An electrical circuit having combinations of resistances and capacitance is given below. The current, flowing through the circuit will be

The correct answer is Option 1 (1 A).

To determine the current flowing through the circuit, we must consider the behavior of a capacitor in a Direct Current (DC) circuit under steady-state conditions. The key principles are:

• Steady-State Behavior: In a DC circuit, once the capacitor is fully charged (steady state), it offers infinite resistance. Therefore, no current flows through the branch containing the capacitor.
• Circuit Simplification: Since the capacitive branch acts as an open circuit, we ignore it when calculating the total current. We only consider the resistances connected in series and parallel that form the closed loop with the voltage source.
• Ohm's Law: By calculating the equivalent resistance (Req) of the active branches and applying I = V / Req, the resulting current is found to be 1 A.

Options 2, 3, and 4 are incorrect because they likely result from incorrectly including the capacitive branch in the resistance calculation or misapplying Kirchhoff’s laws to a steady-state DC system.