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the figure shows a 23cm -long metal rod pulled along two frictionless, conductin

ID: 1288734 • Letter: T

Question

the figure shows a 23cm -long metal rod pulled along two frictionless, conducting rails at a constant speed of 4.0m/s . The rails have negligible resistance, but the rod has a resistance of 0.65ohm

a)What is the current induced in the rod?

b)What is the magnitude of the force is required to keep the rod moving at a constant speed?

the figure shows a 23cm -long metal rod pulled along two frictionless, conducting rails at a constant speed of 4.0m/s . The rails have negligible resistance, but the rod has a resistance of 0.65ohm a)What is the current induced in the rod? b)What is the magnitude of the force is required to keep the rod moving at a constant speed?

Explanation / Answer

induced emf e = lvB

emf e = 0.23*4 * 1.4

emf e = 1.288 Volts

induced curent i   = emf/R

i = 1.288/0.65

i = 1.981 Amps
-------------------------

apply F = iLB

F = 1.981* 0.23* 1.4

F = 0.638 N