Could you please help me to solve this? A metal rod is forced to move with a con

Question

Could you please help me to solve this?

A metal rod is forced to move with a constant velocity of 4 m/s along two parallel metal rails connected with a metal strip at the left edge. The rod has a resistance of 10 ohm. and the rails and strip have no resistance. The rails are separated by a distance of 1 meter. A magnetic field is directed into the page, with magnitude given by B(y,t) = y^2 (t + 1), where B is in Teslas, t is in seconds, and y is in meters. The x-axis extends to the right with the x=0 position coinciding with the fixed left edge. The y-axis extends upward with the y=0 position coinciding with the bottom rail. At t=0, the rod is positioned at x = 1 meter. Find the magnitude and direction (CW or CCW) of the current that is induced the circuit at t=2. Give an explanation to support your direction choice.

Explanation / Answer

let,

velocity of metol rod, v=4m/sec

resistance, R=10 ohms

separation between the rails, l=1m

magnetic field, B=y^2(t+1)

distnace moved by the rod, x=1m,

time taken, t=2 sec

current, i=emf/R

i=l*V*B/R

i=l*v*y^2(t+1)/R

i=1*4*(1^2*(2+1))/(10)

i=1.2 A ----->

and

direction of current is counter clock wise

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