Hey guys, it's the question of class 12, physics,
Find the equivalent capacitance between A and B in the following network.
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1/Req. = 136/120
So equivalent capacitance = 120/136 = Req. = 15/17
I have assumed Capacitors as "R" .
Plases don't get confused and estimate it as Resistance.
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Answer:
Equivalent capacitance is 60/61 F.
Explanation:
Let us connect a potential difference across A and B.
Observe the provided picture and labelling of the capacitors,
When current crosses first 3 F capacitor at A, current splits in two.
So capacitors 2, 3, 4 are in series.
Let equivalent capacitance of 2,3,4 be C₁ then.
1/C₁ =1/3 + 1/2 + 1/3
1/C₁ = 2/3 + 1/2
1/C₁ = 7/6
C₁ = 6/7 F
This is parallel to capacitor number 5.
Let C₂ be equivalent resistance of capacitor number 5 and C₁
C₂ = 6/7 + 2
C₂ = 20/7 F.
Now capacitor 1, 6 and C₂ are in series. Let their equivalent capacitance be C.
Therefore 1/C = 1/3 + 1/3 + 7/20
1/C = 2/3 + 7/20
1/C = 40+21/60
C = 60/61 F.
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