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Electrostatic Potential and Capacitance

  1. A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4 V. 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​​​
    1. 2C1
      n1n2
    2. 16
      n2
      C1
      n1
    3. 2
      n2
      C1
      n1
    4. 16C1
      n1n2
Correct Option: D

​In series, Ceff =
C1
n1

∴ Energy stored, Es =
1
Ceff C2² =
1
C1
16V²
22n1

= 8V²
C1
n1

​In parallel, Ceff = n2 C2 ​ ​
Energy stored, Ep =
2
n2C2
2

8V²C1
=
1
= n2C2
n12

⇒ C2 =
16C1
n1n2



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