Coulomb's & Gauss's Laws: Electrostatic force between point charges is $F = \frac{k_e |q_1 q_2|}{r^2}$. Gauss's Law states net electric flux equals enclosed charge: $\Phi_E = \oint \vec{E}\cdot d\vec{A} = \frac{Q_{\text{enc}}}{\epsilon_0}$.
Capacitance & Energy: Parallel-plate capacitance $C = \frac{\epsilon_0 A}{d}$. Stored electrical energy is $U = \frac{1}{2}CV^2 = \frac{Q^2}{2C}$.
RLC AC Resonance: Total impedance is $Z = \sqrt{R^2 + (\omega L - 1/\omega C)^2}$. Resonant frequency occurs at $f_0 = \frac{1}{2\pi\sqrt{LC}}$ where $Z = R$.
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