In a series RLC circuit, the resistance is 26 Ohm, the capacitance is 64 muF and

Question

In a series RLC circuit, the resistance is 26 Ohm, the capacitance is 64 muF and the inductance is 52 mH. The AC generator provides an rms voltage of 100 V operating at 1000 rad/s. Find the power supplied by the source. Answer in units of W.

Explanation / Answer

Given that rms = 100 V ==> m =rms 2 = 100 * 2 = 141.42 V R = 26 C = 64F L = 52 mH = 1000 rad/s Formula to calculate current                                          I = m / [ R2 +(L - 1 / C)2     = 141.42 / [ 262 + (1000*50x10-3 - 1 / 1000 *64 x10-6)2                      = 3.281 A The power supplied by the source is                    P = Irms2 R                       = (I/2)2 R                       = (3.281 / 1.414)2 * 26                       = 140 W

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