An inductive reactance, X L = 100Ω , a capacitive reactance, X C = 100Ω , and a resistance R = 100Ω , are connected in series with a source of 100 sin ( 50 t ) volts. Which of the following statem

Question

An inductive reactance, X L ​ = 100Ω , a capacitive reactance, X C ​ = 100Ω , and a resistance R = 100Ω , are connected in series with a source of 100 sin ( 50 t ) volts. Which of the following statements are correct?

TestHub · Accepted Answer

The circuit is in resonance since X L ​ = X C ​ = 100Ω . The net impedance Z = R = 100Ω . The maximum current I 0 ​ = V 0 ​ / Z = 100 V /100Ω = 1 A . Maximum voltages: V L 0 ​ = I 0 ​ X L ​ = 1 A × 100Ω = 100 V . V C 0 ​ = I 0 ​ X C ​ = 1 A × 100Ω = 100 V . V R 0 ​ = I 0 ​ R = 1 A × 100Ω = 100 V . The maximum voltage across the series circuit is V 0 ​ = 100 V .

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