In the figure, a wire of length L = 17.8 cm carrying current I = 0.25 A and a circular loop of radius R = 4.45 cm carrying a current I = 0.25 A. What are the magnetic field's magnitude and direction at the point P due to the wire and loop? (p is perpendicular to the wire's bisector and the center loop) (show all your work)
Analyze the following figure,
The wire’s magnetic field at the point P can be represented as,
Here, μ0, I, and a represent the free space’s permeability, the wire’s current, and the wire’s distance from the point, respectively.
From the triangle ABP and PBC,
Thus,
Here, R represents the loop’s radius.
Substitute the relevant values.
From the right-hand rule, the wire’s magnetic field at P is going indie the page.
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