Under steady state condition the potential difference across the capacitor in the circuit is _______ V.

Step-by-step solution

In steady state, the capacitor acts as an open circuit, meaning no current flows through the middle branch. The circuit simplifies to a single loop containing the 2 V battery, the 6 resistor, and the 2 resistor. The total resistance of this loop is R_ eq = 2 + 6 = 8 . The current flowing through the loop is I = 2 8 = 0.25 A . The potential difference across the parallel branches is equal to the voltage drop across the 2 resistor: V = I 2 = 0.25 2 = 0.5 V Since there is no current in the middle branch, the voltage d