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The steady state current in the circuit shown below is:

Asked in Re-NEET 2024 · Capacitors in DC circuits

Figure: Capacitors in DC circuits

(1) 0.67 A
(2) 1.5 A
(3) 2 A
(4) 1 A

Answer: (3) 2 A

Step-by-step solution

In the steady state the capacitor is fully charged and its branch (the 5 μF with the 5 Ω) carries no current.

The current flows round the loop of the cell, the 2 Ω and the 3 Ω.

I=(10)/(2+3)=2 A.

Why the other options are wrong

(1) No single slip gives 0.67 A; it would need 15 Ω in the loop, more than all three resistors together (10 Ω).
(2) No single slip gives 1.5 A; it would need about 6.7 Ω in the loop, and no series or parallel grouping of 2, 5 and 3 Ω gives that.
(4) Adds the 5 Ω into the loop, (10)/(2+5+3); it is in the capacitor's branch, which carries no steady current.

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