List of top Physics Questions on Electrostatic potential asked in AP EAPCET

Two conducting thin concentric shells of radii $r$ and $2r$ are shown. Outer shell carries a charge Q. Inner shell is neutral. The charge that will flow from the inner shell to earth after closing the switch $s$ is: figure [H]

figure

The electric potential at a distance $r$ from a point charge $q$ is proportional to

Let \(V_1\) be the potential at the center of the square of side \(1\text{ m}\) when the charges at the \(4\) corners are \(2\text{ C}\) each. If the same charges are placed at the corners of a square of side \(2\text{ m}\), then the potential at the center of this square is \(V_2\). The value of \(\frac{V_2}{V_1}\) is

In a space having electric field \[ \vec{E}=A(x\hat{i}+y\hat{j}) \] the potential at a point \((10\,m,20\,m)\) is zero, then the potential at the origin is
\[ [A=10\,Vm^{-2}] \]

Electric potential due to a space is given by \[ \phi(x,y,z)=\phi_0\frac{x_0}{x} \] when \(x_0=5\,m\) and \(\phi_0=8\,V\). Find the electric field at \((10\,m,5\,m,5\,m)\)

Assertion (A): In a region of constant potential, the electric field is zero and there can be no charge inside the region.
Reason (R): According to Gauss law, charge inside the region should be zero if electric field is zero.

Statement (A): Inside a charged hollow metal sphere, \(E=0,\;V\neq0\). (\(E\) - electric field, \(V\) - electric potential)
Statement (B): The work done in moving a positive charge on an equipotential surface is zero.
Statement (C): When two like charges are brought closer, their mutual electrostatic potential energy will increase.

The work done in assembling three charged particles A, B and C of charges \(2 \times 10^{-5} C\), \(3 \times 10^{-5} C\) and \(4 \times 10^{-5} C\) respectively at the vertices of an equilateral triangle of side 10 cm is \([ \frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 ]\).

A spherical shell of radius \(R\) has charge \(Q\) uniformly distributed over its surface. The work done in this process is:

Two concentric circular arcs of radii 2 m and 3 m have linear charge densities \( \alpha \lambda \) and \( \lambda \) respectively as shown in the figure. The condition for the electric potential to vanish at the common center is (electric potential = 0 at infinity):

Currents flowing through two conductors of equal resistance produce 9 times more heat in the first conductor compared to the second one. The ratio of currents flowing through the first and second conductors is:

The electric potential at points along x-direction is given by \(V = (1.0~\text{V/m}^2) x^2\). The electric field at point \(x = 5.0~\text{m}\) on x-axis is:

Two charges \(q_1 = 4 \times 10^{-6}~\text{C}\) and \(q_2 = -2 \times 10^{-6}~\text{C}\) are separated by 8 cm. The distance of the point from \(q_1\) on the line joining the charges where the potential vanishes is:
(Potential at infinity is assumed to be zero)