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

In the figure below, the current in the long, straight wire is and the wire lies

ID: 2143210 • Letter: I

Question

In the figure below, the current in the long, straight wire is

and the wire lies in the plane of the rectangular loop, which carries a current

The dimensions in the figure are

and

Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire.

In the figure below, the current in the long, straight wire is I1 = 6.40 A and the wire lies in the plane of the rectangular loop, which carries a current I2 = 10.0 A. The dimensions in the figure are c = 0.100 m, a = 0.150 m, and l= 0.560 m Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire.

Explanation / Answer

F=uoI1*I2*L/2pia

force on left hand side is

F_left =uo*I1*I2*L/2pic =(4pi*10^-7)*6.4*10*0.56/(2pi*0.1)

F_left =7.168*10^-5 N

force on right hand side is

F_right =uo*I1*I2*L/2pi(C+a) =(4pi*10^-7)*6.4*10*0.56/(2pi*(0.1+0.15)

F_right =2.867*10^-5 N

total force

F=F_left -F_right =(7.168-2.867)*10^-5

F=4.301*10^-5 N