Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. The diagram depicts a rectangular wire loop of width a = 13.0 cm and height b

ID: 1444210 • Letter: 1

Question

1.
The diagram depicts a rectangular wire loop of width a = 13.0 cm and height b = 7.45 cm, that is connected to a current source that when turned on, gives rise to a current I = 0.200 A in the wire. The loop is suspended in a uniform magnetic field B = 0.500 T that points in a vertical direction, and it would hang vertically if there were no current in the wire. We assume that the wire is massless, but two masses m = 5.55 g are suspended at the lower corners. What is the angle, , at which the loop is in equilibrium?

2.

A narrow flat coil wound on a square frame has 300 turns and sides of 28.0 cm. It carries a current of 3.45 A and is positioned in a 0.250- T magnetic field. What is the maximum torque that can be exerted by the field on the coil?

Explanation / Answer

in equilibrium magnetic force and gravity force is equal

tan theta = BI/mg

theta = 42.59 degree

part 2 )

t = NIAB

t = 300 * 3.45 * ( 28 * 28 * 10^-4) * 0.250

t = 20.286 N-m