brodylynncarter4920 brodylynncarter4920
  • 06-03-2020
  • Physics
contestada

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?

Respuesta :

aristocles aristocles
  • 19-03-2020

Answer:

Current in the wire is given as

[tex]i = 1.17 \times 10^{-7} A[/tex]

Explanation:

magnetic field due to long current carrying wire is given as

[tex]B = \frac{\mu_0 i}{2\pi r}[/tex]

so we have magnetic force on moving charge is given as

[tex]F = qvB[/tex]

so we have

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

so we have

[tex]1\times 10^{-6} = 1.5 \times \frac{2 i}{0.35}[/tex]

[tex]i = 1.17 \times 10^{-7} A[/tex]

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