List of top Physics Questions on Electrostatics

A capacitor has a capacitance of $ 5 \, \mu\text{F} $ and a potential difference of $ 10 \, \text{V} $ is applied across it. What is the charge on the capacitor?

A 10 $\mu\text{C}$ charge is placed in an electric field of $ 5 \times 10^3 \text{N/C} $. What is the force experienced by the charge?

A capacitor of capacitance 5 \(\mu\)F is charged to 100 V and then connected to an uncharged capacitor of 2 \(\mu\)F. What is the final potential difference across the capacitors?
Which of the following is the correct unit for electric charge?
A dust particle of mass 4 × 10⁻¹² mg is suspended in air under the influence of an electric field of 50 N/C directed vertically upwards. How many electrons were removed from the neutral dust particle? (g = 10 m/s²)
What is the unit of electric field?
Calculate the electric field at a point due to a uniformly charged spherical shell.
The electric field at a point on the axis of a uniformly charged ring of radius R at a distance x from its center is given by: \[ E = \frac{1}{4\pi\epsilon_0} \cdot \frac{2\pi kQx}{(x^2 + R^2)^{3/2}}. \] If x = 2R, what is the magnitude of the electric field?
Two identical charges $ q $ are placed 1 m apart. The electrostatic force between them is $ 9 \times 10^{-9} \, \text{N} $. What is the magnitude of each charge? (Take $ k = 9 \times 10^9 \, \text{Nm}^2/\text{C}^2 $)
A uniformly charged ring of radius \( R \) carries total charge \( Q \). Find the electric field at a point on the axis at a distance \( x = \frac{R}{\sqrt{2}} \) from the center.
Two charges of +3 μC and –3 μC are placed 2 cm apart in air. What is the electric potential energy of the system? (Take \( k = 9 \times 10^9 \) Nm\(^2\)/C\(^2\))
A bulb rated 60 W operates for 2 hours. How much energy does it consume in this time?
A parallel plate capacitor has a capacitance of \( 4 \, \mu\text{F} \). If the dielectric constant of the material between the plates is \( 5 \), what will be the new capacitance?
A capacitor is charged with a voltage of 100 V. If the capacitance of the capacitor is \( 10 \, \mu\text{F} \), what is the charge on the capacitor?
Consider the integral form of the Gauss's law in electrostatics:
\( \oint \oint \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0} \)
Which of the following statements are correct?
Three point charges \(q, -2q\), and \(q\) are placed along the \(x\)-axis at \(x = -a, 0,\) and \(a\), respectively. As \(a \to 0\) and \(q \to \infty\), while \(qa^2 = Q\) remains finite, the electric field at a point \(P\), at a distance \(x \gg a\) from \(x = 0\), is given by: \[\vec{E} = \frac{qQ}{4 \pi \epsilon_0 x^3} \hat{i}.\] Then, find the relationship between \(\alpha\) and \(\beta\).

The equivalent capacitance of a combination of connected capacitors shown in the figure between the points P and N is:
 

A charge \( Q \) is placed at the center of a cube of sides \( a \). The total flux of electric field through the six surfaces of the cube is:
A 12 pF capacitor is connected to a 50 V battery, the electrostatic energy stored in the capacitor in nJ is
A metal cube of side 5 cm is charged with 6 μC. The surface charge density on the cube is
A parallel plate capacitor has 1 \(\mu\)F capacitance. One of its two plates is given \(+2 \mu C\) charge and the other plate, \(+4 \mu C\) charge. The potential difference developed across the capacitor is:
Five charges \( +q, +5q, -2q, +3q \) and \( -4q \) are situated as shown in the figure. The electric flux due to this configuration through the surface S is: 
Five charges +q, +5q, −2q, +3q and
For a group of positive charges, which of the following statements is correct?
The resistivity (\( \rho \)) of a semiconductor varies with temperature. Which of the following curves represents the correct behavior? resistivity ( ρ ρ) of a semiconductor varies with temperature