A rectangular loop of wire with sides H = 36 cm and W = 73 cm is located in a re

Question

A rectangular loop of wire with sides H = 36 cm and W = 73 cm is located in a region containing a constant magnetic field B = 1.24 T that is aligned with the positive y-axis as shown. The loop carries current I = 358 mA. The plane of the loop is inclined at an angle = 35o with respect to the x-axis.

1)

What is x, the x-component of the magnetic moment vector of the loop?

A-m2

2)

What is y, the y-component of the magnetic moment vector of the loop?

A-m2

3)

What is z, the z-component of the torque exerted on the loop?

N-m

4)

What is Fbc, the magnitude of the force exerted on segment bc of the loop?.

N

5)

What is the direction of the force that is exerted on the segment bc of the loop?

along negative x-direction

along negative y-direction

along positive x-direction

along positive y-direction

none of the above

Explanation / Answer

1)

ux = I*A*9COS90+35)

UX = I*H*w*COS(90+35)

UX = 0.358*0.36*0.73*cos(90+35)

ux = -0.54 Am^2

++++++++++

2)

uy= = I*A**sin90+35)

UX = I*H*w*sin(90+35)

UX = 0.358*0.36*0.73*sin(90+35)

ux = 0.0771 Am^2

+++++++++++++++

3)

Tz =    uxB

u = -0.054i + 0.771j

B = 1.24 j

Tz = (-0.054i + 0.771j) x 1.24 j

Tz = -0.054*1.24

Tz = -0.06696 k Nm

+++++++++++++

4)

Fbc = I*bc*B

Fbc = 0.358*0.36*1.24 = 0.16 N

+++++++

5)

along positive x-direction

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