List of top Physics Questions on Electrostatic potential

Two charges $+6\,\mu\text{C}$ and $-3\,\mu\text{C}$ are placed at points $(-2.7\text{ cm},0)$ and $(2.7\text{ cm},0)$ respectively in an external electric field of $1.8\times10^5r^{-2}\,\text{NC}^{-1}$, where $r$ is the distance of a charge from the origin. Then the net electrostatic energy of the system of the two charges is:

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

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

A charge \(Q\) is placed at each corner of a cube of side \(r\). The potential at the centre of the cube is (\(ε_0\) = permittivity of free space)

If charge \(+q\) is taken from one point to another over an equipotential surface, then

Four electric charges \(+q\) , \(+q\) , \(-q\) , and \(-q\) are placed in order at the corners of a square of side '\(2r\)'. The electric potential at a point midway between the two negative charges is

Two equal positive charges each of value 'q' are placed at points A and B, where \(AB = 3x\). A third charge \(-3q\) is placed at point C at a distance \(x\) from A on AB. The potential energy of the system is nearly (\(ε_0\) = permittivity of free space)

'\(n\)' small spherical drops of the same size which are charged to 'V' volt each coalesce to form a single big drop. The potential of a big drop is

Two charges \(q_1\) and \(q_2\) are separated by a distance of 30cm. A third charge \(q_3\) initially at point C is shown in figure, is moved along the circular path of radius 40 cm from C to D. If the difference in potential energy due to movement of \(q_3\) from C to D is \(q_3k/4πε_0\), the value of K is (\(ε_0\) = permittivity of free space)

Two point charges \(q_1 = 6 μ\text{C}\) and \(q_2 = 4 μ\text{C}\) are kept at points A and B in air where distance \(AB = 10\) cm. What is the increase in potential energy of the system when \(q_2\) is moved towards \(q_1\), by 2 cm ? \((\frac{1}{4πε_0} = 9\times 10^9 \text{SI units})\)

The electric potential at the center of two concentric half rings of radii \(R_1\) and \(R_2\), having same linear charge density \(λ\) is (\(ε_0\) = permittivity of free space)

Following figure indicates the electric potential V as a function through 4 regions on x-axis. Which of the following is correct for the electric field E in these regions?

Two isolated metallic spheres of radii \(R\) and \(2R\) are charged such that both have the same charge density \(σ\). The spheres are then connected by a thin conducting wire. If the new charge density of the larger sphere is \(σ_1\). The ratio \(σ_1\) to \(σ\) is

Which of the following statements is NOT TRUE?
a. Work done to move a charge on an equipotential surface is not zero.
b. Equipotential surfaces are the surfaces where the potential is constant.
c. Equipotential surfaces for a uniform electric field are parallel and equidistant from each other.
d. Electric field is always perpendicular to an equipotential surface.

Calculate the work done in moving a charge of \(2\mu C\) between two points with a potential difference of \(5V\).

Two positive charges of +Q each are placed at the corners A and B of an equilateral triangle ABC of side R. The net electric potential at C, in terms of K is (\(K = \frac{Q}{4\pi\epsilon_0 R}\))

ત્રિજ્યા \( R \) અને કુલ આધાન \( +Q \)વાળા સ્થિર સમાન રીતે ચાર્જિત ઇન્સ્યુલેટિંગ ગોળાને ધ્યાનમાં લો. દ્રવ્યમાન \( m \)વાળો પોઇન્ટ ચાર્જ \( -q \) (\( q \ll Q \)) કેન્દ્રથી 3R દૂરથી આરામની સ્થિતિમાં મુક્ત કરવામાં આવે છે. જ્યારે પોઇન્ટ ચાર્જ ગોળાની સપાટી પર પહોંચે છે, તેની ઝડપ છે:

A hollow metal sphere of radius \(r\) contains a charge \(+Q\). Consider an imaginary circle of radius \(R\,(R\gt r)\) concentric with the charged sphere. A point charge \(q\) is carried from (I) \(A\) to \(B\) and then from (II) \(A\) to \(C\). Choose the correct answer from the given alternatives.

An infinite line charge of uniform linear charge density $\lambda$ is placed along the $z$-axis. The work done in moving a charge $q$ from $(a,\,0,\,0)$ to $(2a,\,0,\,0)$ is:

Two point charges $+q$ and $-q$ are held fixed at a distance $d$ apart. The net electric potential at a point midway between the two charges and its net field are?

A uniform electric field of $5 \times 10^3\text{ N C}^{-1}$ is maintained in the positive Y-direction. Now a point charge of $2 \times 10^{-4}\text{ C}$ at rest is released from the origin. The kinetic energy attained by the charge when it is at a distance of $5\text{ m}$ from the origin is:

The distance between the centres of two identical solid spheres each of radius 5 cm kept in free space is 40 cm. If each one is holding a charge of $2,\mu C$, then the work done in bringing their centres to a separation of 30 cm is

If the potential difference between two points separated by a distance in a uniform electric field of 800 \(NC^{-1}\) is 16 V, then the distance of separation (in cm) is.

If the electric potential is given by $V = 3x^2 + 4x$ volt, then the magnitude of the electric field at the point $x = 1m$ is

Three-point charges \( Q \), \( q \), and \( -q \) are kept at the vertices of an equilateral triangle of side \( L \). What is the total electrostatic potential energy of the system?