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The work done in moving a charge of 3 Coulombs across two points having a potential difference of 12 Volts is:
36 Joules
4 Joules
9 Joules
15 Joules
36 Joules
The work done in moving a charge between two points is defined as the product of the magnitude of the charge and the potential difference between the points. Multiplying 3┬аC by 12┬аV yields 36┬аJoules of work.
The work done in moving a charge between two points is defined as the product of the magnitude of the charge and the potential difference between the points. Multiplying 3┬аC by 12┬аV yields 36┬аJoules of work.
Think of potential difference as water pressure and charge as the volume of water; moving a larger volume across a higher pressure difference requires more work.
W=Q├ЧV тАФ Work done by electric field
V=QWтАЛ тАФ Definition of electric potential difference
Electric potential difference (V) represents the work done (W) per unit charge (Q) in moving it between two points, giving the relation W=Q├ЧV. This principle stems from the conservation of energy in electrostatic fields.
Work done in an electrostatic field is independent of the path taken.
The SI unit of work done is the Joule (J).
Calculating electrical energy in circuits
Design of power supplies and battery systems
1 Volt = 1 Joule / Coulomb.
Option C (9 Joules) or B (4 Joules) arise from arithmetic errors.
A is correct тАФ Work done is the product of charge and potential difference (3├Ч12=36┬аJ).
Always check your unit dimensional consistency ([J]=[C]├Ч[V]) to quickly verify formula relationships during exams.
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