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AP EAMCET · PHYSICS · Electromagnetic Induction

A circular loop of wire of radius \(14 \mathrm{~cm}\) is placed in magnetic field directed perpendicular to the plane of the loop. If the field decreases at a steady rate of \(0.05 \mathrm{Ts}^{-1}\) in some interval, then the magnitude of the emf induced in the loop is

  1. A \(2.08 \mathrm{mV}\)
  2. B \(3.08 \mathrm{mV}\)
  3. C \(2.16 \mathrm{mV}\)
  4. D \(3.24 \mathrm{mV}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(3.08 \mathrm{mV}\)

Step-by-step Solution

Detailed explanation

Given, Radius of circular loop of wire, \(r=14 \mathrm{~cm}=0.14 \mathrm{~m}\) Rate of change of magnetic field with respect to time, \(\frac{d B}{d t}=0.05 \mathrm{Ts}^{-1}\) According to Faraday law of electromagnetic induction, induced emf, \(|e|=\frac{d \phi}{d t}\)…