Question

Consider the motional emf arrangement shown in the figure. The 27.5 cm long rod moves at...

Consider the motional emf arrangement shown in the figure. The 27.5 cm long rod moves at a constant 6.50 m/s.

What is the strength of the magnetic field, in Teslas, if a 48.0 V emf is induced? BLANK-1

What is the magnitude of the current, in Amperes, that flows through the 75.0-ohm load resistor? BLANK-2

What force, in Newtons, must be applied to the rod to maintain its constant speed? BLANK-3

How far, in meters, will the 0.50-kg rod continue to travel before it stops if the force is removed, assuming the rails are long enough? BLANK-4

Do not enter units with answers.

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Answer #1

a)

e = BLv

48 = B * 0.275* 6.5

B = 26.853 T

b)

i = e/R = 48/75 = 0.64 A

c)

F = BiL = 26.853* 0.64* 0.275 = 4.726 N

d)

a = F/m = 9.452 m/s^2

using 3rd equation of motion

d = v^2/(2a) = 6.5^2 / ( 2* 9.452)

d = 2.235 m

========

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