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Unformatted text preview: M and speciﬁc heat Cm, is dropped
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m a battery with internal resistance r. Youneed to choose the value of the heater wire resistance RL so that the battery can deliver the maximum power to the
wire. You realize that if RL is zero, no power will be delivered. Also, if RL is inﬁnite
there will also be zero power delivered. What is the value of RL (somewhere between
0 and Inﬁnity) that dissipates the maximum power? Prove your answer. (lr‘f)
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resistance R) is traveling at constant velocity v. It then enters a region with magnetic ﬁeld B. a) What is the force on the wire loop when it ﬁrst enters the region with magnetic ﬁeld? b) What is the force on wire loop once it is completely inside the region with magnetic ﬁeld? c) What is the velocity of the wire loop once it is inside the region with magnetic ﬁeld? d) At what resistance will the loop stop before fully entering the region with magnetic ﬁeld? Is this a maximum
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nonconducting cylinder has thickness r2 — r1.
The cylinder has a uniform volume charge
density p and is positioned a distance d away
from an inﬁnite nonconducting sheet with
surface charge density 0. A charged particle
(mass m and charge q) is released from point
a, at a height 1 above the cylinder. What is
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 Spring '08
 ZETTLE

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