Electric Flux and Vector Fields
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Questions and Answers

What does the flux of a vector field measure?

  • The flow or penetration of the field vectors through a surface (correct)
  • The magnitude of the field vectors
  • The direction of the field vectors
  • The density of the field vectors
  • For a uniform electric field normal to a surface of area A, what is the flux?

  • $0$
  • $rac{1}{A}$
  • $A$ (correct)
  • $A^2$
  • How is the electric field at any point on a sphere with charge at its center directed?

  • Perpendicular to the sphere's surface
  • Radially outwards (correct)
  • Radially inwards
  • In the tangential direction
  • What happens to the total electric flux leaving a closed surface when the charge enclosed by the surface increases?

    <p>The flux increases</p> Signup and view all the answers

    How is the total electric flux leaving a closed surface related to the charge enclosed by that surface?

    <p>It is directly proportional</p> Signup and view all the answers

    In terms of mathematics, how can Gauss's Law be expressed?

    <p>$ abla ullet E = rac{1}{ ext{epsilon-nought}} \rho$</p> Signup and view all the answers

    What law does the passage explain is equivalent to Coulomb's Law?

    <p>Gauss's Law</p> Signup and view all the answers

    When applying Gauss's Law to a sphere containing charge, what does it denote by 'q enclosed ε'?

    <p>Electric flux</p> Signup and view all the answers

    What does Gauss's Law state when applied to a hollow sphere with charges only on the surface?

    <p>There is no electric field inside the sphere.</p> Signup and view all the answers

    What is the total charge enclosed at any distance outside a hollow sphere with surface charges?

    <p>$rac{q}{4ε}$</p> Signup and view all the answers

    What is the suggested method to prove Gauss's Law according to the passage?

    <p>Show that for each little cube, Gauss's Law follows from Coulomb's Law.</p> Signup and view all the answers

    According to the passage, what happens to the electric field inside a hollow sphere with surface charges?

    <p>It becomes zero.</p> Signup and view all the answers

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