To determine The magnetic field at point P . Explanation Refer figure 1. Write an expression for the distance from each of the two lower currents to point P. r = d 2 + ( d / 2 ) 2 = d 5 2 (I) Here, d is the length of sides of the square and r is the distance from each of the two lower currents to point P. Write an expression for the trigonometric relationship. cos θ = d r (II) Here, θ is the angle. Use equation (I) to rewrite equation (II). cos θ = d d 5 2 = 2 5 (III) Write an expression for the magnetic field at point P . B = 2 μ 0 I 2 π r cos θ (IV) Here, B is the magnetic field and μ 0 is the permeability of free space. Use equation (I) and (III) to rewrite equation (IV)

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ISBN: 9781260486919

Author: GIAMBATTISTA

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Chapter 19, Problem 84P

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The magnetic field at point P.

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Chapter 19, Problem 83P

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