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Q. No.A parallel-plate capacitor of area \(A,\) plate separation \(d,\) and capacitance \(C\) is filled with four dielectric materials having dielectric constants \(k_1,~k_2,~k_3\) and \(k_4\) as shown in the figure below. 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:
1. \(k = k_{1} + k_{2} + k_{3} + 3 k_{4}\)
3. \(\dfrac{1}{k} = \dfrac{3}{2 \left(k_{1} + k_{2} + k_{3}\right)} + \dfrac{1}{2 k_{4}}\)
4. \(\dfrac{1}{k} = \dfrac{1}{k_{1}} + \dfrac{1}{k_{2}} + \dfrac{1}{k_{3}} + \dfrac{3}{2 k_{4}}\)
Subtopic: Â Dielectrics in Capacitors |
 70%
Level 2: 60%+
NEET - 2016
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