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August 30, 2014

August 30, 2014

Posted by **Heather** on Monday, April 9, 2012 at 7:08pm.

I dont really know how to do the calculations for this one since I know in a parallel one all of them will have the same voltage I had to calculate Vr for a series rlc cricuit and I used the voltage divider rule.

Vr=vs*R/sqrt(R^2+Xt^2)

where

Xt=Xl-Xc

xt=wL-(1/wc)

and calculated resonant frequency using:

fr=1/(2*pi*sqrt(LC))

I used the same equation for fr for the series parallel one. How can the voltage vr be calculated for the series parallel circuit? Can the same method be used?

When calculating bandwidth and quality factor will the series be considered parallel?

- Circuits -
**Henry**, Wednesday, April 11, 2012 at 7:47pmF = 1000 Hz.

L = 0.200H.

C = 4.7 nF = 4.7*10^-9 Farads.

R = 5.1 k Ohms.

Xl = 2pi*F*L = 6.28*1000*0.20 = 1,256 Ohms.

Xc = 1/(2pi*F*C).

Xc = 1/(6.28*1000*4.7*10^-9) = 33,880 Ohms.

Z = Xl*Xc/(Xl+Xc).

Z=(1256*-33,880)/(1256-33880)=1304.4

Ohms = Impedance of parallel circuit.

Zt = R + jX.

Zt=5100 + j1304.4=5264.2 Ohms @14.35 Deg. = Total impedance.

I = E/Zt = 5 / 5264.2=9.5*10^-4 Amps.

Vr = I*R=9.5*10^-4 * 5100=4.85 Volts

Repeat the procedure for all required frequencies.

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