Verified Solution • 2025–26 Session moderate

QPages 306-313: Q98: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 306-313: Q98 Solution: The current in a long solenoid of radius R and having n turns…

The current in a long solenoid of radius R and having n turns per unit length is given by i=i0sin⁡ωti = i_0 \sin \omega t. A coil having N turns is wound around it near the centre. Find a) the induced emf in the coil and b) the mutual inductance between the solenoid and the coil.

Step-by-Step Verified Solution

**Answer:** (a) E = __nNi__�R_cos(_t) (b) M = __nN�R_. **Step-by-Step Explanation:** The field inside the solenoid is B = __ni = __ni_sin(_t). The flux through the coil is _ = N _ B _ �R_. E = -d_/dt. M = _/i [citation:4].

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