Question

If \( E_1 = 4V \) and \( E_2 = 12V \), the current in the circuit and potential difference between the points P and Q respectively are:

• A. \( 1A, 8V \)
• B. \( 1A, 6V \)
• C. \( 0.8A, 6.4V \)
• D. \( 0.8A, 8V \)

Hint:

Use KVL to analyze complex circuits: \[ \sum V = IR_{\text{total}}. \] Identify series and parallel resistances carefully before solving.

Answer 1

The Correct Option is C

Using Kirchhoff's Voltage Law (KVL) and Ohm’s Law: \[ I = \frac{V_{\text{total}}}{R_{\text{total}}} = \frac{12 - 4}{8 + 1 + 1}. \] \[ I = \frac{8}{10} = 0.8A. \] \[ V_{\text{PQ}} = IR = 0.8 \times 8 = 6.4V. \] Thus, the correct answer is: \[ \boxed{0.8A, 6.4V}. \]