Electromagnetic Theory Quiz

$\nabla \cdot \textbf{E} = \frac{\rho}{\varepsilon_0}$ and $\nabla \times \textbf{E} = -\frac{\partial \textbf{B}}{\partial t}$

$\nabla \cdot \textbf{E} = 0$ and $\nabla \times \textbf{E} = \mu_0\textbf{J} + \mu_0\varepsilon_0\frac{\partial \textbf{B}}{\partial t}$

$\nabla \cdot \textbf{B} = \frac{\rho}{\varepsilon_0}$ and $\nabla \times \textbf{B} = -\frac{\partial \textbf{E}}{\partial t}$

$\nabla \cdot \textbf{B} = 0$ and $\nabla \times \textbf{B} = \mu_0\textbf{J} + \mu_0\varepsilon_0\frac{\partial \textbf{E}}{\partial t}$ (correct)

They describe the behavior of gravitational waves

They describe the behavior of sound waves

They describe the behavior of charged particles in electric and magnetic fields (correct)

They describe the behavior of electromagnetic waves

$\nabla \cdot \textbf{B} = \frac{\rho}{\varepsilon_0}$ and $\nabla \times \textbf{B} = -\frac{\partial \textbf{E}}{\partial t}$

$\nabla \cdot \textbf{B} = 0$ and $\nabla \times \textbf{B} = \mu_0\textbf{J} + \mu_0\varepsilon_0\frac{\partial \textbf{E}}{\partial t}$

$\nabla \cdot \textbf{E} = 0$ and $\nabla \times \textbf{E} = -\frac{\partial \textbf{B}}{\partial t}$ (correct)

$\nabla \cdot \textbf{E} = \frac{\rho}{\varepsilon_0}$ and $\nabla \times \textbf{E} = -\mu_0\textbf{J}$