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Why electrostatic electric field lines cannot …

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Why electrostatic electric field lines cannot be discontinous?
  • 1 answers

Payal Verma 7 years, 4 months ago

Consider an electrostatic field line terminating at a point P. Enclose this point in a Gaussian surface. There is inward net flux. According to Gauss theorem this means that the Gaussian surface must enclose tje negative charge. This means the field line can terminate at P only when there is a negative charge at P. If there is no charge at P, the net flux through the Gaussian surface must be zero and the field line must emerge out pf the surface. Thus an electrostatic field line can terminate only at a charge or it must continue to infinity.
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