112. Find the magnitude and direction of the torque
acting on the square loop as shown in the
diagram where B = 1.5T along positive Z-axis,
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The magnitude of torque is |τ| = 6 x 19^-4 N-m and is directed along x direction.
Explanation:
We are given:
Magnetic field B = 1.5 T
|τ| = m x B
|τ| = m.B sin θ ( i x k)
|τ| = NIABsin θ ( i x k)
Here
- N = 1
- A = 4 x 10^-4 m^2
- B = 1.5 T
- I = 1
sin θ = sin 90° = 1
|τ| = NIABsin θ
|τ| = 1 x 1 x 4 x 10^-4 x 1.5 ( i x k)
|τ| = 6 x 19^-4 N-m
Thus the magnitude of torque is |τ| = 6 x 19^-4 N-m and is directed along x direction.
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