If ' N ' is the number of turns in a circular coil, the value of its self-inductance varies as

Step-by-step solution

The correct option is (C) Concept: The flux associated with the loop is = BA and the coefficient of self-inductance L is defined as L = I , where the I is the current flowing through the coil. The magnetic magnetic field B at the center of a coil carrying current i , with radius r is given by, B= ₀ I 2 r So for a coil with n no. of turns: B _ N = N ( ₀ I 2 r ) The self flux associated with one coil is : 1= B _ N A Now, the self flux associated with coil of N turns is: N = N ₁ Therefore, N=N N ( ₀ I 2 r ) A ₁ Now us