- #1

erisedk

- 374

- 7

## Homework Statement

Electric field given by the vector E = E

_{0}/l (xi + yj) N/C is present in the xy plane. A small ring of mass M carrying charge +Q, which can slide freely on a smooth non-conducting rod, is projected along the rod from the point (0,l) such that it can reach the other end of the rod at (l,0) . Assuming there is no gravity in the region, what minimum velocity should be given to the ring, if QE

_{0}l/M = 8

## Homework Equations

## The Attempt at a Solution

1/2 mv^2 = QΔV

dV = E.ds (ds is the displacement)

dV ={ E

_{0}/l (xi + yj) } {dx i + dy j}

= E

_{0}/l (xdx + ydy)

V = E

_{0}/l ∫xdx + ∫ydy ( ∫xdx from 0 to l, ∫ydy from l to 0)

= 0

Hence velocity required is zero.

Which is terribly wrong.