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Find the flux density B when the potential is given by x i + y j + z k in air.(a) 12π x 10^-7(b) -12π x 10^-7(c) 6π x 10^-7(d) -6π x 10^-7I got this question in homework.My doubt stems from Magnetic Vector Potential in portion Magnetostics of Electromagnetic Theory

Answer»

The correct option is (B) -12π x 10^-7

For explanation I would say: The field intensity H = -GRAD(V). Since the given potential is a position vector, the gradient will be 3 and H = -3. Thus the flux DENSITY B = μH = 4π x 10^-7 x (-3) = -12π x 10^-7 units.


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