Question

An RLC circuit has a 65.0 Ω resistor, a 7.80 mH inductor and a 230. nF capacitor. What is the peak current if the voltage source oscillates with a peak voltage of 7.10 V, with a frequency of 4.79×10³ Hz?

Answer 1

R 65 r L 7.80 m [ = 7.80 X10M3 H 230 nF 230x 109 E Peak vo Voltage Vp = 7.10 V frequency f 4.79 x103 Hz 3 2 rcf w - 2x3.14 x 4.79 x 103 30.0812 X 103 rad w Sy Impedance, z = SR² + (x - Xc)² where, Inductive Renclance, XL اما 30.0512 x 103 x 7680x103 2.346 X 102 X 11 Capacitive Reactance Xe ) 1 30.0812 x 103 x 330X10-9 Xc 1.44 X 10 z (65)2 + ( 2.346 X 102 1.44X102)2 z = 11.50 2 Peak Current I = 11 7.10 AN Z Il1.50 I = 0.06367 H 6.367 x 10*2 A or I = = 63.67 mA

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