Question:

A square frame of side 10 cm and a long straight wire carrying current 1 A are in the plane of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of 10 ms (see figure). The e.m.f induced at the time the left arm of the frame is at x = 10 cm from the wire is :

Updated On: Sep 27, 2024
  • $2\, \mu V$
  • $1 \,\mu V$
  • $0.75 \,\mu V$
  • $0.5 \,\mu V$
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The Correct Option is B

Solution and Explanation

In given $fig _{ x }=15$ because left arm of the frame is at $10 cm$ from the wire. and $a = 1 0 cm$. emf in
$A D \Longrightarrow e _{1} \Longrightarrow \frac{ a \mu_{ o } iv }{2 \pi( x - a / 2)}$
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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