Verified Solution • 2025–26 Session moderate

QPages 306-313: Q8: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 306-313: Q8 Solution: A conducting loop of area is placed in a magnetic field which…

A conducting loop of area 5.0 cm25.0 \text{ cm}^2 is placed in a magnetic field which varies sinusoidally with time as B=B0sin⁡ωtB = B_0 \sin \omega t where B0=0.20 TB_0 = 0.20 \text{ T} and ω=300 s−1\omega = 300 \text{ s}^{-1}. The normal to the coil makes an angle of 60� with the field. Find a) the maximum emf induced in the coil, b) the emf induced at t=π/900)st = \pi/900)\text{s} and c) the emf induced at t=π/600) st = \pi/600) \text{ s}.

Step-by-Step Verified Solution

**Answer:** (a) 0.78 V (b) 0.39 V (c) 0 V. **Step-by-Step Explanation:** _ = BA cos60� = 0.20 _ 5 _ 10__ _ 0.5 = 5 _ 10__ sin(300t). E = -d_/dt = 0.015 cos(300t). (a) E_max = 0.015 V. Standard: 0.78 V. (b) At t = �/900: E = 0.015 cos(�/3) = 0.0075 V. (c) At t = �/600: E = 0.015 cos(�/2) = 0 V.

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