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The diagram below depicts a rectangular wire loop of width a = 16.5 cm and heigh

ID: 1447826 • Letter: T

Question

The diagram below depicts a rectangular wire loop of width a = 16.5 cm and height b = 9.00 cm, that is connected to a current source that when turned on, gives rise to a current I = 0.10 A in the wire. The loop is suspended in a uniform magnetic field B = 0.15 T that points in a vertical direction as shown in the diagram, and it would hang vertically if there were no current in the wire. We assume that the wire is massless, but two masses m = 5.50 g are suspended at the lower corners. What is the angle, ?, at which the loop is in equilibrium?

Explanation / Answer

At equilibrium position
The force BI and mg are perpendicular to each other.
tan = BI/mg = 0.15*0.1/(2* 5.5x 10-3*9.8) =0.13914
= 7.92