Along the path shown in the figure above, the magnetic field is measured and is

Question

Along the path shown in the figure above, the magnetic field is measured and is found to be uniform in magnitude and always tangent to the circular path. If the radius of the path is 0.03 [m] and the magnitude of the magnetic field is 1.3 Times 10^-6[T], use Ampere's Law to find the magnitude of the conventional current enclosed by the path, and use the appropriate right-hand rule to determine the direction of the current. I = 0.437 [A], Into the page I = 0.845 [A], Out of the page I = 0.195 [A], Into the page I = 1.37 [A], Out the page

Explanation / Answer

As per Ampere's Law -

B = (u0/2*pi)(I/r)

=> I = (B*2*pi*r) / u0 = (1.3x10^-6x2x3.14x0.03) / (1.257x10^-6) = 0.1948 A

Now, apply right-hand rule, its direction shall be into the page.

Hence, third option is the correct answer.

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