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The field of an infinite straight line charge of density \( \rho_L \) at a distance \( \rho \) is

  • A.\( \rho_L\rho/(2\pi\epsilon_0) \)
  • B.\( \rho_L/(2\pi\epsilon_0\rho) \), directed radially
  • C.\( \rho_L/(4\pi\epsilon_0\rho^2) \)
  • D.\( \rho_L/(2\epsilon_0) \)

Answer: B

Applying Gauss's law to a cylinder round the line gives an area proportional to the radius, so the field falls as the first power rather than the square. It points radially away from the line and has no component along it.

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