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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Electric Current in Conductors

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Current in Conductors

At t = 0 , the plates of a capacitor of capacitance 10 ext ,...

At t=0t = 0, the plates of a capacitor of capacitance 10extμF10 ext{ }\mu\text{F}, charged to 60extμC60 ext{ }\mu\text{C}, are connected together by a wire having a resistance of 10extΩ10 ext{ }\Omega. Determine the charge on the capacitor in the circuit at t=0t = 0.

Options

  1. A60extμC60 ext{ }\mu\text{C}
  2. B30extμC30 ext{ }\mu\text{C}
  3. C120extμC120 ext{ }\mu\text{C}
  4. D0extμC0 ext{ }\mu\text{C}

Correct answer

A. 60extμC60 ext{ }\mu\text{C}

Step-by-step solution

The charge on a discharging capacitor at any time tt is given by the equation q(t)=q0e−t/RCq(t) = q_0 e^{-t/RC}.

Given the initial charge on the capacitor is q0=60μCq_0 = 60 \mu\text{C}.

Substituting t=0t = 0 in the equation, we get:

q(0)=60×e0=60μCq(0) = 60 \times e^0 = 60 \mu\text{C}

Thus, the charge on the capacitor at the instant the connection is made (t=0t = 0) remains equal to its initial charge, which is 60μC60 \mu\text{C}.
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