A series LCR circuit consists of R = 80 Ω . X L = 100 Ω , and X C = 40 Ω . The input voltage is 2500 cos 100 π t V . The amplitude of current, in the circuit, is _____ A .

Question

A series LCR circuit consists of R = 80 Ω . X L = 100 Ω , and X C = 40 Ω . The input voltage is 2500 cos 100 π t V . The amplitude of current, in the circuit, is _____ A .,

MARKS App · Accepted Answer

Comparing input voltage with standard expression, V = V 0 cos ω t , we get ω = 100 π . Now, impedance Z = R 2 + X L - X C 2 = 80 2 + 100 - 40 2 = 100 Ω Therefore, peak current i 0 = V 0 Z = 2500 100 A = 25 A

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