6. A rectangular coil consists of N - 150 closely wrapped turns and has dimensio

Question

6. A rectangular coil consists of N - 150 closely wrapped turns and has dimensions a 0.400 m and b = 0.300 m. The coil is hinged along they axis, and its plane makes an angle = 30.0° with the x axis (see figure). what is the magnitude of the torque exerted on the coil by a uniform magnetic field B = 0.410T directed in the positive x direction when the current is I = 1.20 A in the direction shown? In addition, what is the expected direction of rotation of the coil if you are looking downward from the positive y direction? (A) 7.67 N·m (counterclockwise) (B) 7.67 Nm (clockwise) (C) 9.98 N-m (counterclockwise) (D) 9.98 N-m (clockwise) (E) Does not rotate 8 2 0

Explanation / Answer

= N i B A sin ;

is angle between Area vector and B ,

B is along x axis

since area makes angle of 30 degree w r t x axis , the area vector makes angle of 60 degree w r t x axis ,

so

= N i B A sin ;

= 150 * 1.2 * 0.41* ( 0.3 * 0.4 ) sin 60 ;

= 7.67 N. m (clockwise)

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