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

TestHub · Accepted Answer

Comparing input voltage with standard expression, $V = V_{0} cos (ω t)$ , we get $ω = 100 π$ .

Now, impedance $Z = R^{2} + (X_{L} - X_{C})^{2}$

$= 8 0^{2} + (100 - 40)^{2}$

$= 100Ω$

Therefore, peak current

$i_{0} = \frac{V _{0}}{Z} = \frac{2500}{100} A = 25 A$

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