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JEE Main 201419 AprilOnline
Exam
JEE Main
Year
2014
Date
19 April
Mode
Online
Subject
Physics
Chapter
Electromagnetic Induction

JEE Main 2014 · 19 April · Online · Physics · Electromagnetic Induction

The figure shows a circular area of tthe radius R where a uniform...

The figure shows a circular area of tthe radius R where a uniform magnetic field → B is going into the plane of the

The figure shows a circular area of tthe radius RR where a uniform magnetic field B→\overset{\to}{B} is going into the plane of the paper and increasing in magnitude at a constant rate. In that case, which of the following graphs, drawn schematically, correctly shows the variation of the induced electric field E(r)E ( r )?

Options

  1. AWhat are flowers the sites of according to the paragraph?
  2. BWhat are flowers the sites of according to the paragraph?
  3. CWhat are flowers the sites of according to the paragraph?
  4. DWhat are flowers the sites of according to the paragraph?

Correct answer

A. What are flowers the sites of according to the paragraph?

Step-by-step solution

E=dϕdt=AdBdtE = \dfrac{dϕ}{dt} = A\dfrac{dB}{dt}

for

r<Rr < R, E(2\pir)=πr2dBdt⇒E\alpharE\left(2\pir\right) = \pi{r}^{2}\dfrac{dB}{dt} ⇒ E\alphar

for

r>Rr > R, E(2\pir)=πR2dBdt⇒Eα1rE\left(2\pir\right) = \pi{R}^{2}\dfrac{dB}{dt} ⇒ E\alpha\dfrac{1}{r}

The figure shows a circular area of tthe radius R where a uniform magnetic field → B is going into the plane of the

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