FormulaPhase shift (RLC series circuit) $$ \tan(\varphi) ~=~ \frac{ \omega \, L ~-~ \frac{1}{\omega \, C} }{ R } $$
FormulaImpedance (RLC series circuit) $$ |Z| ~=~ \sqrt{ R^2 ~+~ \left( \omega \, L ~-~ \frac{1}{\omega \, C} \right)^2 } $$
FormulaResonant RLC series circuit (maximum current, voltage, total impedance) $$ I_0 ~=~ \frac{ U_0 }{ \sqrt{ R^2 ~+~ \left( \omega \, L ~-~ \frac{1}{\omega \, C} \right)^2 } } $$
CourseLevel 3 (for advanced students)Fundamentals of electrodynamics Here you will learn about Maxwell's equations and electromagnetic waves.
FormulaWave equation for B-field $$ \nabla^2 \, \boldsymbol{B} ~=~ \mu_0 \, \varepsilon_0 \, \frac{\partial^2 \boldsymbol{B}}{\partial t^2} $$
FormulaWave equation for E-field $$ \nabla^2 \, \class{blue}{\boldsymbol{E}} ~=~ \mu_0 \, \varepsilon_0 \, \frac{\partial^2 \class{blue}{\boldsymbol{E}}}{\partial t^2} $$
LessonLevel 3 (for advanced students)Electromagnetic wave and its E-field and B-field components Here you will learnthe wave equations for the E-field and B-field of an electromagnetic wave and how it can be simplified to a plane wave.
Formula4. Maxwell equation (integral form) $$ \oint_{L} \class{violet}{\boldsymbol{B}} ~\cdot~ \text{d}\boldsymbol{l} ~=~ \mu_0 \, \class{red}{I} ~+~ \int_{A} \frac{\partial \class{blue}{\boldsymbol{E}}}{\partial t} ~\cdot~ \text{d}\boldsymbol{a} $$
Formula3. Maxwell equation (differential form) $$ \nabla \times \class{blue}{\boldsymbol{E}} ~=~ -\frac{\partial \class{violet}{\boldsymbol{B}}}{\partial t} $$
Formula3. Maxwell equation (integral form) $$ \oint_{L} \class{blue}{\boldsymbol{E}} ~\cdot~ \text{d}\boldsymbol{l} ~=~ -\int_{A} \frac{\partial \class{violet}{\boldsymbol{B}} }{\partial t} ~\cdot~ \text{d}\boldsymbol{a} $$
Formula2. Maxwell equation (differential form) $$ \nabla \cdot \class{violet}{\boldsymbol{B}} ~=~ 0 $$
Formula2. Maxwell equation (integral form) $$ \oint_A \class{violet}{\boldsymbol{B}} ~\cdot~ \text{d}\boldsymbol{a} ~=~ 0 $$
Formula1. Maxwell equation (differential form) $$ \nabla ~\cdot~ \class{blue}{\boldsymbol{E}} ~=~ \frac{\class{red}{\rho}}{\varepsilon_0} $$
