Photo of the circuit:
http://www.flickr.com/photos/84534314@N06/7742877114/in/photostream/lightbox/
A.What is the value of the inductance L so that the above circuit carries the largest current?
Data: R = 2.39×102 Ω, f = 1.63×103 Hz, C = 6.10×10-3 F, Vrms = 9.79×101 V.
B.Using the inductance found in the previous problem, what is the impedance seen by the voltage source?
http://www.flickr.com/photos/84534314@N06/7742877114/in/photostream/lightbox/
A.What is the value of the inductance L so that the above circuit carries the largest current?
Data: R = 2.39×102 Ω, f = 1.63×103 Hz, C = 6.10×10-3 F, Vrms = 9.79×101 V.
B.Using the inductance found in the previous problem, what is the impedance seen by the voltage source?
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A. The largest current occurs at the natural resonance frequency of the circuit
omega=1/sqrt(L*C) where f=omega/(2*pi) or omega=2*pi*f=10242 rad/sec
solving for L = 1/(C*(omega)^2)= 1.563E-6 H
B. Z = R+jwL+1/jwC
Z = 2.39E2 +j(wL-1/wC) = 2.39E2 Ohm
since wL=1/wC (it is at resonance frequency hence there is no imaginary component)
omega=1/sqrt(L*C) where f=omega/(2*pi) or omega=2*pi*f=10242 rad/sec
solving for L = 1/(C*(omega)^2)= 1.563E-6 H
B. Z = R+jwL+1/jwC
Z = 2.39E2 +j(wL-1/wC) = 2.39E2 Ohm
since wL=1/wC (it is at resonance frequency hence there is no imaginary component)