<PAGE>   1
                                                                    EXHIBIT 4.10

NEITHER THIS WARRANT NOR THE SECURITIES ISSUABLE UPON EXERCISE OF THIS WARRANT
HAS BEEN REGISTERED WITH THE SECURITIES AND EXCHANGE COMMISSION OR THE
SECURITIES COMMISSION OF ANY STATE IN RELIANCE UPON AN EXEMPTION FROM
REGISTRATION UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE "SECURITIES
ACT"), AND, ACCORDINGLY, MAY NOT BE OFFERED OR SOLD EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT OR PURSUANT TO AN
AVAILABLE EXEMPTION FROM, OR IN A TRANSACTION NOT SUBJECT TO, THE REGISTRATION
REQUIREMENTS OF THE SECURITIES ACT AND IN ACCORDANCE WITH APPLICABLE STATE
SECURITIES LAWS.


                                     WARRANT

                               FOR COMMON STOCK OF

                                 SHELDAHL, INC.


WARRANT NO.    3

     THIS CERTIFIES that, for value received. Ampersand IV Companion Fund
Limited Partnership, or its permitted assigns (collectively, the "Holder"), is
entitled to purchase from Sheldahl, Inc., a Minnesota corporation (the
"Company"), at any time, and from time to time, during the exercise period
referred to in Section 1 hereof Three Thousand Five Hundred Twenty-Four (3,524)
fully paid, validly issued and nonassessable shares (the "Warrant Shares") of
common stock of the Company, par value $0.25 (the "Common Stock"), at the
exercise price of $0.01 per share (the "Warrant Price"). Securities issuable
upon exercise of this Warrant and the exercise price payable therefor are
subject to adjustment from time to time as hereinafter set forth. As used
herein, the term "Warrant" shall include any warrant or warrants hereafter
issued in consequence of the exercise of this Warrant in part or transfer of
this Warrant in whole or in part. This Warrant is being issued pursuant to that
certain Amended and Restated Subordinated Notes and Warrant Purchase Agreement
dated as of December 28, 2000 between the Company, and the Holders and other
parties named therein (the "Purchase Agreement").



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1.   Exercise; Payment for Ownership Interest.

     (a) Upon the terms and subject to the conditions set forth herein, this
Warrant may be exercised in whole or in part by the Holder hereof at any time,
or from time to time, on or after the Closing (as defined in the Purchase
Agreement) and prior to 5 p.m. Minneapolis time on the seventh anniversary of
the date of the Closing, by presentation and surrender of this Warrant to the
principal offices of the Company, or at the office of its Transfer Agent (as
hereinafter defined), if any, together with the Purchase Form annexed hereto,
duly executed, and accompanied by payment to the Company of an amount equal to
the Warrant Price multiplied by the number of Warrant Shares as to which this
Warrant is then being exercised. The Holder of this Warrant shall be deemed to
be a shareholder of the Warrant Shares as to which this Warrant is exercised in
accordance herewith effective immediately after the close of business on the
date on which the Holder shall have delivered to the Company this Warrant in
proper form for exercise and payment of the Warrant Price for the number of
Warrant Shares as to which the exercise is being made, notwithstanding that the
stock transfer books of the Company shall be then closed or that certificates
representing such Warrant Shares shall not then be physically delivered to the
Holder.

     (b) All or any portion of the Warrant Price may be paid by surrendering
Warrants effected by presentation and surrender of this Warrant to the Company,
or at the office of its Transfer Agent, if any, with a Cashless Exercise Form
annexed hereto duly executed (a "Cashless Exercise"). Such presentation and
surrender shall be deemed a waiver by the Company of the Holder's obligation to
pay all or any portion of the aggregate Warrant Price. Except as provided in
Section 3(b) below, in the event of a Cashless Exercise, the Holder shall
exchange its Warrant for that number of shares of Common Stock determined by
multiplying the number of Warrant Shares for which the Holder desires to
exercise this Warrant by a fraction, the numerator of which shall be the
difference between the then current market price per share of the Common Stock
and the Warrant Price, and the denominator of which shall be the then current
market price per share of Common Stock. For purposes of any computation under
this Section 1(b), the then current market price per share of Common Stock at
any date shall be deemed to be the average for the ten consecutive business days
immediately prior to the Cashless Exercise of the daily closing prices of the
Common Stock on the principal national securities exchange on which the Common
Stock is admitted to trading or listed, or if not listed or admitted to trading
on any such exchange, the closing prices as reported by the Nasdaq National
Market or, if applicable, the Nasdaq SmallCap Market, or if not then included
for quotation on the Nasdaq National Market or the Nasdaq SmallCap Market, the
average of the highest reported bid and lowest reported asked prices as reported
by the OTC Bulletin Board or the



