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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 , a capacitance C , a resistance R , and an emf E are...

At

t = 0

, a capacitance

C

, a resistance

R

, and an emf

\mathcal{E}

are connected in series. Determine the maximum value of the current in the circuit.

Options

A $\dfrac{2\mathcal{E}}{R}$
B $\dfrac{\mathcal{E}}{2R}$
C $\dfrac{\mathcal{E}}{R}$
DZero

Correct answer

C. $\dfrac{\mathcal{E}}{R}$

Step-by-step solution

At

t = 0

, the capacitor is uncharged and acts as a short circuit.

The equation for the current in an RC series circuit during charging is given by

I = \dfrac{\mathcal{E}}{R} e^{-t / RC}

.

The maximum value of the current occurs at

t = 0

.

Substituting

t = 0

, we get

I_\max = \dfrac{\mathcal{E}}{R}

.

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