# Joint Entrance Examination/2000 Screening/Q023 capcitors and dielectric, equivalent capcitance

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| Original Question by Dharav Here's the question... A parallel plate capaciter of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants k1, k2 and k3 as shown. If a single dielectric material is to be used to have the same capacitance C in this capacitor then its dielectric constant k is given by... ${\frac {1}{k}}={\frac {1}{k_{1}}}+{\frac {1}{k_{2}}}+{\frac {1}{2k_{3}}}$ ${\frac {1}{k}}={\frac {1}{k_{1}+k_{2}}}+{\frac {1}{2k_{3}}}$ ${\frac {1}{k}}={\frac {k_{1}k_{2}}{k_{1}+k_{2}}}+{\frac {1}{k_{2}}}+{2k_{3}}$ ${\frac {1}{k}}={\frac {k_{3}k_{1}}{k_{1}+k_{2}}}+{\frac {k_{2}k_{3}}{k_{2}+k_{3}}}$ Posted by Dharav 05:08, 18 August 2009 (UTC) | What's Up? Latest discussions on the forum Electricity-And-Magnetism-Help Joint Entrance Examination/2000 Screening/Q002 Uniform time varying magnetic field and induced electric field Joint Entrance Examination/AIEEE 2009/Q084 ELECTROSTAT Joint Entrance Examination/2000 Screening/Q012 Rotating particle with charge q mass m Joint Entrance Examination/2000 Screening/Q029 Coil of wire with conducting ring at centre and variable current Joint Entrance Examination/2000 Screening/Q021 Ionized gas subjected to electric and magnetic fields Physics-Help User:Thewinster/Sandbox User:Thewinster/Sandbox/Forum-Watch Joint Entrance Examination/2000 Screening/Q023 capcitors and dielectric, equivalent capcitance Joint Entrance Examination/2000 Screening/Q027 Wind power turbine relation between wind speed and output power Joint Entrance Examination/2000 Screening/Q030 Hollow Double Convex Lens with variable liquids inside |
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