Inductance L is connected to an AC source, and current is i = I₀sinωt. The voltage across the inductor is: [Image]
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Question

Inductance L is connected to an AC source, and current is i = I₀sinωt. The voltage across the inductor is: [Image]

G1 Physics · Accepted Answer

Step 1: Inductor voltage vₗ = L(di/dt). Step 2: Differentiate i = I₀sinωt to obtain di/dt = ωI₀cosωt. Step 3: Therefore vₗ = ωLI₀cosωt (option D). Final answer: (D) ωLI₀cosωt.