Q15: A rectangular coil consists of N = 110 closely wrapped turns and has dimens

Question

Q15:

A rectangular coil consists of

N = 110

closely wrapped turns and has dimensions

a = 0.400 m

and

b = 0.300 m.

The coil is hinged along the y axis, and its plane makes an angle

? = 30.0°

with the x axis (figure).

(a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field

B = 0.790 T

directed in the positive x direction when the current is

I = 1.20 A

in the direction shown?

N · m

15. 3/6 points | Previous Answers SerPSE9 29.P.051.MI.FEB | My Notes Ask Your Teacher A rectangular coil consists of N = 110 closely wrapped turns and has dimensions a = 0.400 m and b = 0.300 m. The coil is hinged along the y axis, and its plane makes an angle = 30.0° with the x axis (figure). (a) What is the magnitude of the torque exerted on the coil by a uniform magnetic field B 0.790 T directed in the positive x direction when the current is I1.20 A in the direction shown? 6.2568 The torque depends on the angle between the magnetic field and the vector normal to the plane of the current- carrying loop. N m

Explanation / Answer

Torque on the loop, T = N*I*A*B*sin(theta) (here N is no of loops,I is current, A is area of loop, B is magnetic field and theta is angle betweeen normal to the loop and B)

= 110*1.2*(0.4*0.3)*0.79*sin(90 - 30)

= 110*1.2*(0.4*0.3)*0.79*sin(60)

= 10.84 N.m

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