Question:

Consider an LC circuit, with inductance $L =01 H$ and capacitance $C=10^{-3} F$, kept on a plane The area of the circuit is $1 \,m ^2$ It is placed in a constant magnetic field of strength $B_0$ which is perpendicular to the plane of the circuit At time $t=0$, the magnetic field strength starts increasing linearly as $B=B_0+\beta t$ with $\beta=004\, Ts ^{-1}$ The maximum magnitude of the current in the circuit is ___$ m A$

Updated On: Feb 18, 2024
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Solution and Explanation

Answer: 4
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Concepts Used:

Electromagnetic Induction

Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-

  1. When we place the conductor in a changing magnetic field.
  2. When the conductor constantly moves in a stationary field.

Formula:

The electromagnetic induction is mathematically represented as:-

e=N × d∅.dt

Where

  • e = induced voltage
  • N = number of turns in the coil
  • Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
  • t = time

Applications of Electromagnetic Induction

  1. Electromagnetic induction in AC generator
  2. Electrical Transformers
  3. Magnetic Flow Meter