Electrostatic Potential and Capacitance - Result Question 31

33. A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it, as the first combination has. The value of C2, in terms of C1, is then

[2010]

(a) 2C1n1n2

(b) 16n2n1C1

(c) 2n2n1C1

(d) 16C1n1n2

Show Answer

Answer:

Correct Answer: 33. (d)

Solution:

  1. (d) In series, Ceff=C1n1

Energy stored,

ES=12CefVSVS2=12C1n116V2

=8V2C1n1

In parallel, Ceff=n2C2 Energy stored, Ep=12n2C2V2

According to question Es=Ep

8V2C1n1=12n2C2V2

C2=16C1n1n2



NCERT Chapter Video Solution

Dual Pane