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 = 2.1 A, and the magnetic field of the motor has a magnitude of B = 0.18 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.
Length of th ewire L = 0.8 m
i.e., circumference of the square coil = L
4 a = L
From this side of the square a = L / 4
= 0.2 m
Area of square A = a 2
= 0.04 m 2
Current in the coil i = 2.1 A
Magnitude of the magnetic field B = 0.18 T
(a). The maximum torque exerted on the coil when the wire is used to make a single-turn square coil
= B i A
= 0.01512 N m
(b) when the wire is used to make a two-turn square coil then
circumference of the each square coil = L / 2
4 a '= L / 2
From this side of the square a ' = L / 8
= 0.1 m
Area of square A '= a 2
= 0.01 m 2
The maximum torque exerted on the coil when the wire is used to make a two-turn square coil
= NB i A '
Where N = number of truns = 2
= 0.00756 N m
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will rate, thanks! A rectangular coil of wire consisting of 25.0 loops, each with length 0.200 m and width 0.300 m, lies in the xy-plane. If the coil carries a current of 2.15 A, what is the magnitude of the torque exerted by a magnetic field of magnitude 0.0100 T directed at an angle of 25.0° with respect to the positive 2-axis? N.m