Question

An LRC circuit is connected to a 10.0-kHz, 745-V (rms) source, L = 29.0 mH , R = 8.60 kΩ , and C = 6550 pF

Part A

Determine Impedance

Part B

Determine phase angle

Part C

Determine rms current

Answer 1

given
f = 10 kHz = 10^4 Hz
L = 29 mH = 29*10^-3 H
R = 8.60 K ohm = 8600 ohms
C = 6550 pF = 6.55*10^-9 F
V_rms = 745 V

A) capacitive reactance, Xc = 1/(2*pi*f*C)

= 1/(2*pi*10^4*6.55*10^-9)

= 2430 ohms

inductive reactance, XL = 2*pi*f*L

= 2*pi*10^4*29*10^-3

= 1822 ohms

Impedance of the circuit, Z = sqrt(R^2 + (XL - Xc)^2)

= sqrt(8600^2 + (1822 - 2430)^2)

= 8621 ohms <<<<<---------------Answer

B) phase angle, phi = tan^-1( (XL - Xc)/R)

= tan^-1( (1822 - 2430)/8600)

= 4.04 degrees   <<<<<---------------Answer

C)

Irms = Vrms/Z

= 745/8621

= 0.0864 A (or) 86.4 mA <<<<<---------------Answer