a, b, c are answered correctly, I just need d and e. Problem: A conducting circu
ID: 1970087 • Letter: A
Question
a, b, c are answered correctly, I just need d and e.
Problem: A conducting circular loop of radius 0.250 m is placed in the xy-plane in a uniform magnetic field of 0.360 T that points in the positive z-direction, the same direction as the normal to the plane. (a) Calculate the magnetic flux through the loop. (b) Suppose the loop is rotated clockwise around the x-axis, so the normal direction now points at a 45.0° angle with respect to the z-axis. Recalculate the magnetic flux through the loop. (c) What is the change in flux due to the rotation of the loop? (see below for question d and e.
(e) Find the change in magnetic flux during the rotation from 45° to 75°.
Explanation / Answer
Given that radius of loop r = 0.250 m uniform magnetic field B = 0.360 T ------------------------------------------------------------ a) The magnetic flux through the loop when = 75° is = BA cos = (0.360 T)((0.250 m)^2) cos 75° = 1.83 x10^-2 T.m^2 = 1.83x 10^-2 wb b) The change in magnetic flux during the rotaion from 45° to 75° is = (0.360 T)((0.250 m)^2) cos 45° - (0.360 T)((0.250 m)^2) cos 75° = 0.032 wb Given that radius of loop r = 0.250 m uniform magnetic field B = 0.360 T ------------------------------------------------------------ a) The magnetic flux through the loop when = 75° is = BA cos = (0.360 T)((0.250 m)^2) cos 75° = 1.83 x10^-2 T.m^2 = 1.83x 10^-2 wb b) The change in magnetic flux during the rotaion from 45° to 75° is = (0.360 T)((0.250 m)^2) cos 45° - (0.360 T)((0.250 m)^2) cos 75° = 0.032 wb = 1.83x 10^-2 wb b) The change in magnetic flux during the rotaion from 45° to 75° is = (0.360 T)((0.250 m)^2) cos 45° - (0.360 T)((0.250 m)^2) cos 75° = 0.032 wbRelated Questions
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