Electric Field of Continuously Distributed Charges
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Questions and Answers

How do we calculate the electric field when charges are continuously distributed over a region of space?

  • By averaging the charges in the region
  • By taking the charges as a whole
  • By breaking up the region into small pieces and treating each piece as a point charge (correct)
  • By ignoring the distribution and treating all charges as point charges
  • In what limit can the total electric field be written as an integral for continuously distributed charges?

  • When the pieces are infinitesimally small (correct)
  • When the charges are uniform
  • When the pieces are randomly distributed
  • When the pieces are large enough to be visible
  • What is the charge density for linear charge distribution?

  • $dq/dV$
  • $dA/dq$
  • $dq/ds$ (correct)
  • $dq/dA$
  • How is surface charge distribution characterized?

    <p>$dq/dA$</p> Signup and view all the answers

    For volume charge distribution, what does the symbol $\rho$ represent?

    <p>Volume charge density</p> Signup and view all the answers

    When working out the electric field from a continuous charge distribution, what is considered in the calculation?

    <p>$dq/dV$ and $dq/dA$</p> Signup and view all the answers

    What does the flux of a vector field measure?

    <p>Flow or penetration of field vectors through an imaginary fixed surface</p> Signup and view all the answers

    Which component of the electric field is non-cancelling for a wire along the -axis?

    <p>Component along the y-axis</p> Signup and view all the answers

    What is the arc length that does not depend on z or ?

    <p>$2$</p> Signup and view all the answers

    What is the magnitude of the electric field for a small charge with a magnitude of $1.44$ at a distance $R$ in the z direction?

    <p>$rac{1.44}{R^2}$</p> Signup and view all the answers

    What concept is used to determine the electric field at a distance from a wire?

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

    What is the formula for calculating flux through a surface?

    <p>$ ext{Flux} = rac{EA}{G}$</p> Signup and view all the answers

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