આકૃતિમાં દર્શાવ્યા મુજબ \(I_1\) પ્રવાહ પસાર થતાં લાંબા તારથી \(a\) અંતરે \(a\) બાજુવાળા ચોરસ લૂપમાથી \(I_2\) પ્રવાહ પસાર થાય છે.તારને લીધે ચોરસ લૂપ પર લાગતું કુલ બળ કેટલું હશે?

A અપાકર્ષી અને \(\frac{{{\mu _0}{I_1}{I_2}}}{{2\pi }}\) જેટલું
B અપાકર્ષી અને \(\frac{{{\mu _0}{I_1}{I_2}}}{{4\pi }}\) જેટલું
C શૂન્ય
D આકર્ષી અને \(\frac{{{\mu _0}{I_1}{I_2}}}{{3\pi }}\) જેટલું

Verified Solution

Answer & Solution

Correct Answer

(B) અપાકર્ષી અને \(\frac{{{\mu _0}{I_1}{I_2}}}{{4\pi }}\) જેટલું

Step-by-step Solution

Detailed explanation

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

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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