A rectangular coil with a length of 6.0 cm and a width of 4.0 cm and 250 turns is placed in a uniform magnetic field with a magnitude of 0.88 T. (a) If the maximum torque experienced by the coil is 0.13 N · m, determine the current in the coil.

0.246 A.

Explanation:

Current: This can be defined as the rate of flow of charge in an electric Circuit. The S.I unit of current is Ampere (A).

The expression containing torque, magnetic Field, Current, Area and Number of turns is given as,

τ = BANI Equation 1

Where τ = Torque, B = Magnetic Field, A = Area, N = Number of Turns, I = current in the coil.

Make I the subject of the equation.

I = τ/BAN Equation 2

Given: τ = 0.13 N.m, B = 0.88 T, N = 250 Turns

But, A = Length(L)×Width(W) = LW

Where L = 4.0 cm = 0.04 m, W = 6.0 cm = 0.06 m

A = 0.04×0.06 = 0.0024 m²

Substitute into equation 2

I = 0.13/(0.88×250×0.0024)

I = 0.13/0.528

I = 0.246 A.

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