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NEET 2025
Exam
NEET
Year
2025
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2025 · Physics · Magnetic Effects of Current

A 2 amp current is flowing through two different small circular...

A 2 amp current is flowing through two different small circular copper coils having radii ratio 1:21: 2. The ratio of their respective magnetic moments will be

Options

  1. A1:41: 4
  2. B1:21: 2
  3. C2:12: 1
  4. D4:14: 1

Correct answer

A. 1:41: 4

Step-by-step solution

\begin{aligned} &\text{ Magnetic moment } \mathrm{M}=\mathrm{I}(\mathrm{ A})\\ &\begin{aligned} & \mathrm{M}=\mathrm{I}\left(\pi \mathrm{r}^2\right) \\ & \frac{\mathrm{M}_1}{\mathrm{M}_2}=\frac{I \pi r_1^2}{I \pi r_2^2}=\left(\frac{r_1}{r_2}\right)^2=\left(\frac{1}{2}\right)^2 \\ & \frac{\mathrm{M}_1}{\mathrm{M}_2}=\frac{1}{4} \end{aligned} \end{aligned}$
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