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Physics 21
Fall 2007
Solution to HW17
2925
The conducting rod shown in the figure makes contact with
the metal rails. The apparatus is in a uniform magnetic field
B
perpendicular to the plane of the figure. (A) Find the magnitude
of the emf induced in the rod when it is moving toward the right
with a speed
v
. (B) In what direction does the current flow in the
rod? If the resistance of the circuit is R (assumed to be constant),
find (C) the magnitude and (D) the direction of the force required
to keep the rod moving to the right with a constant speed
v
. (E)
Compare the rate at which mechanical work is done by the force
(
Fv
) with the rate at which thermal energy is developed in the
circuit (
I
^2
R
).
3019
An inductor with an inductance of 2.20 H and a resistance
of
R
= 7.70
Ω
is connected to the terminals of a battery with an
emf of 6.50 V and negligible internal resistance. (A) Find the initial
rate of increase of current in the circuit. (B) Find the rate of
increase of current at the instant when the current is 0.530 A. (C)
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 Spring '08
 Hickman
 Capacitance, Charge, Resistance

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