Inductor AC circuit

Electricity and Magnetism Level 2

What driving frequency is required for a L = 2 H L=2\text{ H} inductor to pull 2 A of current from an ε = 220 V \varepsilon = 220 \text{ V} AC source?

220 rad s 220 \frac{\text{rad}}{\text{s}} 880 rad s 880 \frac{\text{rad}}{\text{s}} 110 rad s 110 \frac{\text{rad}}{\text{s}} 55 rad s 55 \frac{\text{rad}}{\text{s}}

July Thomas by July Thomas , 30, USA

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1 solution

Tom Engelsman
Dec 1, 2016

Taking Ohm's Law with inductive impedance:

V = ∣ Z L ∣ ⋅ I = ω L I ⇒ ω = V L I = 220 ( 2 ) ( 2 ) = 55 V = |Z_L| \cdot I = \omega LI \Rightarrow \omega = \frac{V}{LI} = \frac{220}{(2)(2)} = 55 rad/sec.

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