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http://www.chegg.com/homework-help/questions-and-answers/wire-shape-m-lies-plane

ID: 1399523 • Letter: H

Question

http://www.chegg.com/homework-help/questions-and-answers/wire-shape-m-lies-plane-paper-carries-current-20-flowing-e-placed-uniform-magnetic-field-0-q4186569

1. a wire inthe shape of an "M' lies inthe plane of the paper. it carries a current of 2.0 A, flowing from A to E. it is placed in a uniform magnetic field of 0.75 T in the same plane, directed as shown on the right side of figure 22-7. the figure indicates the dimensions of the wire.

a) what is the magnitude and direction of the force acting acting on section AB of this wire?

b) what is the magnitude and direction of the force acting on section BC of this wire?

c) what is the magnitude and direction of the force acting on section CD of this wire?

d)what is the magnitude and direction of the force acting on section DE of this wire?

e) what is the magnitude and direction of the force acting on the wire?

Explanation / Answer

a) FAB = B*I*L*sin(45)

= 0.75*2*0.1*sin(45)

= 0.106 N ( out of the page)

b) FBC = B*I*L*sin(180)

= 0 N

c) FCD = B*I*L*sin(90)

= 0.75*2*0.06*sin(90)

= 0.09 N ( out of the page)

d) FDE = B*I*L*sin(45)

= 0.75*2*0.1*sin(45)

= 0.106 N ( in to the page)


f) Fnet = 0.106 + 0 + 0.09 - 0.106

= 0.09 N (out of the page)