In the RLC circuit shown at right, the capaci- tance C may be varied while L...

 

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In the RLC circuit shown at right, the capaci- tance C may be varied while L and R are fixed. The generator produces a peak EMF E,max at an unknown froquency w. The inductive reac- tance X, is given to the right, but the act ual R R= 200 2 XL = 450 2 Emax = 120 V E inductance L is unlknown. へ 1. [5 points] The circuit is in resonance when the capacitance is sot to C = 200 µF. What is the inductance Lof the inductor and the frequency ws of the generator? 2. [4 points] The capacitance is set to C = 350 µF so that the circuit is not in resonance. What is the phase angle o of the generator voltage E with respect to the current I? 3. [3 points] Does the generator voltage E lead or lag the current I when C= 350µF? Page 1 of 2 The problem is continued from the previous page. In the RLC circuit shown at right, the capaci- tance C may be varied while L and R are fixed. The generator produces a peak EMF Emax at an unknown frequency w. The inductive reac- tance X1, is given to the right, but the actual R R= 200 2 X = 450 2 Emax= 120 V E indluctance L is unknown. 4. [4 points] What is the total impedance Z of the circuit when C = 350 pF? 5. [4 points] Draw the phasor diagram when C = 350 µF for every voltage in the circuit (E, Ve, VR, and V) on the axes below. Give the length of each phasor and the angles bet ween phasors numerically. Page 2 of 2 In the RLC circuit shown at right, the capaci- tance C may be varied while L and R are fixed. The generator produces a peak EMF E,max at an unknown froquency w. The inductive reac- tance X, is given to the right, but the act ual R R= 200 2 XL = 450 2 Emax = 120 V E inductance L is unlknown. へ 1. [5 points] The circuit is in resonance when the capacitance is sot to C = 200 µF. What is the inductance Lof the inductor and the frequency ws of the generator? 2. [4 points] The capacitance is set to C = 350 µF so that the circuit is not in resonance. What is the phase angle o of the generator voltage E with respect to the current I? 3. [3 points] Does the generator voltage E lead or lag the current I when C= 350µF? Page 1 of 2 The problem is continued from the previous page. In the RLC circuit shown at right, the capaci- tance C may be varied while L and R are fixed. The generator produces a peak EMF Emax at an unknown frequency w. The inductive reac- tance X1, is given to the right, but the actual R R= 200 2 X = 450 2 Emax= 120 V E indluctance L is unknown. 4. [4 points] What is the total impedance Z of the circuit when C = 350 pF? 5. [4 points] Draw the phasor diagram when C = 350 µF for every voltage in the circuit (E, Ve, VR, and V) on the axes below. Give the length of each phasor and the angles bet ween phasors numerically. Page 2 of 2