Question

The radius of a circular loop is 0.5 m and the current passing through the loop is 10A. The magnitude of magnetic field at the centre of the loop is
$(Given{\mu }_0=4\pi \times {10}^{–7}Tm/A)$

• A. $\pi \times {10}^{-7}T$
• B. $4\pi \times {10}^{-6}T$
• C. $4\pi \times {10}^{-7}T$
• D. $2\pi \times {10}^{-7}T$

Answer 1

The correct option is B $4\pi \times {10}^{-6}T$

Radius of the circular loop, r = 0.5
Current in the loop, I = 10 A
$\therefore$ Magnitude of magnetic field at the centre of loop,
$B=\frac{{\mu }_{0}I}{2r}$
$=\frac{4\pi \times {10}^{-7}\times 10}{2\times 0.5}$
$=4\pi \times {10}^{-6}T$
Hence, the correct answer is option (2).