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The figure shows a 23 cmlong metal rod pulled alongtwo frictionless, conducting

ID: 2059712 • Letter: T

Question

The figure shows a 23 cmlong metal rod pulled alongtwo frictionless, conducting rails at a constant speed of 3.9 m/s . The rails havenegligible resistance, but the rod has a resistanceof 0.70 .

http://session.masteringphysics.com/problemAsset/1169588/1/jfk.Figure.25.P04.jpg

part a

What is the current induced in the rod?

Express your answer using two significant figures.


Part B -

What is the magnitude of the force is required to keep the rodmoving at a constant speed?

Express your answer using two significant figures.


Part C

And what is the direction of this force?


Explanation / Answer

induced emf = d/dt

=BA

emf =d/dt = B dA/dt = B*l*v =1.4*0.23*3.9 = 1.2558V

induced current = V/R =1.2558 /0.7 =1.794 A

Force required F=Bil = 0.23*1.4*1.794 =0.5776 N

in direction left