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JEE Main 202311 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2023 · 11 April · Morning Shift · Physics · Magnetic Properties of Matter

The free space inside a current carrying toroid is filled with a...

The free space inside a current carrying toroid is filled with a material of susceptibility 2×10−22 \times {10}^{- 2}. The percentage increase in the value of magnetic field inside the toroid will be

Options

  1. A0.20 . 2 %
  2. B0.10 . 1 %
  3. C22 %
  4. D11 %

Correct answer

C. 22 %

Step-by-step solution

It is given that

χm=2×10−2{χ}_{m} = 2 \times {10}^{- 2}

The permeability is μr=1+χm=1+0.02=1.02{\mu}_{r} = 1 + {χ}_{m} = 1 + 0 . 02 = 1 . 02.

The magnetic field is B=μrB0=1.02B0B = {\mu}_{r}{B}_{0} = 1 . 02{B}_{0}

Hence, percentage increase in magnetic field is

B−B0B0×100\dfrac{B - {B}_{0}}{{B}_{0}} \times 100 % = \dfrac{{B}_{0}\left(1 . 02 - 1\right)}{{B}_{0}} \times 100 % = 2 %

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