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BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Physics
Chapter
Electromagnetic Induction

BITSAT 2023 · Paper 2 · Physics · Electromagnetic Induction

A 12 V battery connected to a coil of resistance 6 through a...

A 12V12 \mathrm{ V} battery connected to a coil of resistance 6Ω6 \Omega through a switch, drives a constant current in the circuit. The switch is opened in 1ms1 \mathrm{ ms}. The emf induced across the coil is 20V20 \mathrm{ V}. The inductance of the coil is :

Options

  1. A5mH5 \mathrm{mH}
  2. B12mH12 \mathrm{mH}
  3. C8mH8 \mathrm{mH}
  4. D10mH10 \mathrm{mH}

Correct answer

D. 10mH10 \mathrm{mH}

Step-by-step solution

Induced emf, ε=−LdIdt⇒20=−L(0−2)10−3\varepsilon=-\mathrm{L} \frac{\mathrm{dI}}{\mathrm{dt}} \Rightarrow 20=-\mathrm{L} \frac{(0-2)}{10^{-3}} Hence, inductance of the coil.
L=10mH\mathrm{L}=10 \mathrm{mH}
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