Three identical resistors are connected first in series to an electrical voltage V. Let I be the total current flowing in the circuit. These resistors are disconnected and again connected in parallel with the same source. Which of the following statements are true?

(A) The potential difference across each resistor is V/3 in series connection
(B) The potential difference across all three resistors in parallel connection is 3V
(C) The current flowing in each resistor in series connection is the same as I
(D) The current flowing through each resistor in parallel combination is equal to 3I

Choose the correct answer from the options given below:

(A), (C) and (D) only

The correct answer is Option (3) → (A), (C) and (D) only

Let each resistor have resistance $R$.

Series connection:

Total resistance: $R_\text{total} = 3R$

Current: $I = \frac{V}{3R}$

Potential difference across each resistor: $V_\text{resistor} = I \cdot R = \frac{V}{3}$ ✅

Current through each resistor in series: same as total current $I$ ✅

Parallel connection:

Total resistance: $R_\text{total} = \frac{R}{3}$

Total current: $I_\text{total} = \frac{V}{R/3} = \frac{3V}{R} = 9I$

Current through each resistor: $I_\text{resistor} = \frac{V}{R} = 3I$ ✅

Potential difference across each resistor in parallel: $V$ ❌ (not 3V)

Correct statements: (A), (C), (D)