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Question

The strength of the magnetic field at a point $$r$$ near a long straight current carrying wire is $$B$$. The field at a distance $$\dfrac r2$$ will be 


A
B2
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B
B4
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C
2 B
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D
4 B
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Solution

The correct option is A $$2\ B$$
The strength of magnetic field at a distance $$r$$ from a long straight current carrying wire is inversely proportional to the distance of the point
$$B \propto \dfrac 1r $$

$$\Rightarrow \dfrac{B_1}{B_2}=\dfrac{r_2}{r_1}$$

$$\Rightarrow \dfrac{B}{B_2}=\dfrac{r/2}{r}$$

$$\Rightarrow B_2=2B$$

Physics
NCERT
Standard XII

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