Which of the following quantity is a vector ?

Options

A. Electric charge
B. Electric potential
C. Electric field
D. None of these

Answer

To determine which of the given quantities is a vector, we need to analyze each option based on the definition of vector quantities. A vector quantity is one that has both magnitude and direction.

### Step-by-Step Solution:

1. **Understanding Vector Quantities**:
- A vector quantity is defined as a physical quantity that has both magnitude and direction. Examples include force, velocity, acceleration, and electric field.

2. **Analyzing the Options**:
- **Option 1: Electric Charge**:
- Electric charge has a magnitude (e.g., +1 Coulomb, -2 Coulombs) but does not have a direction associated with it. Therefore, electric charge is a scalar quantity, not a vector.
- **Option 2: Electric Potential**:
- Electric potential also has a magnitude (e.g., 5 Volts) but does not require a direction. It is a scalar quantity as well, so this option is also incorrect.
- **Option 3: Electric Field**:
- Electric field is defined as the force per unit charge experienced by a positive test charge placed in the field. It has both magnitude and direction (e.g., it points away from positive charges and towards negative charges). Therefore, electric field is a vector quantity.
- **Option 4: None of These**:
- Since we have identified that electric field is a vector quantity, this option is not applicable.

3. **Conclusion**:
- Among the given options, the only vector quantity is the electric field.

### Final Answer:
The quantity that is a vector is **Electric Field**.

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