<PAGE>
                                                                      Exhibit 24


                        ATLANTIC CITY ELECTRIC COMPANY
                        ------------------------------

                               POWER OF ATTORNEY
                               -----------------

  The undersigned, a director or officer of Atlantic City Electric Company, a
New Jersey corporation, does hereby appoint H. E. COSGROVE, B. S. GRAHAM and L.
M. WALTERS and each of them (with power to act without the other), including
full power of substitution and revocation, as the undersigned's true and lawful
attorneys-in-fact and agents, with full power and authority to act in all
capacities for him/her and in his/her name, place and stead in connection with
the filing with the Securities and Exchange Commission, pursuant to the
Securities Exchange Act of 1934, as amended, of an Annual Report on Form 10-K
for the year ended December 31, 1997, and any and all amendments thereto, and
execute and deliver for the undersigned and in his/her name, place and stead all
such other documents or instruments and to take such further action as they, or
any of them, deem appropriate.  The undersigned hereby ratifies and adopts as
his/her own act and deed the acts lawfully taken by said attorneys-in-fact and
agents, or any of them, or by their respective substitutes pursuant to the
powers and authorities granted herein.

  IN WITNESS WHEREOF, the undersigned has executed this document as of this
twelfth day of March, 1998.


                                                /s/ B. R. Elson
                                                ________________________
                                                B. R. Elson, Director
<PAGE>

                        ATLANTIC CITY ELECTRIC COMPANY
                        ------------------------------

                               POWER OF ATTORNEY
                               -----------------

  The undersigned, a director or officer of Atlantic City Electric Company, a
New Jersey corporation, does hereby appoint H. E. COSGROVE, B. S. GRAHAM and L.
M. WALTERS and each of them (with power to act without the other), including
full power of substitution and revocation, as the undersigned's true and lawful
attorneys-in-fact and agents, with full power and authority to act in all
capacities for him/her and in his/her name, place and stead in connection with
the filing with the Securities and Exchange Commission, pursuant to the
Securities Exchange Act of 1934, as amended, of an Annual Report on Form 10-K
for the year ended December 31, 1997, and any and all amendments thereto, and
execute and deliver for the undersigned and in his/her name, place and stead all
such other documents or instruments and to take such further action as they, or
any of them, deem appropriate.  The undersigned hereby ratifies and adopts as
his/her own act and deed the acts lawfully taken by said attorneys-in-fact and
agents, or any of them, or by their respective substitutes pursuant to the
powers and authorities granted herein.

  IN WITNESS WHEREOF, the undersigned has executed this document as of this
twelfth day of March, 1998.



                                        /s/ T. S. Shaw
                                        ________________________
                                        T. S. Shaw
<PAGE>

                        ATLANTIC CITY ELECTRIC COMPANY
                        ------------------------------

                               POWER OF ATTORNEY
                               -----------------

  The undersigned, a director or officer of Atlantic City Electric Company, a
New Jersey corporation, does hereby appoint H. E. COSGROVE, B. S. GRAHAM and L.
M. WALTERS and each of them (with power to act without the other), including
full power of substitution and revocation, as the undersigned's true and lawful
attorneys-in-fact and agents, with full power and authority to act in all
capacities for him/her and in his/her name, place and stead in connection with
the filing with the Securities and Exchange Commission, pursuant to the
Securities Exchange Act of 1934, as amended, of an Annual Report on Form 10-K
for the year ended December 31, 1997, and any and all amendments thereto, and
execute and deliver for the undersigned and in his/her name, place and stead all
such other documents or instruments and to take such further action as they, or
any of them, deem appropriate.  The undersigned hereby ratifies and adopts as
his/her own act and deed the acts lawfully taken by said attorneys-in-fact and
agents, or any of them, or by their respective substitutes pursuant to the
powers and authorities granted herein.

  IN WITNESS WHEREOF, the undersigned has executed this document as of this
twelfth day of March, 1998.


                                        /s/ M. I. Harlacher, Jr.
                                        ________________________
                                        M. I. Harlacher, Jr.
<PAGE>

                        ATLANTIC CITY ELECTRIC COMPANY
                        ------------------------------

                               POWER OF ATTORNEY
                               -----------------

  The undersigned, a director or officer of Atlantic City Electric Company, a
New Jersey corporation, does hereby appoint H. E. COSGROVE and L. M. WALTERS and
each of them (with power to act without the other), including full power of
substitution and revocation, as the undersigned's true and lawful attorneys-in-
fact and agents, with full power and authority to act in all capacities for
him/her and in his/her name, place and stead in connection with the filing with
the Securities and Exchange Commission, pursuant to the Securities Exchange Act
of 1934, as amended, of an Annual Report on Form 10-K for the year ended
December 31, 1997, and any and all amendments thereto, and execute and deliver
for the undersigned and in his/her name, place and stead all such other
documents or instruments and to take such further action as they, or any of
them, deem appropriate.  The undersigned hereby ratifies and adopts as his/her
own act and deed the acts lawfully taken by said attorneys-in-fact and agents,
or any of them, or by their respective substitutes pursuant to the powers and
authorities granted herein.

  IN WITNESS WHEREOF, the undersigned has executed this document as of this
twelfth day of March, 1998.


                                        /s/ B. S. Graham
                                        ________________________
                                        B. S. Graham
<PAGE>

                        ATLANTIC CITY ELECTRIC COMPANY
                        ------------------------------

                               POWER OF ATTORNEY
                               -----------------


  The undersigned, a director or officer of Atlantic City Electric Company, a
New Jersey corporation, does hereby appoint B. S. GRAHAM and L. M. WALTERS and
each of them (with power to act without the other), including full power of
substitution and revocation, as the undersigned's true and lawful attorneys-in-
fact and agents, with full power and authority to act in all capacities for
him/her and in his/her name, place and stead in connection with the filing with
the Securities and Exchange Commission, pursuant to the Securities Exchange Act
of 1934, as amended, of an Annual Report on Form 10-K for the year ended
December 31, 1997, and any and all amendments thereto, and execute and deliver
for the undersigned and in his/her name, place and stead all such other
documents or instruments and to take such further action as they, or any of
them, deem appropriate.  The undersigned hereby ratifies and adopts as his/her
own act and deed the acts lawfully taken by said attorneys-in-fact and agents,
or any of them, or by their respective substitutes pursuant to the powers and
authorities granted herein.

  IN WITNESS WHEREOF, the undersigned has executed this document as of this
twelfth day of March, 1998.


                                        /s/ H. E. Cosgrove
                                        ________________________
                                        H. E. Cosgrove