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⚛️ Physics  ·  Electric Charges and Fields  ·  NEET & JEE

A point charge of 8 &micro;C lies inside a closed surface. The net electric flux through the surface is (take &epsilon;<sub>0</sub> = 8.85 &times; 10<sup>-12</sup> C<sup>2</sup> N<sup>-1</sup> m<sup>-2</sup>):

Answer: 9.0 10 5 N m 2 /C.

  • A 4.5 &times; 10<sup>5</sup> N m<sup>2</sup>/C
  • B 8.0 &times; 10<sup>5</sup> N m<sup>2</sup>/C
  • C 1.8 &times; 10<sup>6</sup> N m<sup>2</sup>/C
  • D 9.0 &times; 10<sup>5</sup> N m<sup>2</sup>/C

Correct answer: D. 9.0 &times; 10<sup>5</sup> N m<sup>2</sup>/C

Explanation: By Gauss law the flux depends only on the enclosed charge: &Phi; = q/&epsilon;<sub>0</sub> = 8 &times; 10<sup>-6</sup>/8.85 &times; 10<sup>-12</sup> &asymp; 9.0 &times; 10<sup>5</sup> N m<sup>2</sup>/C, independent of the surface shape or size.

Field Lines: Single Charge vs Electric Dipole+isolated +charge: lines radiate outward, all directions+dipole: lines curve from + to − (denser between them)

Field lines always point from positive to negative charge, are denser where the field is stronger, and never cross; an isolated positive charge has lines radiating symmetrically outward, while a dipole's lines curve from the positive to the negative charge.

Concept context

Coulomb's law, electric field, potential, capacitors, Gauss's law.

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