Aflat, 101 turn current‑carrying loop is immersed in a uniform magnetic field. the area of the loop is 5.61×10−4 m2, and the angle between its magnetic dipole moment and the field is 48.9∘. find the strength of the magnetic field that causes a torque of 2.75×10−5 n⋅m to act on the loop when a current of 0.00339 a flows in it.

0.2 tesla

Explanation:

Number of turn, N = 101

Area, A = 5.61 x 10^-4 m^2

angle between the magnetic moment and magnetic field, θ = 48.9°

Torque, τ = 2.75 x 10^-5 Nm

Current, i = 0.00339 A

Let the magnetic field strength is B.

The formula for the torque is given by

where, M is the magnetic moment

M = N x i x A = 101 x 0.00339 x 5.61 x 10^-4 = 1.92 x 10^-4 Am^2

By substitute the values

2.75 x 10^-5 = 1.92 x 10^-4 x B x Sin 48.9°

B = 0.189 Tesla

B  = 0.2 Tesla

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

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