Energy Stored In Capacitors Field In Dielectrics Gausss Law In Dielectrics
Energy Stored In Capacitors
- Formula: (U=\frac{1}{2}CV^2)
- Meaning: Energy stored in a capacitor is directly proportional to the square of the voltage across it and the capacitance.
Field In Dielectrics
- Polarization: When a dielectric is placed in an electric field, its molecules become polarized, creating an internal electric field.
- Reduced Field: The electric field inside the dielectric is reduced by a factor of (\kappa), the dielectric constant.
Gauss’s Law In Dielectrics
- Bound Charges: Dielectrics contain bound charges that contribute to the total charge enclosed by a surface.
- Modified Gauss’s Law: (\oint\overrightarrow{E}\cdot\hat{n}dA=\frac{Q_{free}}{\varepsilon_0})
- Free Charges: Only the free charges within a dielectric contribute to the net flux of the electric field.
