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find capacitance #5

i have capacitors Cx and C1 (in parallel) and then i have capacitor C2 in series with the (Cx and C1). If C1=4.2 and C2=7.3 what must be the capacitance Cx if the ratio V0 / V1 is 93?
V1 is the voltage accross C1.

solution that i tried :

using C1 / C0 = 93

4.2 / { C2 ( C1 + CX ) / ( C1 + CX + C2 ) } = 93

{ C2 ( C1 + CX ) / ( C1 + CX + C2 ) } = 4.2 / 93

substitute the values of C1 and C2 to get CX
is it correct ??

ozo

( 1/(Cx+C1) + 1/C2) / (1/(Cx+C1)) = 93
Didn't you alrady ask this in http:/Q_22047554.html

JR2003

The sum of the charges on the two parallel capacitors (Cx +C1) is the same as the charge on C2
Q = CV
so you can work out the capacitance of Cx
The voltages V1 + V2 = V0

c_hockland

ASKER

the solution i provided is the solution from the solutions manual....i have a feeling that you disagree with the result though...why?

ozo

(Cx and C1) im parallel have capacitance Cx+C1

(Cx+C1) in series with C2 have capacitance
1/( 1/(Cx+C1) + 1/C2) ) = C2 ( C1 + CX ) / ( C1 + CX + C2 )

c_hockland

ASKER

so Ozo , whould i use either solution ? Both look the same

ASKER CERTIFIED SOLUTION

ozo

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c_hockland

ASKER

(Cx and C1) im parallel have capacitance Cx+C1

(Cx+C1) in series with C2 have capacitance
1/( 1/(Cx+C1) + 1/C2) ) = C2 ( C1 + CX ) / ( C1 + CX + C2 )

so i will go ahead and plug the values ,,,and that should be it then..

JR2003

If you solve ozo's: ( 1/(Cx+C1) + 1/C2) / (1/(Cx+C1)) = 93
you still get Cx = 667.4 F as you did in: https://www.experts-exchange.com/questions/22047554/Caclulate-capacitance.html#17871687