1. Tardigrade
  2. Question
  3. Physics
  4. In a coil of area 10cm2 and 10 turns, magnetic field is directed perpendicular to the plane and is changing at a rate of 104Ts- 1 . The resistance of the coil is 20 Ω . The current in the coil will be

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. In a coil of area $10cm^{2}$ and $10$ turns, magnetic field is directed perpendicular to the plane and is changing at a rate of $10^{4}Ts^{- 1}$ . The resistance of the coil is $20 \, \Omega$ . The current in the coil will be

NTA AbhyasNTA Abhyas 2022

Solution:

Induced current is,
$i=\frac{1}{R}\left(N \frac{dϕ}{dt}\right)=\frac{1}{R}\left(NA \frac{dB}{dt}\right)$
$i=\frac{1}{20}\left(10\right) \, \left(10 \times \left(10\right)^{- 4}\right)\left(\left(10\right)^{4}\right)=5 \, A$
$i=5A$