A closely wounded circular coil of radius 5 cm produces a magnetic field of 37 . 68 × 10 - 4 T at its center. The current through the coil is _____ A . [Given, number of turns in the coil is 100 and π = 3 . 14 ]

Step-by-step solution

Given here, N = 100 , R = 5   cm and B = 37 . 68 × 10 - 4   T Magnetic field at the centre of circular coil is given by B centre   = N μ 0 l 2 R . Putting the values, 37 . 68 × 10 - 4 = 100 × 4 π × 10 - 7 × I 2 × 5 × 10 - 2 Current through coil is I = 3   A .