A uniform electric field pointing in positive X direction exists in a region Let O be the origin, A be the point on X axis at $x= +2 cm$ and B be the point on Y axis at $y = +1 cm$. Then potential at the point O, A and B satisfy: |
$V_O>V_A$ $V_O<V_A$ $V_O>V_B$ $V_O<V_B$ |
$V_O>V_A$ |
The correct answer is Option (1) → $V_O>V_A$ Uniform electric field, $E=Ei$ Potential difference = $-\int E.dx$ Since, the electric field exists only along x-axis, the potential depends only on the x-coordinate and is dependent of y-coordinate. $∴V_A-V_O=-E(x_A-x_O)$ $=V_O-E×0.02$ and, Potential at O and B. B is on the y-axis $(x=0,y=1)$ thus, $V_B=V_O$ $∴V_A<V_O=V_B$ |