In: Physics
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 = 0.417
T points out of the page. (a) If the rails are
separated by 34.5 cm and the speed of the rod is 48.6 cm/s, what is
the magnitude of the emf generated in volts?(b) If
the rod has a resistance of 26.4 ? 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) The magnitude of emf generated is
? = BLv
= (0.417T)(0.345m)(0.486 m/s)
= 0.0699V
b) The current in the rod is
I = ?/R
= (0.0699V)/(26.4?)
=0.002648 A
c) The power is
P =VI
= (0.0699V)(0.002648A)
= 26.39 W