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<p>A 9.0-cm-long wire is pulled along a U-shaped conducting rail in a perpendicu

ID: 2067118 • Letter: #

Question

<p>A 9.0-cm-long wire is pulled along a U-shaped conducting rail in a perpendicular magnetic field. The total resistance of the wire and rail is 0.33&#937; . Pulling the wire with a force of 1.2N &#160;causes 3.7W &#160;of power to be dissipated in the circuit&#160;</p>
<p>What is the speed of the wire when pulled with&#160;<span>1.2</span>&#160;<img src="http://session.masteringphysics.com/render?units=N" alt="N" align="middle" />?</p>
<p>&#160;</p>
<p>What is the strength of the magnetic field?</p>

Explanation / Answer

P = 2 / R >>>> = (P R) = (3.7*0.33) = 1.105 V

P = R i2 >>>> i = (P/R) = (3.7/0.33) = 3.348 A

F = i L B

>>> B = F/(i L) = 1.2/(3.348*0.09) = 3.98 T

= B L v

>>> v = /(B L) = 1.105/(3.98*0.09) = 3.08 m/s

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