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National Quotations Bureau, as the case may be, or if not then publicly traded,
the fair market price, not less than book value thereof, of the Common Stock as
determined in good faith by the independent members of the Board of Directors of
the Company.

     (c) If this Warrant shall be exercised in part only, the Company shall,
upon surrender of this Warrant for cancellation, execute and deliver a new
Warrant evidencing the rights of the Holder thereof to purchase the balance of
the Warrant Shares purchasable hereunder as to which the Warrant has not been
exercised. If this Warrant is exercised in part, such exercise shall be for a
whole number of Warrant Shares. Upon any exercise and surrender of this Warrant,
the Company (i) will issue and deliver to the Holder a certificate or
certificates in the name of the Holder for the largest whole number of Warrant
Shares to which the Holder shall be entitled and, if this Warrant is exercised
in whole, in lieu of any fractional Warrant Share to which the Holder otherwise
might be entitled, cash in an amount equal to the fair value of such fractional
Warrant Share (determined in such reasonable and equitable manner as the Board
of Directors of the Company shall in good faith determine), and (ii) will
deliver to the Holder such other securities, properties and cash which the
Holder may be entitled to receive upon such exercise, or the proportionate part
thereof if this Warrant is exercised in part, pursuant to the provisions of this
Warrant.

2.   Anti-Dilution Provisions. The Warrant Price in effect at any time and the
number and kind of securities issuable upon exercise of this Warrant shall be
subject to adjustment from time to time upon happening of certain events as
follows:

     2.1 Reorganization, Reclassification, Consolidation, Merger or Sale. If any
capital reorganization, reclassification or any other change of capital stock of
the Company, or any consolidation or merger of the Company with another person,
or the sale or transfer of all or substantially all of its assets to another
person shall be effected in such a way that holders of shares of Common Stock
shall be entitled to receive stock, securities or assets with respect to or in
exchange for their shares of Common Stock, then provision shall be made by the
Company, in accordance with this Section 2.1, whereby the Holder hereof shall
thereafter have the right to purchase and receive, upon the basis and upon the
terms and conditions specified in this Warrant and in addition to or in exchange
for, as applicable, the Warrant Shares subject to this Warrant immediately
theretofore purchasable and receivable upon the exercise of the rights
represented hereby, such securities or assets as would have been issued or
payable with respect to or in exchange for the aggregate Warrant Shares
immediately theretofore purchasable and receivable upon the exercise of the
rights represented hereby if exercise of the Warrant had occurred immediately
prior to such reorganization,



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<PAGE>   4



reclassification, consolidation, merger or sale. The Company will not effect any
such consolidation, merger, sale, transfer or lease unless prior to the
consummation thereof the successor entity (if other than the Company) resulting
from such consolidation or merger or the entity purchasing such assets shall
assume by written instrument (i) the obligation to deliver to the Holder such
securities or assets as, in accordance with the foregoing provisions, the Holder
may be entitled to purchase, and (ii) all other obligations of the Company under
this Warrant; provided, however, that the failure to comply with the foregoing
shall not affect the validity or legality of such consolidation, merger, sale,
transfer or lease. The provisions of this Section 2.1 shall similarly apply to
successive consolidations, mergers, exchanges, sales, transfers or leases. In
the event that in connection with any such capital reorganization or
reclassification, consolidation, merger, sale or transfer, additional shares of
Common Stock shall be issued in exchange, conversion, substitution or payment,
in whole or in part, for a security of the Company other than Common Stock, any
such issue shall be treated as an issue of Common Stock covered by the
provisions of Section 2.2 hereof.

