Question

A circular loop of wire with 15 turns, radius 0.129 m and resistance 0.251 Ohms is connected to a 16.7 V power supply. The magnetic field at the center of this loop is...?

Answer 1

The magnetic field at the center of the circular loop is 3.24 x 10⁻⁴ T.

Current in the wire

The current in the wire is calculated as follows;

V = IR

I = V/R

I = 16.7/0.251

I = 66.53 A

Magnetic field at the center of the loop

The magnetic field at the center of the circular loop is calculated as follows;

$B = \frac{\mu_0 I}{2R} \\\\B = \frac{4\pi \times 10^{-7} \times66.53 }{2\times 0.129} \\\\B = 3.24 \times 10^{-4} \ T$

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