In the figure, a metal rod is forced to move with constant velocity along two pa

Question

In the figure, 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 = 0.399 T points out of the page, (a) If the ralls are separated by 28.7 cm and the speed of the rod Is 82.3 cm/s, what is the magnitude emf the emf generated In volts (b) If the rod has a resistance of 20.9 Ohm 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? (a) Number Units (b) Number Units (c) Number Units

Explanation / Answer

a)
|d/dt| = BL dx/dt = BLV

|| = 0.399*0.287*0.823

|| = 0.094 volt

b) total rirstance for loop is R = 20.9ohm

= /R = 0.094/20.9 = 0.00449A
current = 0.00449 A

c) p = ^2/R or i^2R

= (0.00449)^2*20.9 = 4.213*10^-4 watt

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