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JEE Main 20208 JanuaryMorning Shift
Exam
JEE Main
Year
2020
Date
8 January
Shift
Morning Shift
Subject
Physics
Chapter
Electromagnetic Induction

JEE Main 2020 · 8 January · Morning Shift · Physics · Electromagnetic Induction

At time t = 0 magnetic field of 1000Gauss is passing...

At time t=0t = 0 magnetic field of 1000Gauss1000Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to 500Gauss,500Gauss, in the next 5s,5s, then induced EMFEMF in the loop is:
At time t = 0 magnetic field of 1000Gauss is passing perpendicularly through the area defined by the closed loop shown

Options

  1. A56\muV56\muV
  2. B28\muV28\muV
  3. C48\muV48\muV
  4. D36\muV36\muV

Correct answer

A. 56\muV56\muV

Step-by-step solution

ε=∣−dϕdt∣=∣−AdBdt∣ε = \left|- \dfrac{dϕ}{dt}\right| = \left|- \dfrac{AdB}{dt}\right|
ε=∣−Δϕ\Deltat∣=∣A\DeltaB\Deltat∣ε = \left|- \dfrac{\Deltaϕ}{\Deltat}\right| = \left|\dfrac{A\DeltaB}{\Deltat}\right|
=(16×4−4×2)(1000−500)5×10−4×10−4= \left(16 \times 4 - 4 \times 2\right)\dfrac{\left(1000 - 500\right)}{5} \times {10}^{- 4} \times {10}^{- 4}
=56×5005×10−8=56×10−6V= 56 \times \dfrac{500}{5} \times {10}^{- 8} = 56 \times {10}^{- 6}V
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