For the circuit shown, determine the steady-state current when a 10 V battery, resistors of 2 Ω and 3 Ω, and a 5 μF capacitor are connected as shown. [Image]
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For the circuit shown, determine the steady-state current when a 10 V battery, resistors of 2 Ω and 3 Ω, and a 5 μF capacitor are connected as shown. [Image]

G1 Physics · Accepted Answer

Step 1: In an ideal capacitor, current leads AC voltage by 90°. Step 2: i = C(dv/dt); X(C) = 1/(ωC), I(RMS) = V(RMS)/X(C). Step 3: Use ω = 2πf and compare any DC steady-state branch with the AC case. Final answer: (C) 2 A.