Magnetic Effects Of Current Question 10

Question 10 - 2024 (30 Jan Shift 2)

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 $\mathrm{X} \sqrt{2} \times 10^{-7} \mathrm{~T}$. The value of $\mathrm{X}$ is

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Answer: (40)

Solution:

$$ \begin{aligned} & B=4 \times \frac{\mu_{0} \mathrm{i}}{4 \pi(1 / 2)}\left(\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}\right) \ & =4 \times 10^{-7} \times 5 \times 2 \times \sqrt{2} \ & =40 \sqrt{2} \times 10^{-7} \mathrm{~T} \end{aligned} $$