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Home Q & A Board Science-Related Homework Help Physics
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12 years ago
Calculate the value of capacitor for the circuit to have a resonant frequency of 10khz. Determine the voltage across the capacitor, the inductor, and the resistor, at resonance.    Also the characteristics for the circuit is: 10voltage supply, 500ohm resistor, 10milliHenry inductor, and an UNKNOWN CAPACITOR...The resistor, inductor, and capacitor are in series.  If you can show work it would be better thanks!!
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wrote...
#1
12 years ago
0.00159  f
wrote...
#2
12 years ago
you know that resonance occure when XC = XL

XC = 1 / ( 2 * pi * f * C )
XL = 2 * pi * f * L
where pi = 3.14
so
1 / ( 2 * pi * f * C ) = 2 * pi * f * L

rearrange the the formula

( 2 * pi * f ) ^6 = 1 / ( L * C )

so

C = 1 / (L * ( 2 * pi * f ) ^2)

C = 1 ( 0.01 * ( 2 * 3.14 * 10000)^2)

C = 1 / ( 39478417) F

Do this last step with your calculater I dont have one right now

hope I helped you
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