Electromagnetic Theory Quiz
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Questions and Answers

Which equations describe the Maxwell electromagnetic equations in integral form?

  • $\nabla \cdot \textbf{E} = \frac{\rho}{\varepsilon_0}$ 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)

What is the physical significance of the Maxwell equations?

  • 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

What is the Ampere Circuital Law?

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

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