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

The 20.0 cm by 35.0 cm rectangular circuit shown in the figure (Figure 1) is hin

ID: 1463860 • Letter: T

Question

The 20.0 cm by 35.0 cm rectangular circuit shown in the figure (Figure 1) is hinged along side ab. It carries a clockwise 5.00 A current and is located in a uniform 1.20 T magnetic field oriented perpendicular to two of its sides, as shown

Part A

Which force exerts a torque about the hinge ab?

Part B

Calculate only the force that exert the torque mentioned in part (A).

F= (N)

Part C

Use your results from part (B) to calculate the torque that the magnetic field exerts on the circuit about the hinge axis ab.

? = (N.m)

F? ab F? bc F? cd F? da

Explanation / Answer

A) there is no force acting on bc and ad ,since the angle between B and current i is zero.hence Force F = B*i*L*sin(0) = 0 N


but Force on cd is F_cd = B*i*L = 1.2*5*0.2 = 1.2 N

So the F_cd exerts a torque about the hinge ab


B) F_cd = B*i*L = 1.2*5*0.2 = 1.2 N


C) Torque T = r*F = 0.35*1.2 = 0.42 N-m