     2.2 Stock Dividends and Securities Distributions. If, at any time or from
time to time after the date of this Warrant, the Company shall distribute to the
holders of shares of Common Stock (i) securities (including rights, warrants,
options or another form of convertible securities), (ii) property, other than
cash, or (iii) cash, without fair payment therefor, then, and in each such case,
the Holder, upon the exercise of this Warrant, shall be entitled to receive such
securities, property and cash which the Holder would hold on the date of such
exercise if, on the date of the distribution, the Holder had been the holder of
record of the shares of Common Stock issued upon such exercise and, during the
period from the date of this Warrant to and including the date of such exercise,
had retained such shares of Common Stock and the securities, property and cash
receivable by the Holder during such period, subject, however, to the Holder
agreeing to any conditions to such distribution as were required of all other
holders of shares of Common Stock in connection with such distribution.

     2.3 Other Adjustments. In addition to those adjustments set forth in
Sections 2.1 and 2.2, but without duplication of the adjustments to be made
under such Sections, if the Company:

          (i) declares or pays a dividend or makes a distribution on its Common
     Stock in shares of its Common Stock;

          (ii) subdivides or reclassifies its outstanding shares of Common Stock
     into a greater number of shares;



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<PAGE>   5



          (iii) combines or reclassifies its outstanding shares of Common Stock
     into a smaller number of shares;

          (iv) makes a distribution on its Common Stock in shares of its capital
     stock other than Common Stock; and/or

          (v) issues, by reclassification of its Common Stock, any shares of its
     capital stock;

then the number and kind of Warrant Shares purchasable upon exercise of this
Warrant shall be adjusted so that the Holder upon exercise hereof shall be
entitled to receive the kind and number of Warrant Shares or other securities of
the Company that the Holder would have owned or have been entitled to receive
after the happening of any of the events described above had this Warrant been
exercised immediately prior to the happening of such event or any record date
with respect thereto. An adjustment made pursuant to this Section 2.3 shall
become effective immediately after the record date in the case of a dividend or
distribution and shall become effective immediately after the effective date in
the case of a subdivision, combination or issuance. If, as a result of an
adjustment made pursuant to this Section 2.3, the Holder of this Warrant
thereafter surrendered for exercise shall become entitled to receive shares of
two or more classes of capital stock or shares of Common Stock and any other
class of capital stock of the Company, the Board of Directors (whose
determination shall be conclusive and shall be described in a written notice to
all holders of Warrants promptly after such adjustment) shall determine the
allocation of the adjusted Warrant Price between or among shares of such classes
of capital stock or shares of Common Stock and such other class of capital
stock.

     The adjustment to the number of Warrant Shares purchasable upon the
exercise of this Warrant described in this Section 2.3 shall be made each time
any event listed in paragraphs (i) through (v) of this Section 2.3 occurs.

     Simultaneously with all adjustments to the number and/or kind of
securities, property and cash under this Section 2.3 to be issued in connection
with the exercise of this Warrant, the Warrant Price will also be appropriately
and proportionately adjusted.

     In the event that at any time, as a result of an adjustment made pursuant
to this Section 2.3, the Holder of this Warrant thereafter shall become entitled
to receive any shares of the Company, other than Common Stock, thereafter the
number of such other shares so receivable upon exercise of this Warrant shall be
subject to adjustment from time to time in a manner and on



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terms as nearly equivalent as practicable to the provisions with respect to the
Common Stock contained in Sections 2.1 and 2.2 above.

     2.4 Notice of Adjustments. Upon the occurrence of each adjustment or
readjustment of the Warrant Price pursuant to this Section 2, the Company at its
expense will promptly compute such adjustment or readjustment in accordance with
the terms of this Warrant and prepare a certificate setting forth such
adjustment or readjustment, including a statement of the adjusted Warrant Price
or adjusted number of Warrant Shares, if any, issuable upon exercise of each
Warrant, describing the transaction giving rise to such adjustments and showing
in detail the facts upon which such adjustment or readjustment is based. The
Company will forthwith mail, by first class mail, postage prepaid, a copy of
each such certificate to the Holder of this Warrant at the address of such
Holder as shown on the books of the Company, and to its Transfer Agent.

