Electric flux

Electric Flux

• Units and Variables

• Definition of Electric Flux

  ${\Phi }_E=EA\cos \left(\theta \right)$

• Gauss's Law

  ${\Phi }_E=\oint E\cdot \mathrm{dA}=\frac{q_{\mathrm{inside}}}{{\epsilon }_0}$

• Electric Field due to a Point Charge

  $E=k_e\frac{q}{r^2}$

• A Spherically Symmetric Charge Distribution (for r > R)

  $E=k_e\frac{Q}{r^2}$

• A Spherically Symmetric Charge Distribution (for r < R)

  $E=k_e\frac{Qr}{R^3}$

• Electric Field due to a Thin Spherical Shell (for r > R)

  $E=k_e\frac{Q}{r^2}$

• Electric Field due to a Thin Spherical Shell (for r < R)

  $E=0$

• Electric Field due to a Line Charge of Infinite Length

  $E=2k_e\frac{\lambda }{r}$

• Electric Field due to a Charged Plane

  $E=\frac{\sigma }{2{\epsilon }_0}$

• Electric Field due to a Conductor (on Surface)

  $E=\frac{\sigma }{{\epsilon }_0}$

• Electric Field due to a Conductor (inside)

  $E=0$