The magnetic field at a distance of 10 cm fr | vedclass

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Question

(C) The magnetic field $B$ at a distance $r$ from a long straight wire carrying current $I$ is given by the formula:$B = \frac{\mu_0 I}{2 \pi r}$Given

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(C) The magnetic field $B$ at a distance $r$ from a long straight wire carrying current $I$ is given by the formula:$B = \frac{\mu_0 I}{2 \pi r}$Given:$I = 4 \ A$$r = 10 \ cm = 0.1 \ m$$\mu_0 = 4 \pi 	imes 10^{-7} \ T \cdot m/A$Substituting the values:$B = \frac{(4 \pi 	imes 10^{-7}) 	imes 4}{2 \pi 	imes 0.1}$$B = \frac{2 	imes 10^{-7} 	imes 4}{0.1}$$B = \frac{8 	imes 10^{-7}}{0.1} = 80 	imes 10^{-7} \ T = 8 	imes 10^{-6} \ T$Since $1 \mu T = 10^{-6} \ T$, we get:$B = 8 \mu T$Therefore, the correct option is $C$.

The magnetic field at a distance of $10 \ cm$ from a long straight thin wire carrying a current of $4 \ A$ is (in $\mu T$)

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