     2.5 Other Notices. If at any time:

     (a) the Company shall (i) offer for subscription pro rata to the holders of
shares of the Common Stock any additional equity in the Company or other rights;
(ii) pay a dividend in additional shares of the Common Stock or distribute
securities or other property to the holders of shares of the Common Stock
(including, without limitation, evidences of indebtedness and equity and debt
securities) (other than dividends payable in the form of the Company's Common
Stock to holders of the Company's Series D, E, F and G Convertible Preferred
Stock or other series of preferred stock); or (iii) issue securities convertible
into, or rights or warrants to purchase, securities of the Company;

     (b) there shall be any capital reorganization or reclassification or
consolidation or merger of the Company with, or sale, transfer or lease of all
or substantially all of its assets to, another entity; or

     (c) there shall be a voluntary or involuntary dissolution, liquidation or
winding up of the Company;

then, in any one or more of said cases, the Company shall give, by first class
mail, postage prepaid, to the Holder of this Warrant at the address of such
Holder as shown on the books of the Company, (a) at least 15 days' prior written
notice of the date on which the books of the Company shall close or a record
shall be taken for such subscription rights, dividend, distribution or issuance,
and (b) in the case of any such reorganization, reclassification, consolidation,
merger, sale, dissolution, liquidation or winding up, at least 15 days' prior
written notice of the date when the same shall take place if no stockholder vote
is required and at least 15 days' prior written notice of the record date for
stockholders entitled to



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vote upon such matter if a stockholder vote is required. Such notice in
accordance with the foregoing clause (a) shall also specify, in the case of any
such subscription rights, the date on which the holders of shares of Common
Stock shall be entitled to exercise their rights with respect thereto, and such
notice in accordance with the foregoing clause (b) shall also specify the date
on which the holders of shares of Common Stock shall be entitled to exchange
their shares of Common Stock for securities or other property deliverable upon
such reorganization, reclassification, consolidation, merger, sale, dissolution,
liquidation or winding up, as the case may be. Failure to give the notice
referred to herein shall not affect the validity or legality of the action which
should have been the subject of the notice.

     2.6 No adjustment in the Warrant Price shall be required unless such
adjustment would require an increase or decrease of at least one cent ($0.01) in
such price; provided, however, that any adjustments which by reason of this
Section 2.6 are not required to be made shall be carried forward and taken into
account in any subsequent adjustment required to be made hereunder. All
calculations under this Section 2 shall be made to the nearest cent or to the
nearest one-hundredth of a share, as the case may be.

3.   No Voting Rights. This Warrant shall not be deemed to confer upon the
Holder any right to vote or to consent to or receive notice as a stockholder of
the Company, as such, in respect of any matters whatsoever, or any other rights
or liabilities as a stockholder, prior to the exercise hereof.

4.   Warrants Transferable. This Warrant and all rights hereunder are
transferable, in whole or in part, at the principal offices of the Company by
the Holder hereof, upon surrender of this Warrant properly endorsed; provided,
that this Warrant and all rights hereunder may be transferred only (i) in a
transaction exempt from registration under the 1933 Act, provided that the
Company receives an opinion of counsel that such transfer may be effected
without registration under the 1933 Act; or (ii) pursuant to the registration of
this Warrant or the Warrant Shares under the 1933 Act or subsequent to one year
from the date hereof pursuant to an available exemption from such registration.
It shall be a condition to transfer of this Warrant that the transferee agrees
to be bound by the restrictions on transfer contained in this Section 4.

