Question types

Electrostatics question types

220 questions across 4 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

220
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4
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Sample Questions

Electrostatics questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The potential energy of a dipole iii a uniform electric held $\vec{E}$ is minimum when the dipole moment is
  • A
    transverse to $\vec{E}$
  • parallel to $\vec{E}$
  • C
    antiparallel to $\vec{E}$
  • D
    either parallel or antiparallel to $\vec{E}$.

Answer: B.

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The figure shows three capacitors $C_1 C_2$ and $C_3$. The dashed lines are equipotential surfaces within each capacitor. In which of the capacitors is the po. between the two equipotentials $\Delta V =50 V$ ?

Image

  • A
    Only in $C_1$
  • B
    Only in $C _1$ and $C _2$
  • C
    Only in $C _3$
  • In all three capacitors

Answer: D.

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In the diagram, $\vec{E}$ is a uniform electric field. Point $B$ is to the west of point $A$ while point $C$ is to the east and point $D$ is to the south. Which of the following is correct?

Image

  • A
    $V_B>V_A>V_C$
  • B
    $V_B<V_A<V_C$
  • $V_B=V_C$
  • D
    $V_D=V_A$

Answer: C.

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The intensity of electric field at a point clone but outside a charged conducting cylinder is proportional to

[r is the distance of the point from the axis of the cylinder]

  • $\frac{1}{r}$
  • B
    $\frac{1}{r^2}$
  • C
    $\frac{1}{r^3}$
  • D
    $r$.

Answer: A.

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If the charge on a capacitor is $2 \mu C$ and the potential difference across the conductors forming the capacitor is $100 V$, what is the electrostatic energy stored in the capacitor?
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If we apply a large enough electric field, we can ionize the atoms and create a condition for electric charge to flow like a conductor. The fields required for the breakdown of dielectric is called dielectric strength.
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(1) If there are n parallel plates then there will be $(n-1)$ capacitors, hence
$
C=(n-1) \frac{A \varepsilon_0}{d}
$
(2) For a spherical capacitor, consisting of two concentric spherical conducting shells with inner and outer radii as $a$ and $b$ respectively, the capacitance $C$ is given by $C=4 \pi \varepsilon_0\left(\frac{a b}{b-a}\right)$
(3) For a cylindrical capacitor, consisting of two coaxial cylindrical shells with radii of the inner and outer cylinders as $a$ and $b$, and length $I$, the capacitance $C$ is given by
$
C=\frac{2 \pi \varepsilon_0 \ell}{\log _e \frac{b}{a}}
$
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In a parallel plate capacitor with air between the plates, each plate has an area of $6 \times 10^{-3}\ m^2$​​​​​​​ and the separation between the plates is $2 mm$.
i) Calculate the capacitance of the capacitor.
ii) If this capacitor is connected to $100\ V$ supply, what would be the charge on each plate?
iii) How would charge on the plates be affected if a $2$ mm thick mica sheet of $k = 6$ is inserted between the plates while the voltage supply remains connected ?
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