Question

The unit of magnetic field is 
 

• A. \(\text{newton} \cdot \text{metre}^{-1} \cdot \text{ampere}^{-1} \)
• B. (ii) \( \text{newton} \cdot \text{metre}^{-2} \cdot \text{ampere}^{-2} \)
• C. (iii) \( \text{newton} \cdot \text{metre}^{-2} \cdot \text{ampere}^{-1} \)
• D. (iv) \( \text{newton} \cdot \text{metre}^{-1} \cdot \text{ampere}^{-2} \)

Hint:

The SI unit of the magnetic field (B) is Tesla, which is equivalent to \( \text{newton} \cdot \text{metre}^{-1} \cdot \text{ampere}^{-1} \).

Answer 1

The Correct Option is A

The unit of magnetic field is derived from the definition of force \( F = q(\mathbf{v} \times \mathbf{B}) \), where magnetic force \( B = \frac{F}{qv} \). In terms of SI units: \[ B = \frac{\text{N}}{\text{A} \cdot \text{m}} \quad \Rightarrow \quad \text{newton} \cdot \text{metre}^{-1} \cdot \text{ampere}^{-1}. \]