y You have a wire of length L = 0.8 m for making a square coil of a dc motor. Th

Question

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You have a wire of length L = 0.8 m for making a square coil of a dc motor. The current in the coil is I = 0.8 A, and the magnetic field of the motor has a magnitude ofB = 0.30 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*mkg*m^2NTC/s (b) ?max = C/sNN*mkg*m^2T You have a wire of length L = 0.8 m for making a square coil of a dc motor. The current in the coil is I = 0.8 A, and the magnetic field of the motor has a magnitude ofB = 0.30 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 =(0.8/4)^2

A=0.04 m^2

maximum torque is

Tmax =NIAB =1*0.8*0.04*0.3

Tmax =9.6*10^-3 N-m or 9.6 mN-m

b)

here N=2

we have to make 2 square coils

A=(L/8)^2 =(0.8/8)^2 =0.01 m^2

Tmax =NIAB =2*0.8*0.01*0.3

Tmax =4.8*10^-3 N-m or 4.8 mN-m

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