• Status: Solved
• Priority: Medium
• Security: Public
• Views: 696

# 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 ??
0
c_hockland
• 3
• 3
• 2
1 Solution

Commented:
( 1/(Cx+C1) + 1/C2) / (1/(Cx+C1))  = 93
0

Commented:
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
0

Author Commented:
the solution i provided is the solution from the solutions manual....i have a feeling that you disagree with the result though...why?
0

Commented:
(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 )
0

Author Commented:
so Ozo , whould i use either solution ? Both look the same
0

Commented:
If Cx and C1 are in parallel, V1 is the voltage accross C1+Cx
0

Author Commented:
(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..
0

Commented:
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: http://www.experts-exchange.com/Miscellaneous/Math_Science/Q_22047554.html#17871687
0
Question has a verified solution.

Are you are experiencing a similar issue? Get a personalized answer when you ask a related question.

Have a better answer? Share it in a comment.