Engineering

Physics

Parallel Plate Capacitor

Question

The figure below shows four parallel plate capacitors : A, B, C and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant κ = 5.

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

JEE Advance

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Linked Question 1

Which capacitor has the largest potential difference between its plates?

A

A

B

D

C

A and D are the same and larger than B or C

D

B

q = CV = constant
V ∝ $\frac{1}{C}$
V → maximum C – minimum

Linked Question 2

Which list below places the capacitors in order of increasing capacitance?

A

A, B, C, D

B

B, A, D, C

C

A, B, D, C

D

B, A, C, D

$C_{A} = \frac{ϵ_{0} A}{d} C_{B} = \frac{ϵ_{0} A}{2 d} C_{C} = \frac{5 ϵ_{0} A}{d} C_{D} = \frac{5 ϵ_{0} A}{2 d}$
C_B < C_A < C_D < C_C

Ans. B, A, D, C