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Nookie1986 [14]
3 years ago
11

A long wire is known to have a radius greater than 4.0 mm and to carry a current uniformly distributed over its cross section. i

f the magnitude of the magnetic field is 0.285 mt at a point 4.0 mm from the axis of the wire and 0.200 mt at a point 10 mm from the axis, what is the radius of the wire?
Physics
1 answer:
ollegr [7]3 years ago
8 0

Magnetic field outside it due to long wire is given by

B = \frac{u_o i}{2 \pi r}

Magnetic field due to long wire inside wire at any point

B = \frac{u_o i r}{2 \pi R^2}

Now the ratio of two magnetic field is given by

\frac{B_{in}}{B_{out}} = \frac{r_1/R^2}{1/r_2}

\frac{0.285}{0.200} = \frac{4*10}{R^2}

1.425 = \frac{40}{R^2}

R = 5.3 mm

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