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The field 5 cm from the axis of a long wire carrying 1 nC/m is about

  • A.360 V/m
  • B.180 V/m
  • C.36 V/m
  • D.3.6 kV/m

Answer: A

Correct answer: 360 V/m

For an infinite line charge, \[ E = \frac{\lambda}{2\pi\varepsilon_0 \rho} = \frac{10^{-9}}{2\pi \times 8.854\times10^{-12} \times 0.05} = 360\ \mathrm{V/m}. \] Note the inverse first power of the distance rather than the inverse square, which follows from the cylindrical rather than spherical geometry.

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