Electrostatics

A proton and an electron are placed in the same uniform electric field. Which of the following is true?

The magnitude of electric field intensity $E$ at a distance $r$ from an infinite line of charge with linear charge density $λ$ is:

The work done in rotating an electric dipole from $\theta = 0^{\circ}$ to $\theta = 90^{\circ}$ in a uniform electric field $E$ is:

When a glass rod is rubbed with silk, the glass rod acquires:

Two point charges $+q$ and $-q$ are placed at the vertices $B$ and $C$ of an equilateral triangle $ABC$ of side $a$. What is the magnitude of the resultant electric field at the vertex $A$?

A unit positive charge experience a force of $2 \times 10^{-3}\, N$ when placed in an electric field. The intensity of the electric field is:

Electric field lines provide information about:

A charge $Q$ is divided into two parts $q$ and $Q-q$. For what value of $q$ is the electrostatic force between the two parts maximum for a given separation?

Two point charges are separated by a distance $r$. If a dielectric slab of thickness $t < r$ and dielectric constant $K$ is inserted between them, the new force $F'$ compared to the original force $F$ is:

A thin spherical shell of radius $R$ has a uniform surface charge density $\sigma$. A point charge $q$ is placed at the center. The net force on a small area element $\Delta S$ of the shell is:

In a medium of dielectric constant $K$, Gauss's law is written as:

If a closed surface encloses an electric dipole, the net electric flux through it is:

The mathematical form of Gauss's Law is:

When a charge is placed at the center of a hemisphere, the flux through the flat base is:

Consider two nested Gaussian surfaces $S_1$ and $S_2$ where $S_1$ is located entirely inside $S_2$. The charges enclosed within $S_1$ are $q_1 = +10 \mu C$ and $q_2 = -2 \mu C$. A third point charge $q_3 = +4 \mu C$ is placed in the region between $S_1$ and $S_2$. What is the ratio of the net electric flux through $S_1$ to the net electric flux through $S_2$?

The total flux through a closed surface containing a charge $q$ is $\Phi$. If a second charge $-q$ is brought outside the surface, the total flux becomes:

Which of the following surfaces would be most convenient to calculate the electric field of a uniformly charged infinite plane sheet using Gauss's Law?

A point charge $Q$ is located at the center of a cube. If the cube is expanded to twice its side length, the electric flux through each face will:

A non-conducting shell of radius $R$ has a surface charge density $\sigma = \sigma_0 \cos\theta$. The total flux through the sphere is:

Three infinite parallel plates have surface charge densities $\sigma, -2\sigma, \sigma$. The electric field in the space between the first two plates is:

Potential difference between two points represents the change in:

If the electric potential is uniform throughout a region of space, the electric field in that region must be:

The potential energy of two electrons separated by a distance $r$ is:

The angle between an equipotential surface and the electric field lines is always:

The electric potential $V$ at any point $(x, y, z)$ in space is given by $V = 3x^2$. The electric field at point $(1, 0, 2)$ is:

Two charges $+q$ and $-3q$ are placed at a distance $L$ apart. At what distance from $+q$ is the potential zero on the line joining them (between the charges)?

The work done in bringing a charge $q$ from infinity to the center of a dipole is:

The work done in moving a charge $q$ once around a circle of radius $r$ with a charge $Q$ at the center is:

The electric potential at a point $(x, y)$ is given by $V = -kxy$. The electric field lines are:

Equipotential surfaces associated with a uniform electric field along the z-axis are:

One microfarad is equal to:

If $C_1, C_2, ... C_n$ are in parallel, the total charge $Q$ is:

The value of capacitance depends on:

Which of the following is an example of a polar dielectric?

When two capacitors are connected in series, the quantity that remains the same for both is:

If we want to construct a $1 \text{ F}$ parallel plate capacitor with a plate separation of $1 \text{ mm}$ using air as dielectric, the area of the plates required would be approximately:

The energy stored per unit volume in a medium of dielectric constant $K$ where the electric field is $E$ is:

The torque acting on an electric dipole of moment $p$ placed in a uniform electric field $E$ of a capacitor is:

A capacitor with plate area $A$ has a dielectric slab of constant $K$ filling half the area. The capacitance is:

A variable capacitor is connected to a $100 V$ battery. If its capacitance is changed from $2 \mu F$ to $10 \mu F$, the energy change is: