TS EAMCET · Physics · Magnetic Effects of Current
A coil having 100 turns is wound tightly in the form of a spiral with inner and outer radii \(1 \mathrm{~cm}\) and \(2 \mathrm{~cm}\), respectively. When a current 1 A passes through the coil, the magnetic field at the centre of the coil is
- A \(2 \pi \ln (2) \mathrm{mT}\)
- B \(\frac{\pi}{2} \ln (2) \mathrm{mT}\)
- C \(\pi \ln (2) \mathrm{mT}\)
- D \(\sqrt{2} \pi \ln (2) \mathrm{mT}\)
Answer & Solution
Correct Answer
(A) \(2 \pi \ln (2) \mathrm{mT}\)
Step-by-step Solution
Detailed explanation
Consider a small circular element of thickness \(d r\) at a distance \(r\) from the centre of spiral as shown in the figure, Total number of turns in this element \(=\frac{N}{b-a} d r\) Current passing through this element, \(i=\frac{N}{b-a} d r I\) \(\therefore\) Magnetic field…
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