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You have a wire of length L = 2.1 m for making a square coil of a dc motor. The

ID: 2279004 • Letter: Y

Question

You have a wire of length L = 2.1 m for making a square coil of a dc motor. The current in the coil is I = 2.0 A, and the magnetic field of the motor has a magnitude of B = 0.32 T. Find the maximum torque exerted on the coil when the wire is used to make (a) a single-turn square coil and (b) a two-turn square coil.

(a) ?max = N*mNkg*m^2TC/s (b) ?max = NC/skg*m^2TN*m You have a wire of length L = 2.1 m for making a square coil of a dc motor. The current in the coil is I = 2.0 A, and the magnetic field of the motor has a magnitude of B = 0.32 T. Find the maximum torque exerted on the coil when the wire is used to make (a) a single-turn square coil and (b) a two-turn square coil.

Explanation / Answer

a)

here N=1

so we have make one square coil

Area of the coil

A=(L/4)^2 =(2.1/4)^2

A=0.2756 m^2

maximum torque is

Tmax =NIAB =1*2*0.2756*0.32

Tmax =0.1764 N-m

b)

here N=2

we have to make 2 square coils

A=(L/8)^2 =(2.1/8)^2 =0.0689 m^2

Tmax =NIAB =2*2*0.0689*0.32

Tmax =0.0882 N-m


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