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CBSE Class 12 Physics 2017 Delhi Set 1 Paper

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Question : 17 of 26
Marks: +1, -0
(i) Find equivalent capacitance between A and B in the combination given below. Each capacitor is of 2ยตF capacitance.

(ii) If a dc source of 7V is connected across AB, how much charge is drawn from the source and what is energy stored in the network?
Solution:  
(i) Calculation of equivalent capacitance
(ii) Calculation of charge and energy stored
(i) Capacitors C2,C3 and C4 are in parallel
โˆดโ€ŒC234=C2+C3+C4
โˆดโ€ŒC234=6ยตF
Capacitors C1,C234 and C5 are in series
โ€Œ
1
Ceq
=โ€Œ
1
C1
+โ€Œ
1
C234
+โ€Œ
1
C5
=โ€Œ
1
2
+โ€Œ
1
6
+โ€Œ
1
2

โ€Œ=โ€Œ
7
6
ยต
F

Ceqโ€Œ=โ€Œ
6
7
ยต
F

(ii) Charge drawn from the source
Qโ€Œ=CeqV,
โ€Œ=โ€Œ
6
7
ร—7ยตC
=6ยตC

Energy stored
Uโ€Œ=โ€Œ
Q2
2C

โ€Œ=โ€Œ
6ร—6ร—10โˆ’12ร—7
2ร—6ร—10โˆ’6
=21ยตJ
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