Question

When the current through a circular loop is 5.7 A, the magnetic field at its center is 3.9 ✕ 10−4 T. What is the radius (in m) of the loop?

Answer 1

Radius of the circular loop is 0.0091m.

What is magnetic field?

Magnetic field is the area around a magnet where the magnetism influence is felt .

What is the magnetic field at the centre of a circular loop?

• The formula for magnetic field at the centre of a loop is

B =(μ)I/2r

• where B= Magnetic field at the centre of a circular loop

μ= Magnetic permeability =4(π)*10^(-7)

I= current flowing through the loop

r= radius of the loop

• Thus, radius of the loop =(4(π)×10^(-7)×5.7)/(2×3.9×10^(-4))

=0.0091m

Thus, we can conclude that the radius of the loop is 0.0091m .

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