Question

The work done to transport 20 C charge from point A to another point B over a distance of $0.2 \mathrm{m}$ is 2 joules. The potential difference across AB is
(A) $2 \times 10^{-2} V$
(B) $4\times {{10}^{-1}}\text{V}$
(C) $1 \times 10^{-1} \mathrm{V}$
(D) 10 V

Answer 1

Hint: We know that if the electric potential difference between two locations is 1 volt, then one Coulomb of charge will gain 1 joule of potential energy when moved between those two locations. Because electric potential difference is expressed in units of volts, it is sometimes referred to as the voltage. When a voltage is connected across a wire, an electric field is produced in the wire. Metal wire is a conductor. Some electrons around the metal atoms are free to move from atom to atom. This causes a difference in energy across the component, which is known as an electrical potential difference.

Complete step by step answer
Given is that:
charge $=20 \mathrm{C}$
work done $=2 \mathrm{J}$
We know that,
$\mathrm{V}=\dfrac{\mathrm{W}}{\mathrm{Q}}$
$=\dfrac{20}{2}$
$=10 \mathrm{V}$

Hence, option D is the correct answer.

Note: It is known that any kind of a difference can either be positive or negative, and so can be the potential difference. If the direction of current in the chosen loop is reversed, then the sign of the potential difference will also change correspondingly. The unit of potential difference generated between two points is called the Volt and is generally defined as being the potential difference dropped across a fixed resistance of one ohm with a current of one ampere flowing through it. Electrical potential difference is the difference in the amount of potential energy a particle has due to its position between two locations in an electric field. This important concept provides the basis for understanding electric circuits.