<p>In Fig. 30-50, a metal rod is forced to move with constant velocity along two

Question

<p>In Fig. 30-50, a metal rod is forced to move with constant velocity along two parallel metal rails, connected with a strip of metal at one end. A magnetic field of magnitude B = 0.453 T points out of the page. (a) If the rails are separated by 24.2 cm and the speed of the rod is 64.0 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 19.0 &#937; and the rails and connector have negligible resistance, what is the current in amperes in the rod? (c) At what rate is energy being transferred to thermal energy?</p>
<p><img src="http://edugen.wiley.com/edugen/courses/crs4957/art/qb/qu/c30/fig30_52.gif" alt="" /></p>

Explanation / Answer

(a) magnitude of   induced e.m.f = BLv                                                 
                                                  = (0.453T) (24.2 x 10 -2 m ) (64 x 10-2 m/s)                                                  
                                                   =0.07 v
(b)Current in the rod:
applying ohms law i=V / R                                
                               = 0.07v / 19                                
                                 =0.03 A (c)The rate of energy transferred to thermal energy : P=i2 R                                                                                 
                                                                               =(0.03 A )2 x 19                                                                                
                                                                               =0.017 w

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