5.   Warrants Exchangeable; Assignment; Loss, Theft, Destruction, Etc. This
Warrant is exchangeable, without expense, upon surrender hereof by the Holder
hereof at the principal offices of the Company, or at the office of its Transfer
Agent, if any, for new Warrants of like tenor representing in the aggregate the
right to subscribe for and purchase the Warrant Shares which may be subscribed
for and purchased hereunder, each such new Warrant to represent the right to
subscribe for and purchase such Warrant Shares as shall be designated by such



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Holder hereof at the time of such surrender. Upon surrender of this Warrant to
the Company at its principal office, or at the office of its Transfer Agent, if
any, with an instrument of assignment duly executed and funds sufficient to pay
any transfer tax, the Company shall, without charge, execute and deliver a new
Warrant in the name of the assignee named in such instrument of assignment and
this Warrant shall promptly be cancelled. This Warrant may be divided or
combined with other warrants which carry the same rights upon presentation
hereof at the principal office of the Company, or at the office of its Transfer
Agent, if any, together with a written notice specifying the names and
denominations in which new Warrants are to be issued and signed by the Holder
hereof. The term "Warrant" as used herein includes any Warrants into which this
Warrant may be divided or exchanged. Upon receipt of evidence satisfactory to
the Company of the loss, theft, destruction or mutilation of this Warrant and,
in the case of any such loss, theft or destruction, upon delivery of a bond or
indemnity satisfactory to the Company, or, in the case of any such mutilation,
upon surrender or cancellation of this Warrant, the Company will issue to the
Holder hereof a new Warrant of like tenor, in lieu of this Warrant, representing
the right to subscribe for and purchase the Warrant Shares which may be
subscribed for and purchased hereunder. Any such new Warrant executed and
delivered shall constitute an additional contractual obligation of the Company,
whether or not this Warrant so lost, stolen, destroyed, or mutilated shall be at
any time enforceable by anyone.

6.   Legend. Any certificate evidencing the securities issued upon exercise of
this Warrant shall bear a legend in substantially the following form:

                  THESE SECURITIES HAVE NOT BEEN REGISTERED WITH THE SECURITIES
         AND EXCHANGE COMMISSION OR THE SECURITIES COMMISSION OF ANY STATE IN
         RELIANCE UPON AN EXEMPTION FROM REGISTRATION UNDER THE SECURITIES ACT
         OF 1933, AS AMENDED (THE "SECURITIES ACT"), AND, ACCORDINGLY, MAY NOT
         BE OFFERED OR SOLD EXCEPT PURSUANT TO AN EFFECTIVE REGISTRATION
         STATEMENT UNDER THE SECURITIES ACT OR PURSUANT TO AN AVAILABLE
         EXEMPTION FROM, OR IN A TRANSACTION NOT SUBJECT TO, THE REGISTRATION
         REQUIREMENTS OF THE SECURITIES ACT AND IN ACCORDANCE WITH APPLICABLE
         STATE SECURITIES LAWS.

                  THE CORPORATION WILL FURNISH TO ANY SHAREHOLDER UPON REQUEST
         AND WITHOUT CHARGE, A FULL STATEMENT OF THE DESIGNATIONS, PREFERENCES,
         LIMITATIONS AND RELATIVE RIGHTS OF THE SHARES OF EACH CLASS OR SERIES
         OF CAPITAL



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<PAGE>   9



         STOCK AUTHORIZED TO BE ISSUED, SO FAR AS THEY HAVE BEEN
         DETERMINED, AND THE AUTHORITY OF THE BOARD TO DETERMINE THE RELATIVE
         RIGHTS AND PREFERENCES OF THE SUBSEQUENT CLASSES OR SERIES.

                  The shares of Common Stock of Sheldahl, Inc. into which the
         securities represented by this certificate are convertible entitle the
         holder thereof to certain Rights as set forth in the Rights Agreement
         between Sheldahl, Inc. and Wells Fargo Bank, N.A., dated as of June 16,
         1996 and amended on July 25, 1998 and November 10, 2000 (the "Rights
         Agreement"), a copy of which is on file at the principal offices of
         Sheldahl, Inc. Under certain circumstances, such Rights issued to or
         held by an Acquiring Person, or Affiliate or Associate thereof (as
         defined in the Rights Agreement), and any subsequent holder of such
         Rights, may become null and void.

