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JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism

A rigid square loop of side \(a\) and carrying current \(I_2\) is laying on a horizontal surface near a long current \(I_1\) wire in the same plane as shown in figure. The net force on the loop due to the wire will be

  1. A Repulsive and equal to \(\frac{{{\mu _0}{I_1}{I_2}}}{{2\pi }}\)
  2. B Repulsive and equal to \(\frac{{{\mu _0}{I_1}{I_2}}}{{4\pi }}\)
  3. C Zero
  4. D Attractive and equal to \(\frac{{{\mu _0}{I_1}{I_2}}}{{3\pi }}\)
Verified Solution

Answer & Solution

Correct Answer

(B) Repulsive and equal to \(\frac{{{\mu _0}{I_1}{I_2}}}{{4\pi }}\)

Step-by-step Solution

Detailed explanation

\({{\text{F}}_3}{\text{& }}{{\text{F}}_4}\,{\text{cancel}}\,{\text{each}}\,{\text{other}}{\text{. }}\) \({\text{Force on PQ will be }}{{\text{F}}_1} = {2_B}{\text{Ia}}\) \({\text{ = }}{{\text{I}}_2}\frac{{{\mu _0}{I_1}}}{{2\pi {\text{a}}}}{\text{a}}\)…
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