1) An LRC circuit consists of a 50 resistor, 30mH inductor, and 130F capacitor.

Question

1) An LRC circuit consists of a 50 resistor, 30mH inductor, and 130F capacitor. It is connected to a 120V, 60Hz source. Find the IMPEDANCE of this circuit? (express the value with one decimal place)

2) An LRC circuit consists of a 50 resistor, 30mH inductor, and 130F capacitor. It is connected to a 120V, 60Hz source. Find the CURRENT in this circuit? (express the value with one decimal place)

3) An LRC circuit consists of a 50 resistor, 30mH inductor, and 130F capacitor. It is connected to a 120V, 60Hz source. Find the PHASE ANGLE for this circuit? (in degrees (o) and express the value with one decimal place)

Explanation / Answer

here,

1)

R = 50 ohm

L = 0.03 H

C = 1.3 * 10^-4 F

f = 60 Hz

impedance , Z= sqrt( R^2 + ( 2*pi*f*L - 1/(2*pi*f*C))^2)

Z = sqrt( 50^2 + ( 2*pi*60*0.03 - 1/(2*pi*60*1.3*10^-4))^2)

Z = 50.8 V

the impedance is 50.8 V

2)

V = 120 V

current , I = V/Z

I = 120 /50.8 = 2.36 A

C)

phase angle , phi = arccos(R/Z)

phi = arccos(50/50.8)

phi = 10.18 degree

the phase angle for this sircuit is 10.18 degree

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.