A current i flows through an infinitely long wire having infinite bends as shown. The…
Physics · JEE Advanced · NTA Exams — Magnetic Effects of Current and Magnetism
A current i flows through an infinitely long wire having infinite bends as shown. The radius of first curved section is a and the radii of successive curved portions each increases by a factor η. The magnetic field at the point O is
- \(\frac{\mu_{0} \mathrm{i} \theta}{4 \pi \mathrm{a}(\eta+1)}\)
- \(\frac{\mu_{0} \mathrm{i} \theta \eta}{4 \pi \mathrm{a}(\eta+1)}\)
- \[\frac{\mu_{0} \mathrm{i} \theta \eta^{2}}{4 \pi \mathrm{a}\left(\eta^{2}+1\right)}\]
- \[\frac{\mu_{0} \mathrm{i} \theta \eta^{2}}{4 \pi \mathrm{a}\left(\eta^{2}-1\right)}\]
Answer
(B) _ 0 i 4 a ( +1)
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