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Electric potential is a:

AScalar with unit volt
BVector
CField line
DForce
Answer & Solution
Correct answer: A. Scalar with unit volt
### Step-by-Step Solution **1. Definition of Electric Potential:** Electric potential ($V$) at a point in an electric field is defined as the amount of work done ($W$) per unit positive test charge ($q$) in bringing the charge from infinity to that point without acceleration: $$V = \frac{W}{q}$$ **2. Determining the Type of Quantity:** - **Work ($W$):** Work is a scalar quantity because it is the dot product of force and displacement. - **Charge ($q$):** Charge is a fundamental scalar quantity. Since the ratio of two scalars is itself a scalar, **Electric Potential is a scalar quantity**. It has magnitude but no direction. **3. Units of Electric Potential:** The SI unit for work is the Joule ($J$) and for charge is the Coulomb ($C$). Therefore, the unit for potential is: $$\text{Unit of } V = \frac{\text{Joule}}{\text{Coulomb}} = \text{J/C}$$ In the International System of Units (SI), $1 \text{ J/C}$ is defined as **$1 \text{ Volt (V)}$**. **Conclusion:** Electric potential is a scalar quantity with the unit Volt.
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