Question 294: Magnetism and Matter

Question

The current of $$5 \mathrm{~A}$$ flows in a square loop of sides $$1 \mathrm{~m}$$ is placed in air. The magnetic field at the centre of the loop is $$X \sqrt{2} 	imes 10^{-7} T$$. The value of $$X$$ is _________.

Accepted Answer

$$\begin{aligned}
& \mathrm{B}=4 	imes \frac{\mu_0 \mathrm{i}}{4 \pi(1 / 2)}\left(\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}ight) \
& =4 	imes 10^{-7} 	imes 5 	imes 2 	imes \sqrt{2} \
& -40 \sqrt{2} 	imes 10^{-7} \mathrm{~T}
\end{aligned}$$

Magnetism and Matter

The current of $5 \mathrm{~A} flows in a square loop of sides 1 \mathrm{~m} is placed in air. The magnetic field at the centre of the loop is X \sqrt{2} \times 10^{-7} T. The value of X$ is _________.

Integer / Numeric Answer Type