Electromagnetic Waves and Vector Fields Quiz

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Questions and Answers

Which of the following best describes an irrotational or conservative vector field function?

  • The curl of the function is zero (correct)
  • The gradient of the function is zero
  • The divergence of the function is zero
  • The Laplacian of the function is zero

Which of the following best describes an incompressible vector field function?

  • The gradient of the function is zero
  • The Laplacian of the function is zero
  • The curl of the function is zero
  • The divergence of the function is zero (correct)

Which of the following equations represents Gauss's Law for magnetism?

  • $\nabla \times B = \mu_0 J$
  • $\nabla \cdot E = 0$
  • $\nabla \cdot B = 0$ (correct)
  • $\nabla \times E = -\frac{\partial B}{\partial t}$

Which of the following equations represents Faraday's Law?

<p>$\nabla \times E = -\frac{\partial B}{\partial t}$ (A)</p>
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Which of the following equations represents Ampere's Law?

<p>$\nabla \times B = \mu_0 J$ (D)</p>
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Which of the following equations represents the curl of a vector field function being zero?

<p>$\nabla \times F = 0$ (B)</p>
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Which of the following equations represents the divergence of a vector field function being zero?

<p>$\nabla \cdot F = 0$ (C)</p>
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Which of the following equations represents Gauss's Law for magnetism?

<p>$\rho \nabla \cdot E = \epsilon_0 \nabla \cdot B$ (D)</p>
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Which of the following equations represents Faraday's Law?

<p>$\nabla \times E = -\frac{\partial B}{\partial t}$ (A)</p>
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Which of the following best describes the concept of displacement current?

<p>The flow of current through a capacitor (A)</p>
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