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NEET 2002
Exam
NEET
Year
2002
Subject
Physics
Chapter
Capacitance

NEET 2002 · Physics · Capacitance

A capacitor of capacitance C_1 charged up to V volt and then...

A capacitor of capacitance C1C_1 charged up to VV volt and then connected to an uncharged capacitor C2C_2. Then, the final potential difference across each will be:

Options

  1. AC2VC1+C2\frac{C_2 V}{C_1+C_2}
  2. BC1VC1+C2\frac{C_1 V}{C_1+C_2}
  3. C(1+C2C1)V\left(1+\frac{C_2}{C_1}\right) V
  4. D(1−C2C1)V\left(1-\frac{C_2}{C_1}\right) V

Correct answer

B. C1VC1+C2\frac{C_1 V}{C_1+C_2}

Step-by-step solution

Vcomma =C1V1+C2V2C1+C2(\becauseV2=0)⇒Vcomma =C1V1C1+C2\begin{aligned}& V_{\text{comma }}=\frac{C_1 V_1+C_2 V_2}{C_1+C_2}\left(\becauseV_2=0\right) \\ & \Rightarrow V_{\text{comma }}=\frac{C_1 V_1}{C_1+C_2} \end{aligned}
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