1. Jun 28, 2011

### CR9

1. The problem statement, all variables and given/known data
Find the relationship between C and C1 to make C equivalent= C

The diagram is as shown below:-
Code (Text):

C1
A---------------------------||----
|                |
=C1            = C
|                |
B---------------------------------

2. Relevant equations
C parallel= C1 + C2 + C3......
1/C series= 1/C1 + 1/C2 + 1/C3

3. The attempt at a solution

So on the right most of the diagram, C1 and C are in series, hence their combined capacitor is C1(C)/C1+C. And since the combined capacitor is in parallel with the other C1, C equivalent is C1(C)/C1+C + C1 = C

However, I can't seem to solve that particular equation by making C as the subject....

The answer provided by the textbook is:
C=C1 (1+ square root of 5) / 2

Thanks...

Last edited by a moderator: Jun 29, 2011
2. Jun 28, 2011

### CR9

I guess my diagram is messed up even though i tried to fixed it, but yeah,

C1 is in series with C

and those two combined are in parallel with C1.....

3. Jun 29, 2011