Statement A : current is scalar
Statement B : current element is vector

Options

A. A and B are true
B. A and B are false
C. A and B are false
D. Only B is true

Answer

To analyze the statements given in the question, we will evaluate each statement one by one.

### Step 1: Evaluate Statement A - "Current is scalar."
- Current is defined as the flow of electric charge. It is characterized by its magnitude (the amount of charge flowing per unit time) and direction (the direction of flow of positive charge).
- However, in physics, current is treated as a scalar quantity because it does not obey the laws of vector addition. Instead, it follows algebraic addition. For example, if two currents are flowing in the same direction, they add up, but if they are in opposite directions, they subtract.
- Therefore, Statement A is **True**.

### Step 2: Evaluate Statement B - "Current element is vector."
- A current element is defined in the context of a small segment of a wire carrying current. It is represented as \( \mathbf{I} \cdot d\mathbf{L} \), where \( \mathbf{I} \) is the current and \( d\mathbf{L} \) is a differential length vector in the direction of the current.
- The current element has both magnitude (the amount of current) and direction (the direction of the current flow), thus it is treated as a vector quantity.
- Therefore, Statement B is **True**.

### Conclusion:
Both statements are true:
- Statement A: Current is scalar - **True**
- Statement B: Current element is vector - **True**

### Final Answer:
Both statements A and B are true.

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