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Q#1 Sinusoidal Steady State Analysis GATE EC 1999 MSQ +2 marks -0 marks

A coil with a quality factor (Q) of 10 is put in series with capacitor  of , and the combination is found to draw maximum current when a sinusoidal voltage of frequency 50 Hz is applied. A second capacitor  is now in parallel with the circuit. What should be the capacitance of  for combined circuit to act purely as a resistance for a sinusoidal excitation at a frequency of 100Hz? Calculate the RMS current drawn by the combined circuit at 100 Hz if the applied voltage is 100 V(RMS).         

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