A conducting circular loop of radius 0.250 m is placed in the xy-plane in a unif

Question

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. The loop, having rotated by 45°, rotates clockwise another 30°, so that the normal to the plane points at an angle of 75° with respect to the direction of the magnetic field.
(a) Find the magnetic flux through the loop when ? =75°.
FB = Wb

(b) Find the change in magnetic flux during the rotation from 45° to 75°.
?FB = Wb

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              = 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

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