184_notes:examples:week5_flux_dipole

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Suppose you have a two charges, one with value 5μC, the other with value 5μC. There are at separate locations, a distance 1 m apart, and they can be modeled as a dipole. What is the flux through a cylinder with radius 4 m and length 16 m that encloses this dipole?

Facts

  • The dipole charges are q=5μC, q=5μC.
  • The dipole distance is 1 m.
  • The cylinder has radius 4 m and length 16 m.

Lacking

  • Φe through the cylinder

Approximations & Assumptions

  • The axis of the cylinder is aligned with the dipole.
  • The dipole and cylinder are centered with respect to each other.
  • The electric flux through the cylinder is due only to the dipole (i.e., no other charges exist).
  • The charges are point charges, which indeed means we can model them as a dipole.

Representations

  • We represent the situation with the following diagram.

Dipole and Gaussian cylinder

First, notice that

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  • Last modified: 2017/09/18 18:05
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