Please show all work! Thank you! Consider the apparatus shown below in which a c
ID: 2067407 • Letter: P
Question
Please show all work! Thank you!
Consider the apparatus shown below in which a conducting bar can be moved along two rails connected to a lightbulb. The whole system is immersed in a magnetic field of 0.440 T perpendicularly into the page. The vertical distance between the horizontal rails is 0.800 m. The resistance of the lightbulb is 40.6 , assumed to be constant. The bar and rails have negligible resistance. The bar is moved toward the right by a constant force of magnitude 0.600 N.
(a) If the speed of the bar is 17.0 m/s at a particular instant, what is the value of the induced current?
______________ mA
((b) Find the value of this maximum speed.
______________ m/s
(c) What power is delivered to the lightbulb when the bar is moving at its terminal speed?
______________W
Explanation / Answer
a)
= B L v
= 0.440 * 0.800 * 17.0
= 5.984 V
i = /R
= 5.984/40.6
= 147 mA
-------------------------------------
b)
F = i L B
>>>> i = F/(LB)
>>>> i = 0.600/(0.800*0.440)
>>>> i = 1.7046 A
= i R
= 1.7046 * 40.6
= 69.2068 V
= B L v
>>>> v = /(B L)
>>>> v = 69.2068/(0.440*0.800)
>>>> v = 197 m/s
--------------------------------------
c)
W = R i2
W = 40.6 * (1.7046)2
W = 118 Watts
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