પ્રવાહનું વહન કરતા ત્રણ લાંબા સીધા તાર આકૃતિમાં દર્શાવ્યા મુજબ પરસ્પર સમાંતર ગોઠવાયેલા છે. તાર Q ની 15 cm લંબાઈ દ્વારા અનુભવાતું બળ ___________.

\(\left(\mu_0=4 \pi \times 10^{-7} T . m / A \right)\)

A \(6 \times 10^{-7}\) N, P તરફ
B \(6 \times 10^{-6}\) N, R તરફ
C \(6 \times 10^{-7}\) N, R તરફ
D \(6 \times 10^{-6}\) N, P તરફ

Verified Solution

Answer & Solution

Correct Answer

(B) \(6 \times 10^{-6}\) N, R તરફ

Step-by-step Solution

Detailed explanation

\(F _{ net }=\frac{\mu_0}{2 \pi} I _0\left(\frac{ I _1}{d_1}+\frac{ I _2}{d_2}\right) \ell\) \(F _{ net }=2 \times 10^{-7} \times 1\left(\frac{3}{3}+\frac{2}{2}\right) \times \frac{15 \times 10^{-2}}{10^{-2}}\) \(=4 \times 15 \times 10^{-7}\)…

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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