Question

$12$ J of work is to be done against an existing electric field to take a charge of $0.01$C from A to B. Find the potential difference between B and A.

• A. $120V$
• B. $1200V$
• C. $1.2V$
• D. $12V$

Answer 1

Answer: (B)

$1200V$

Work done in taking a charge $Q$ from point $A$ to point $B$ is given by

$W=Q(V_A-V_B)=Q\Delta V_{AB}$

$⟹\Delta V_{AB}=\frac{W}{Q}$

Given $Q=0.01C$ and $W=12J$.

Hence,

$\Delta V_{AB}=\frac{12}{0.01}=1200V$