CUET · PHYSICS · PYQ PAPER 2023
A square shaped wire loop of side L is carrying a current I. What is the magnetic field at the point of intersection of diagonals of the square wire loop ?
- A \( \frac{\mu_0 I}{\pi L \sqrt{2}} \)
- B \( \frac{2\sqrt{2} \mu_0 I}{\pi L} \)
- C \(\frac{2 \mu_o I}{\pi L}\)
- D \( \frac{\sqrt{2} \mu_0 I}{\pi L} \)
Answer & Solution
Correct Answer
(B) \( \frac{2\sqrt{2} \mu_0 I}{\pi L} \)
Step-by-step Solution
Detailed explanation
\( r = L/2 \) \( B_{side} = \frac{\mu_0 I}{4 \pi r} (\sin 45^\circ + \sin 45^\circ) = \frac{\mu_0 I}{4 \pi (L/2)} (\frac{1}{\sqrt{2}} + \frac{1}{\sqrt{2}}) = \frac{\mu_0 I}{2 \pi L} (\frac{2}{\sqrt{2}}) = \frac{\sqrt{2} \mu_0 I}{2 \pi L} \)…
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