In the figure, a rectangular loop carrying current lies in the plane of a unifor

Question

In the figure, a rectangular loop carrying current lies in the plane of a uniform magnetic field of magnitude 0.0488 T. The loop consists of a single turn of flexible conducting wire that is wrapped around a flexible mount such that the dimensions of the rectangle can be changed. (The total length of the wire is not changed.) As edge length x is varied from approximately zero to its maximum value of approximately 3.87 cm, the magnitude of the torque on the loop changes. The maximum value of is 4.21 × 10-8 N*m. What is the current in the loop?

Explanation / Answer

Torque on a current carrying loop in a magnetic field = N*I*A*B*sin(theta)

Where; N = Number of turns; I = Current; A = Area of the loop; B= Magnetic field strength

here, theta = 90 degree.

Maximum value of torque happens when a square is formed,as a square has the maximum are for a given periphery.

4.21 * 10^(-8) = 0.0488 * 1 * 0.0387*0.0387* I

I = 5.76 * 10^(-4) Amp

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