HELP PLEASE!!! Express answer in ohms. 1. A series circuit consists of an ac sou
ID: 1287340 • Letter: H
Question
HELP PLEASE!!!
Express answer in ohms.
1. A series circuit consists of an ac source of variable frequency, a 145? resistor, a 1.25?Fcapacitor, and a 4.72mH inductor.
a) Find the impedance of this circuit when the angular frequency of the ac source is adjusted to the resonance angular frequency.
b)Find the impedance of this circuit when the angular frequency of the ac source is adjusted to twice the resonance angular frequency.
c) Find the impedance of this circuit when the angular frequency of the ac source is adjusted to half the resonance angular frequency.
Explanation / Answer
a) at resonance, Z = R = 145 ohms
w = 1/sqrt( L C) = 1/sqrt(1.25E-6*4.72E-3)=13019
b)
at double resonance
Z = sqrt( R^2 + (w L - 1/wC)^2)
= sqrt( 145^2 + (2*13019*4.72E-3 - 1/(2*13019*1.25E-6))^2)
= 171.8 ohms
c) at half of resonance
Z = sqrt( 145^2 + (1/2*13019*4.72E-3 - 1/(1/2*13019*1.25E-6))^2)
= 171.8 ohms
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