Question

The work done is moving a charge of coulombs from a point at 230 volts to another point at 240 volts is:
A. 50 J
B. 15 J
C. 100 J
D. 500 J

Answer 1

Hint: We know that the theoretical difference is the work performed per unit cost. A potential difference of 1 V means that 1 joule of work is done per coulomb of charge i.e. $V = \dfrac{{{\text{Work}}}}{{{\text{Charge}}}}$.

Complete step by step answer:

Formula used - $V = \dfrac{{{\text{Work}}}}{{{\text{Charge}}}}$

Considering the voltage at point A, ${V_1}$=230V
Voltage at point B, ${V_2}$= 240V

Therefore potential difference=$\Delta V = {V_2} - {V_1}$=240-230=10V

We know that, $V = \dfrac{{{\text{Work}}}}{{{\text{Charge}}}}$
Work done = potential difference * Charge shifted.
Work done = 10 * 5 = 50J
Hence, the correct answer is 50J
Hence, the correct option is A.

Note – In such type of questions, we can also find the number of electrons required to produce a work of 10J as $n = \dfrac{{{\text{Work done}}}}{{{\text{Charge of a single electron}}}}$. Doing this will solve your problem.