Question

The potential at any point (x,y,z) in a space is given by $V=x^{2}yz$. The work done in moving a charge 3C from point (1,2,3) to point (3,4,1) is .

• A. 30 J
• B. 90 J
• C. 36 J
• D. 6 J

Answer 1

The correct option is B 90 J

Work done in moving a charge from say point A to point B is given by $W=q(V_B-V_A)$ where $V_{B}and{V}_A$ represent the potentials of point B and A respectively.
Here the particle is moved from A (1,2,3) to B (3,4,1)
$V_B=3^2.4.1=36V$
and $V_A=1^2.2.3=6V$
Work done = $q(V_B-V_A)=3.(36-6)=90J$