MHT CET 2018 Physics Solved Paper

(a) N1 number of cap acitors each of capacity, C1 charged to potential difference, 3V are in series.
∴ Ceq=

C1

N1

; V = 3 V
E =

1

2

CV2 =

1

2

C1

N1

9V2
N2 number of capacitors eachof capacity,
C2 charged to potential difference, V are in parallel,
∴ Ceq=N2C2 ; V=V
E =

1

2

CV2=

1

2

C2N2V2
From question, total energy stored in both the combination is same.
∴

9

2

C1

N1

V2=

C2N2V2

2

⇒C1=C2

N2N1

9