7) A simple LRC (Inductor, Resistor, Capacitor) circuit has a 125.00 ohm resisto

Question

7) A simple LRC (Inductor, Resistor, Capacitor) circuit has a 125.00 ohm resistor, 225.00 mH inductor, and a 2.50 (10)-5F capacitor. The frequency of the ac source is 100 Hz. 8) A simple LRC circuit has an impedance of 10 ohms. The inductive Reactance is 50 ohms and the Capacitive Reactance is 44 ohms when the ac source has a frequency of 100 Hz. a) What is the value of the resistor, R? b) What is the value of the inductor, L-? c) What is the value of the capacitor, C-? 9) A simple LRC circuit has a frequency of 60 Hz. The circuit has an 8.00 ohm resistor, a 2.00 H inductor, anda 4.7915 microfarad capacitor a) What is the impedance of the circuit? b) Is the circuit considered as an inductive circuit or a capacitive circuit? c) What is the phase angle between the voltage and current? 10) At what frequency would the Inductive reactance equal the Capacitive reactance? Given a 25 mill-Henry inductor and a 101.32 micro-Farad capacitor, f = ? when XL-Xc 2 nducea v

Explanation / Answer

7)

(a) XL = 2pi*f*L

= 2pi* 100* 225*10-3

= 141.37 ohm

(b)

XC = 1/2pi*fC

= 1/(2pi*100*2.5*10-5)

= 63.66 ohm

(c)

Z = sqrt (R2 + (XL - XC)2)

= 147.18 ohm

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