In figure, the conductors carry equal currents I. All straight segments are very long and…
Physics · JEE Advanced · NTA Exams — Magnetic Effects of Current and Magnetism
In figure, the conductors carry equal currents I. All straight segments are very long and two circular loops have equal radii. However current around loops have opposite senses. What is the ratio of magnetic fields at a and b at the centre of the loops.
- \(\frac{\mathrm{B}_{\mathrm{a}}}{\mathrm{~B}_{\mathrm{b}}}=\frac{\pi+1}{\pi-1}\)
- \(\frac{\mathrm{B}_{\mathrm{a}}}{\mathrm{~B}_{\mathrm{b}}}=\frac{\pi+2}{\pi-2}\)
- \(\frac{\mathrm{B}_{\mathrm{a}}}{\mathrm{~B}_{\mathrm{b}}}=\frac{2 \pi-1}{2 \pi+1}\)
- \(\frac{\mathrm{B}_{\mathrm{a}}}{\mathrm{~B}_{\mathrm{b}}}=\frac{2 \pi+1}{2 \pi}\)
Answer
(A) B _ a ~B _ b = +1 -1
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