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Effective capacitance if each capacitors 1microfarad between P and Q?

Effective capacitance if each capacitors 1microfarad between P and Q?

Question Image
Grade:12

1 Answers

DR STRANGE
212 Points
3 years ago
Hi Vini,
 
First, observe the square
adjacent sides are in series!
So 1/Ceq = 1/C+ 1/C2
1/Ceq =1/1 +1/1
1/Ceq =2
Ceq = ½
same for another pair of adjacent sides Ceq = ½
Now this two Ceq and diagonal of the square are in parallel
you can just add them, so for the whole square Ceq = 1 + ½ + ½  = 2
Now two more capacitors are remaining, one from point P and one from point Q
the square (i.e. Ceq ) and this two capacitors are in series, 
1/Ceq = 1/Ceq  + 1/1 + 1/1 =  ½  + 1/1 +1/1 = 5/2
1/Ceq = 5/2
Ceq =2/5 microfarad.....The effective capacitance between P and Q
let me know if you understood by approving :)
 
 
 

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