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AIIMS 2010
Exam
AIIMS
Year
2010
Subject
Physics
Chapter
Capacitance

AIIMS 2010 · Physics · Capacitance

What would be the voltage across C_3 ?

 What would be the voltage across \text{ What would be the voltage across }C_3  ? \text{ ? }What would be the voltage across C_3 ?

Options

  1. A(C1+C2)VC1+C2+C3\frac{\left(C_1+C_2\right) V}{C_1+C_2+C_3}
  2. BC1VC1+C2+C3\frac{C_1 V}{C_1+C_2+C_3}
  3. CC2VC2+C2+C3\frac{C_2 V}{C_2+C_2+C_3}
  4. DC3VC1+C2+C3\frac{C_3 V}{C_1+C_2+C_3}

Correct answer

A. (C1+C2)VC1+C2+C3\frac{\left(C_1+C_2\right) V}{C_1+C_2+C_3}

Step-by-step solution

Capacitors C1andC2C_1 and C_2 are in parallel, their equivalent capacitance is in series with capacitor C3C_3. Hence, the equivalent capacitance of the given circuit is C_{e q}=(C1+C2)C3C1+C2+C3\frac{\left(C_1+C_2\right) C_3}{C_1+C_2+C_3}Charge on capacitor C3C_3 is Q=VCeq=V(C1+C2)C3C1+C2+C3\begin{aligned}Q & =V C_{\mathrm{eq}} \\ & =\frac{V\left(C_1+C_2\right) C_3}{C_1+C_2+C_3} \end{aligned}Voltage across C3C_3 is =QC3=V(C1+C2)C1+C2+C3\frac{Q}{C_3}=\frac{V\left(C_1+C_2\right)}{C_1+C_2+C_3}
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