Two parallel metal rods form a plane inclined at 20.0° to the horizontal. The up

Question

Two parallel metal rods form a plane inclined at 20.0° to the horizontal. The upper end of the rods are connected together by a resistor of 126.0 . The lower end of the rods are held in an electrically insulating block. They are separated horizontally by a distance of 20.0 cm There is a uniform magnetic field of 0.100 T directed vertically upward. A metal bar of mass 0.10 g is sliding down the metal rods. What is the maximum speed of the bar? Assume: no frictional loss and that the rods are very long; g=9.8 m/s2.

Explanation / Answer

As metal rod starts moving due to gravity it will get some speed.

and current wil flow through rod and it also feel magnetic force.

and after that at some instane this force will become equal to gravitational force along
the incline and then it will move with terminal speed.

at terminal Speed v.

Fm = mgsin@

B^2 L^2 v / R = m gsin@

(0.1^2 x 0.20^2 x v) / (126 ) = 0.10 x 10^-3 x 9.8 x sin20

v = 105.58 m/s

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