AP EAMCET · PHYSICS · Magnetic Effects of Current
The magnetic moment of an electron moving in a circular orbit of radius \(R\) with a time period T is
- A \(\frac{2 \pi \mathrm{Re}}{\mathrm{T}}\)
- B \(\frac{\pi \mathrm{eR}}{\mathrm{T}}\)
- C \(\frac{\pi e \mathrm{R}^2}{\mathrm{~T}}\)
- D \(\pi \mathrm{R}^2 \mathrm{eT}\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi e \mathrm{R}^2}{\mathrm{~T}}\)
Step-by-step Solution
Detailed explanation
\(\mu = IA\) \(I = \frac{e}{T}\) \(A = \pi R^2\) \(\mu = \frac{e}{T} \cdot \pi R^2 = \frac{\pi e R^2}{T}\)
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