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Question: The work done is moving a charge of coulombs from a point at 230 volts to another point at 240 volts...

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

Explanation

Solution

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=WorkChargeV = \dfrac{{{\text{Work}}}}{{{\text{Charge}}}}.

Complete step by step answer:

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

Considering the voltage at point A, V1{V_1}=230V
Voltage at point B, V2{V_2}= 240V

Therefore potential difference=ΔV=V2−V1\Delta V = {V_2} - {V_1}=240-230=10V

We know that, V=WorkChargeV = \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=Work doneCharge of a single electronn = \dfrac{{{\text{Work done}}}}{{{\text{Charge of a single electron}}}}. Doing this will solve your problem.