A series LCR circuit is subjected to an AC signal of 200 V, 50 Hz. If the voltage across the inductor (L = 10 mH) is 31.4 V, then the current in this circuit i $s ________$ :
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A series LCR circuit is subjected to an AC signal of 200 V, 50 Hz. If the voltage across the inductor (L = 10 mH) is 31.4 V, then the current in this circuit i s ________ :

G1 Physics · Accepted Answer

Voltage across the inductor: V(L) = IX(L) Inductive reactance: X(L) = ωL = 2πfL = 2 × 3.14 × 50 × 10 × 10⁻³ = 3.14 Ω Therefore: 31.4 = I × 3.14 I = 10 A