MHT CET · Physics · Magnetic Effects of Current
Let the current 'I' be associated with an electron of charge 'e' moving in a circular orbit of radius ' \(r\) ' with speed ' \(v\) ' around the positively charged nucleus. The ratio \(\frac{r}{v}\) is
- A \(\frac{\mathrm{e} \mathrm{I}}{2 \pi}\)
- B \(\frac{2 \pi}{\mathrm{eI}}\)
- C \(\frac{\mathrm{e}}{2 \pi \mathrm{I}}\)
- D \(\frac{2 \mathrm{e} \mathrm{I}}{\pi}\)
Answer & Solution
Correct Answer
(C) \(\frac{\mathrm{e}}{2 \pi \mathrm{I}}\)
Step-by-step Solution
Detailed explanation
\( I = \frac{e v}{2 \pi r} \) \( \frac{r}{v} = \frac{e}{2 \pi I} \)
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