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Electricity and Magnetism

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Magnetic Field Above the Center of a Semicircle of Current

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Figure 1 depicts a field point a distance $h = 4.63 \text{ mm}$ above the center of a semicircle of current of radius $R = 6.52 \text{ mm}$.

Figure 1. Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.

Figure 2 shows a side view of the same semicircular current loop.

Figure 2. Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.

The current running through the circular wire is $I = 3.65 \text{ A}$.

What is the magnitude of the magnetic field at the field point $P$?

A

$B =9.53 \times 10^{-5} \ \mu\text{T}$

B

$B =6.77 \times 10^{-5} \ \mu\text{T}$

C

$B =1.05 \times 10^{-4} \ \mu\text{T}$

D

$B =1.17 \times 10^{-4} \ \mu\text{T}$