In a series resonant LCR circuit, the voltage across R is 100 V and R = 1 k Ω with C = 2 μ F . The resonant frequency ω is 200 rad s - 1 . At resonance the voltage across L is

Question

In a series resonant LCR circuit, the voltage across R is 100 V and R = 1 k Ω with C = 2 μ F . The resonant frequency ω is 200 rad s - 1 . At resonance the voltage across L is, 4 × 10 - 3 V, 2.5 × 10 - 2 V, 40 V, 250 V

MARKS App · Accepted Answer

Current I = E Z where E = V R 2 + V L - V C 2 Z = R 2 + X L - X C 2 At resonance, X L = X C ∴ Z = R Again at resonance, V L = V C ∴ E = V R ∴ I = V R R = 100 1 × 10 3 = 0.1 A ∴ V L = I L ω = I C ω = 0.1 2 × 10 - 6 × 200 ∴ V L = 250 V .

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