7.   Modifications and Waivers. The terms of the Warrants may be amended,
modified or waived only by the written agreement of the Company and the Holder.

8.   Miscellaneous. The Company shall pay all expenses and other charges payable
in connection with the preparation, issuance and delivery of this Warrant and
all substitute Warrants. The Holder shall pay all taxes (other than any issuance
taxes, including, without limitation, documentary stamp taxes, transfer taxes
and other governmental charges, which shall be paid by the Company) in
connection with such issuance and delivery of this Warrant and the Warrant
Shares.

     The Company shall maintain, at the office or agency of the Company
maintained by the Company, books for the registration and transfer of the
Warrant.

9.   Reservation of Warrant Shares. Subject to an affirmative vote of the
holders of a majority of the outstanding shares of Common Stock of the Company
to amend the Company's Amended and Restated Articles of Incorporation to
increase the authorized shares of Common Stock in sufficient amount to cover
such reservation, the Company will at all times reserve and keep available, free
from preemptive rights, out of the aggregate of its authorized but unissued
Common Stock or its authorized and issued Common Stock held in its treasury,
solely for the purpose of enabling it to satisfy any obligation to issue Warrant
Shares upon exercise of this Warrant, the maximum number of shares of Common
Stock which may then be deliverable upon the exercise of this Warrant.

     The Company or, if appointed, the Transfer Agent for the Common



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Stock (the "Transfer Agent") and every subsequent transfer agent for any shares
of the Company's capital stock issuable upon the exercise of any of the rights
of purchase aforesaid will be irrevocably authorized and directed at all times
to reserve such number of authorized shares as shall be required for such
purpose. The Company will keep a copy of this Warrant on file with the Transfer
Agent and with every subsequent transfer agent for any shares of the Company's
capital stock issuable upon the exercise of the rights of purchase represented
by this Warrant. The Company will furnish such Transfer Agent a copy of all
notices of adjustments and certificates related thereto transmitted to the
Holder pursuant to Section 2.5 hereof.

     The Company covenants that all Warrant Shares which may be issued upon
exercise of this Warrant will, upon issue, assuming the availability of
sufficient authorized shares of Common Stock of the Company at the time of such
issuance, be fully paid, nonassessable, free of preemptive rights and free from
all taxes, liens, charges and security interests with respect to the issue
thereof.

10.   Registration. The Holder shall be entitled to demand and "piggyback"
registration rights with respect to the Warrant Shares, as set forth in a
Registration Rights Agreement, dated as of December 28, 2000, among the Company
and the other signatories thereto.

11.   Descriptive Headings and Governing Law. The descriptive headings of the
several paragraphs of this Warrant are inserted for convenience only and do not
constitute a part of this Warrant. This Warrant shall be construed and enforced
in accordance with the laws of the State of Minnesota, and the rights of the
parties shall be governed by, the law of such State.




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<PAGE>   11


     IN WITNESS WHEREOF, this Warrant has been executed as of the 28 day of
December, 2000.


                                            SHELDAHL, INC.


                                            By: /s/ Jill D. Burchill
                                               ---------------------------------
                                               Name: Jill D. Burchill
                                               Title: Vice President and Chief
                                                      Financial Officer




<PAGE>   12


                                  PURCHASE FORM



                                                          Dated:__________, ____



     The undersigned hereby irrevocably elects to exercise the within Warrant to
the extent of purchasing _____ Warrant Shares and hereby makes payment of
$_____________ in payment of the exercise price thereof.



                                            ------------------------------------


<PAGE>   13


                                CASHLESS EXERCISE



                                                          Dated:__________, ____



     The undersigned irrevocably elects to exercise the within Warrant for
Warrant Shares and hereby makes payment pursuant to the Cashless Exercise
provision of the within Warrant, and directs that the payment of the Warrant
Price be made by cancellation as of the date of exercise of a portion of the
within Warrant in accordance with the terms and provisions of Section 1(b) of
the within Warrant.



                                            ------------------------------------