Please Need the answers like the bottom question. A single loop of wire of radiu

Question

Please Need the answers like the bottom question.

A single loop of wire of radius 3 cm carries a current of 2.6 A. What is the magnitude of B on the axis of the loop at the following positions? (a) the center of the loop T (b) 1 cm from the center T (c) 2 cm from the center T (d) 39 cm from the center T A single loop of wire of radius 3 cm carries a current of 2.4 A. What is the magnitude of B on the axis of the loop at the following positions? (a) the center of the loop T (b) 1 cm from the center T (c) 2 cm from the center T (d) 36 cm from the center T

Explanation / Answer

Given

Radius of the loop r = 3 cm = 0.03 m

Current flowing I = 2.6 A

Solution

Magnetic field along the axis of a circular ring

B = µoIr2/2(x2+r2)3/2

1)
at the center x = 0 m

B = µoIr2/2(x2+r2)3/2

B = 4 x 10-7x 2.6 x 0.032 /2 ( 0 + 0.032)3/2

B = 5.44 x 10-5 T

so

B = 5.44e-05 T

2)

at x = 1 cm = 0.01 m

B = µoIr2/2(x2+r2)3/2

B = 4 x 10-7x 2.6 x 0.032 /2 ( 0.012 + 0.032)3/2

B = 4.65 x 10-5 T

so

B = 4.65e-05 T

3)

at x = 2 cm = 0.02 m

B = µoIr2/2(x2+r2)3/2

B = 4 x 10-7x 2.6 x 0.032 /2 ( 0.022 + 0.032)3/2

B = 3.14 x 10-5 T

so

B = 3.14e-05 T

4)

at x = 39 cm = 0.39 m

B = µoIr2/2(x2+r2)3/2

B = 4 x 10-7x 2.6 x 0.032 /2 ( 0.392 + 0.032)3/2

B = 2.46 x 10-8 T

so

B = 2.46e-08 T

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