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COMEDK · Physics · 21. Magnetic Effects of Current

A square wire of each side \(l\) carries a current \(I\). The magnetic field at the mid-point of the square

  1. A \(4 \sqrt{2} \frac{\mu_0}{4 \pi} \frac{I}{l}\)
  2. B \(8 \sqrt{2} \frac{\mu_0}{4 \pi} \frac{I}{l}\)
  3. C \(16 \sqrt{2} \frac{\mu_0}{4 \pi} \frac{I}{l}\)
  4. D \(32 \sqrt{2} \frac{\mu_0}{4 \pi} \frac{I}{l}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(8 \sqrt{2} \frac{\mu_0}{4 \pi} \frac{I}{l}\)

Step-by-step Solution

Detailed explanation

\(B=4\left[\frac{\mu_0}{4 \pi} \cdot \frac{I}{a}\left(\sin \phi_1+\sin \phi_2\right)\right]\) Here, \(a=\frac{l}{2}\) and \(\phi_1=\phi_2=45^{\circ}\)…