Question

What is the magnetic field at the center of a circular loop of wire of radius 4.0 cm when a current of 2.0 A flows in the wire

Answer 1

3.14×10^-5 Tesla

Step-by-step explanation:

The formula for calculating the magnetic field at the center of the loop is expressed as;

B = Iμ0/2r

I is the current = 2.0A

r is the wire radius = 4cm = 0.04m

μ0 is the permittivity of free space = 4π×10^-7

Substitute the given parameters into the formula;

B = 2×4π×10^-7/2(0.04)

B = 8π×10^-7/0.08

B = 8π×10^-7/8×10^-2

B = π×10^{-7+2}

B = π×10^-5

Since π = 3.14

B = 3.14×10^-5 Tesla

Hence the magnetic field at the center of a circular loop of wire of radius 4.0 cm when a current of 2.0 A flows in the wire is 3.14×10^-5 Tesla.