MHT CET 2022 Physics question

PhysicsMoving Charges and MagnetismMHT CET 2022

A long solenoid has 200 turns per cm and carried a current i. The magnetic field at its center is . Another long solenoid has 100 turns per cm and it carries a current . The value of magnetic field at its center is nearly

Answer: (C)

Solution

The field inside a long solenoid is , so . For the second solenoid the turns per unit length are halved ( vs per cm) and the current is one-third: . Therefore $ =

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Question ID VK-093949