A circular coil of radius 8 . 0cm and 20 turns is rotated about its...

A circular coil of radius

8 . 0cm

and

20

turns is rotated about its vertical diameter with an angular speed of

50rad{s}^{- 1}

in a uniform horizontal magnetic field of

3 . 0 \times {10}^{- 2}T

. The maximum emf induced in the coil will be _______

\times {10}^{- 2}

volt (rounded off to the nearest integer).

Correct answer

Step-by-step solution

Emf = B\omega NAsin\omegat $</p><p>$ {Emf}_\max = B \omega NA = B \omega N\left({\pi R}^{2}\right) $</p><p>$ = \left(3 \times {10}^{- 2}\right) \times \left(50\right) \times \left(20\right) \times \left(\pi \times \dfrac{64}{{10}^{4}}\right) \approx 60 \times {10}^{- 2}V

Practice Electromagnetic Induction on Quantrex Academy →

More from Electromagnetic Induction

List-I contains four conducting loops lying in the XY plane, as shown in the figures. The… JEE Advanced 2026 A 30 cm long solenoid has 10 turns per cm and area of 5 cm ^2 . The current through the… JEE Main 2026 A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B… JEE Main 2026 An inductor of inductance 10 mH having resistance of 100\,Ω is connected to battery of… JEE Main 2026 A metal rod of length L rotates about one end at origin with a uniform angular velocity ω… JEE Main 2026 A circular loop of radius 20 cm and resistance 2\ Ω is placed in a time varying magnetic… JEE Main 2026 In the given circuit below inductance values of L_1 , L_2 and L_3 are same. The magnetic… JEE Main 2026 A circular current loop of radius R is placed inside square loop of side length L (L >>… JEE Main 2026 Full Electromagnetic Induction list All JEE Main PYQs