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General SciencePhysics: Electricity

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Calculate the work done in moving a charge of 2 C through a potential difference of 10 V.

5 J

20 J

0.2 J

12 J

Correct Answer

⚙️ TE • Technical Concept & PrincipleGeneral SciencePhysics: Electricity

Option B

20 J

Quick Summary:

The work done in moving a charge between two points is defined as the product of the charge magnitude and the potential difference between those points. For a charge of $2 \text{ C}$ moving through a potential difference of $10 \text{ V}$ , the work done is $20 \text{ J}$ .

🔬SCScience SolutionConcept & Principle

💡 Explanation

💡 Everyday Analogy (Real-World Intuition)

Think of potential difference as the 'pressure' or 'height' difference in a water tank, and the charge as the volume of water; the work done is similar to the energy required to lift that volume of water to a certain height.

🔢 Key Formulas

$W = q \times V$ — Work done equals charge multiplied by potential difference

$V = \frac{W}{q}$ — Potential difference definition

⚙️ Working Principle

The electric potential difference ( $V$ ) between two points is defined as the work done ( $W$ ) per unit charge ( $q$ ) in moving that charge from one point to the other. Mathematically, this is expressed as $V = \frac{W}{q}$ . Rearranging the formula to solve for work gives $W = q \times V$ .

📌 Key Points

▸
Work done ( $W$ ) is measured in Joules ( $J$ ).
▸
Charge ( $q$ ) is measured in Coulombs ( $C$ ).
▸
Potential difference ( $V$ ) is measured in Volts ( $V$ ).
▸
One Joule is the work done when a charge of $1 \text{ C}$ is moved through a potential difference of $1 \text{ V}$ .

🛠️ Applications / Uses

▸
Battery capacity calculations
▸
Electric circuit design and power distribution

📄 Additional Information

▸
The SI unit of work and energy is the Joule ( $J$ ).
▸
Option A ( $5 \text{ J}$ ) occurs if one mistakenly divides charge by voltage. Option C ( $0.2 \text{ J}$ ) occurs if one divides voltage by charge. Option D ( $12 \text{ J}$ ) is an arithmetic error ( $10+2$ ).

📊 Diagram / Illustration

✅

B is correct — The work done is calculated using the formula $W = q \times V$ , which yields $2 \text{ C} \times 10 \text{ V} = 20 \text{ J}$ .

Core Concepts Used

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Electric Potential Electric Work Charge

💡 EXAM TIP

Always ensure your units are in SI units (Coulombs, Volts, Joules) before applying the formula $W = qV$ to avoid calculation errors.

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