Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2017
Exam
BITSAT
Year
2017
Subject
Physics
Chapter
Electromagnetic Induction

BITSAT 2017 · Physics · Electromagnetic Induction

A conducting circular loop is placed in a uniform magnetic field, B...

A conducting circular loop is placed in a uniform magnetic field, B=0.025TB = 0. 025T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1mms−11mms^{- 1}. The induced emf when the radius is 22 cm, is

Options

  1. A2πμV2\pi\mu V
  2. BπμV\pi\mu V
  3. Cπ2μV\dfrac{\pi}{2}\mu V
  4. D2μV2\mu V

Correct answer

B. πμV\pi\mu V

Step-by-step solution

Here, magnetic field,B=0.025TB = 0. 025T

∴∴ Magnetic flux ϕ=B⋅A=B⋅\pir2ϕ = B \cdot A = B \cdot \pir^{2}

Induced emf∣e∣=dϕdtemf\left|e\right| = \dfrac{dϕ}{dt}

=Bπ2r⋅drdt= B\pi2r \cdot \dfrac{dr}{dt}

=0.025×π×2×2×10−2×1×10−3= 0. 025 \times \pi \times 2 \times 2 \times {10}^{- 2} \times 1 \times {10}^{- 3}

=π×10−6V= \pi \times {10}^{- 6}V

=πμV= \pi\mu V

Practice Electromagnetic Induction on Quantrex Academy →

More from Electromagnetic Induction

Inside a solenoid of radius 0.5 m , magnetic field is changing at a rate of 50 × 10^ -6 T… BITSAT 2024There are two long co-axial solenoids of same length l . The inner and outer coils have… BITSAT 2024A rectangular loop of length 2.5 m and width 2 m is placed at 60^ ^ ∘ to a magnetic field… BITSAT 2024A 12 V battery connected to a coil of resistance 6 Ω through a switch, drives a constant… BITSAT 2023In an LC oscillator, if values of inductance and capacitance become twice and eight… BITSAT 2023A conducting loop of radius 10 π cm is placed perpendicular to a uniform magnetic field… BITSAT 2023A metal disc of radius 100 cm is rotated at a constant angular speed of 60 rad / s in a… BITSAT 2021A conducting square loop of side L and resistance R moves in its plane with a uniform… BITSAT 2020 Full Electromagnetic Induction list All BITSAT PYQs