There are four capacitors: $C_1, C_2, C_3$ and $C_4$ with equal capacitance $C_0$- (A) for capacitor $C_1$ area of the plates is doubled Choose the correct answer from the options given below: |
(A), (B), (C), (D) (C), (A), (D), (B) (B), (A), (D), (C) (C), (B), (D), (A) |
(C), (A), (D), (B) |
The correct answer is Option (2) → (C), (A), (D), (B) Capacitance of a parallel-plate capacitor: $C = \frac{\epsilon A}{d}$ Given initial capacitance $C_0$ for all capacitors. Capacitor modifications: (A) $C_1$: Area doubled, $C_1 = \frac{\epsilon (2A)}{d} = 2 C_0$ (B) $C_2$: Distance tripled, $C_2 = \frac{\epsilon A}{3d} = \frac{C_0}{3}$ (C) $C_3$: Filled with dielectric $K = 3$, $C_3 = \frac{3 \epsilon A}{d} = 3 C_0$ (D) $C_4$: No change, $C_4 = C_0$ Arrange in decreasing order of capacitance: $C_3 > C_1 > C_4 > C_2$ Final Answer: $C_3, C_1, C_4, C_2$ |