An RLC circuit has a sinusoidal voltage supplied to it at 355 kHz with a peak vo

Question

An RLC circuit has a sinusoidal voltage supplied to it at 355 kHz with a peak voltage of 635 V; a 37 k Ohm resistance; a 13 mu F capacitance; and a 76 H inductance. What is the peak current for this circuit? A) 17 mu A B) 3.7 mu A C) 8.7 mu A D)5.0 mu A An RLC circuit has a resistance of 3.0 k Ohm, a capacitance of 25.0 mu F, and an inductance of 27.0 H. If the frequency of the alternating current is 1.0/pi kHz, what is the phase shift between the current and the voltage? A) -1.5 rad B) 3.1 rad C) 18 rad D)-1.6 rad

Explanation / Answer

(1) ans

Given that

frequency f=355KHz

resistance R=37K ohm

inductance L=76 H

capacitance C=13*10^-6 F

peak voltage V=635 v

now we find the inductance reactance and capacitance reactance

inductance reactance XL=L(2*3.14*f)=76*2*3.14*355*10^3=169434.4*10^3 ohm

capacitance reactance Xc=(1/C*2*3.14*f)1/2*3.14*355*13*10^-6=34.5 ohm

impedence Z=[R^2+(XL-Xc)^2]^1/2=[37000^2+(169434400-34.5)^2]^1/2=1.7*10^8 ohms

now we find the peak current

peak current I=V/Z=635/1.7*10^8=3.7*10^-6 A

the correct option is B

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(2) ans

Given that

resistance R=3000 ohms

inductance L=27 h

capacitance C=25*10^-6 F

frequency f=1/pi KHz

now we find the XL and Xc

XL=2*pi*f*L=2*Pi*1/pi*10^3*27=54*10^3 ohm

Xc=1/2*pi*(1/pi)*10^3*25*10^-6=20 ohms

now we find the phase shift b/w the current and voltage

phase shift=tan^-1[XL-Xc/R]=tan^-1[54000-20/3000]=86.82 degree/57.3=1.52 radians

the correct option is A

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