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JIPMER 2010
Exam
JIPMER
Year
2010
Subject
Physics
Chapter
Current Electricity

JIPMER 2010 · Physics · Current Electricity

A capacitor of capacitance 5 μ F is connected as shown in the...

A capacitor of capacitance 5μF5 \mu \mathrm{F} is connected as shown in the figure. The internal resistance of the cell is 0.5Ω0.5 \Omega. The amount of charge on the capacitor plates is A capacitor of capacitance 5 μ F is connected as shown in the figure. The internal resistance of the cell is 0.5 . The

Options

  1. A80μC80 \mu \mathrm{C}
  2. B40μC40 \mu \mathrm{C}
  3. C20μC20 \mu \mathrm{C}
  4. D10μC10 \mu \mathrm{C}

Correct answer

D. 10μC10 \mu \mathrm{C}

Step-by-step solution

In steady state, there will be no current in the capacitor branch. Net resistance of the circuit R=1+1+0.5=2.5ΩR=1+1+0.5=2.5 \Omega Current drawn from the cell, i=VR=2.52.5=1 Ai=\frac{V}{R}=\frac{2.5}{2.5}=1 \mathrm{~A} Potential drop across two parallel branches V=E−ir=2.5−1×0.5=2.5−0.5=2.0 V\begin{aligned} V=E-i r & =2.5-1 \times 0.5 \\ & =2.5-0.5 \\ & =2.0 \mathrm{~V} \end{aligned} So, charge on the capacitor plates q=CV=5×2=10μC\begin{aligned} q=C V & =5 \times 2 \\ & =10 \mu \mathrm{C} \end{aligned}
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