Question

A charge $q$ is projected into a uniform electric field $E$, work done when it suffers a displacement $Y$ along the field direction is

• A. $qEY$
• B. $\frac{qY}{E}$
• C. $\frac{qE}{Y}$
• D. $\frac{Y}{qE}$

Answer 1

The correct option is A $qEY$

As we know that force $F$ on charge $q$ by the field $E$ is given by

$F=qE$

So work done $W$ for displacement $Y$ along the direction of force will be

$W=FY\cos \theta =FY\cos 0^{\circ }=FY$

$\Rightarrow W=qEY$

Hence, option $\left(a\right)$ is correct.