List of top Physics Questions on Electrostatics asked in WBJEE

Consider a particle of mass 1 gm and charge 1.0 Coulomb at rest. Now the particle is subjected to an electric field \( E(t)=E_0\sin\omega t \) in the x-direction, where \( E_0=2 \) N/C and \( \omega=1000 \) rad/sec. The maximum speed attained by the particle 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:

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

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 \(\beta\).
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?