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Rudik [331]
2 years ago
12

In a long straight wire, what current is required to exert a 1.0μN force on a 1.0μC charge moving at 1.5×106m/s parallel to the

wire at a distance of 0.35m from the wire?
Physics
1 answer:
Bas_tet [7]2 years ago
6 0

Answer:

Current in the wire is given as

i = 1.17 \times 10^{-7} A

Explanation:

magnetic field due to long current carrying wire is given as

B = \frac{\mu_0 i}{2\pi r}

so we have magnetic force on moving charge is given as

F = qvB

so we have

F = (1\times 10^{-6})(1.5 \times 10^6)(\frac{\mu_0 i}{2\pi (0.35)})

so we have

1\times 10^{-6} = 1.5 \times \frac{2 i}{0.35}

i = 1.17 \times 10^{-7} A

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