The magnetic field at the centre of a circular coil of radius r is π times that due to a…
Physics · JEE Advanced · NTA Exams — Magnetic Effects of Current and Magnetism
The magnetic field at the centre of a circular coil of radius r is π times that due to a long straight wire at a distance r from it, for equal currents. Figure here shows three cases : in all cases the circular part has radius r and straight ones are infinitely long. For same current the B field at the centre P in cases 1, 2, 3 have the ratio
- \(\left(-\frac{\pi}{2}\right):\left(\frac{\pi}{2}\right):\left(\frac{3 \pi}{4}-\frac{1}{2}\right)\)
- \(\left(-\frac{\pi}{2}+1\right):\left(\frac{\pi}{2}+1\right):\left(\frac{3 \pi}{4}+\frac{1}{2}\right)\)
- \(-\frac{\pi}{2}: \frac{\pi}{2}: 3 \frac{\pi}{4}\)
- \(\left(-\frac{\pi}{2}-1\right):\left(\frac{\pi}{2}-\frac{1}{4}\right):\left(\frac{3 \pi}{4}+\frac{1}{2}\right)\)
Answer
(A) (- 2 ): ( 2 ): ( 3 4 - 1 2 )
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