Two straight conducting rails from a right angle where their end are joined. A conducting bar polaced over the rails starts at vertex at the time `t=0` and moves with a constant velocity `v` to the right as shown in the figure. Calculate
(a) the flux through the triangle (isosceles) by the rails and bar at `t=t_(0)`
the emf around the triangle at that time
(c) in what manner does the emf around the triangle vary with time

Explanation

(a) At `t=t` , area of loop `A=(1)/(2).vt.2vt=v^(2)t^(2)`
`phi=BA=Bv^(2)t^(2)`
(b) `e=(dphi)/(dt)=Bv^(2).2t=2Bv^(2)t`
`t=t_(0)`
`e=2Bv^(2)t_(0)`
(c) `e=2Bv^(2)t`
`epropt`