A rectangular coil of 100 turns and area 500 x 10-4 m2 carrying 2 A current is placed in auniform magnetic field of 10T. Find the maximum torque applying on the coil
Question
A rectangular coil of 100 turns and area 500 x 10-4 m2 carrying 2 A current is placed in auniform magnetic field of 10T. Find the maximum torque applying on the coil
Solution
The maximum torque (τ) on a current-carrying coil in a magnetic field is given by the formula:
τ = n * B * A * I * sinθ
where: n = number of turns in the coil = 100 B = magnetic field strength = 10 T A = area of the coil = 500 x 10^-4 m^2 I = current in the coil = 2 A θ = angle between the normal to the coil and the magnetic field. For maximum torque, this angle is 90 degrees, so sinθ = 1.
Substituting these values into the formula gives:
τ = 100 * 10 * (500 x 10^-4) * 2 * 1 τ = 1000 Nm
So, the maximum torque on the coil is 1000 Nm.
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