Electrostatic Potential and Capacitance Quiz Set-1

Question 1

Which of the following statements is true for an equipotential surface?

Accepted Answer

Work done in moving a charge from one point to another on the surface is zero.

Answer

Electric field lines are parallel to the equipotential surface.

Answer

Equipotential surfaces for a point charge are cylindrical.

Answer

Two equipotential surfaces can intersect each other.

Question 2

The electric potential $V$ at a distance $r$ from a point charge $q$ is given by:

Accepted Answer

$V = \frac{1}{4\pi\epsilon_0} \frac{q}{r}$

Answer

$V = \frac{1}{4\pi\epsilon_0} \frac{q}{r^2}$

Answer

$V = \frac{1}{4\pi\epsilon_0} q r$

Answer

$V = \frac{1}{4\pi\epsilon_0} \frac{q^2}{r}$

Question 3

A parallel plate capacitor has a capacitance of $C$. If the distance between the plates is halved, the new capacitance will be:

Accepted Answer

$2C$

Answer

$C/2$

Answer

$C/4$

Answer

$4C$

Question 4

The electrostatic potential energy of a system of two charges $q_1$ and $q_2$ separated by a distance $r$ in vacuum is:

Accepted Answer

$\frac{q_1 q_2}{4\pi\epsilon_0 r}$

Answer

$\frac{q_1 q_2}{4\pi\epsilon_0 r^2}$

Answer

$\frac{q_1 + q_2}{4\pi\epsilon_0 r}$

Answer

Zero

Question 5

Identify the physical quantity whose SI unit is $J C^{-1}$.

Accepted Answer

Electric Potential

Answer

Electric Flux

Answer

Electric Dipole Moment

Answer

Electric Field Intensity

Question 6

A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system:

Accepted Answer

Decreases by a factor of 2

Answer

Remains the same

Answer

Increases by a factor of 2

Answer

Increases by a factor of 4

Question 7

Twenty-seven drops of same size are charged at $220 V$ each. They combine to form a bigger drop. Calculate the potential of the bigger drop.

Accepted Answer

$1980 V$

Answer

$660 V$

Answer

$1320 V$

Answer

$1500 V$

Question 8

The electric potential at a point on the equatorial line of an electric dipole is:

Accepted Answer

Zero

Answer

Positive

Answer

Negative

Answer

Dependent on the distance

Question 9

Three capacitors each of capacitance $9 pF$ are connected in series. What is the total capacitance of the combination?

Accepted Answer

$3 pF$

Answer

$27 pF$

Answer

$9 pF$

Answer

$1 pF$

Question 10

Which material is used as a dielectric in capacitors to increase capacitance?

Accepted Answer

Mica

Answer

Copper

Answer

Aluminum

Answer

Silver

Question 11

If a dielectric slab of dielectric constant $K$ is introduced between the plates of a parallel plate capacitor completely filling the space, the capacitance becomes:

Accepted Answer

$K$ times

Answer

$1/K$ times

Answer

$K^2$ times

Answer

Unchanged

Question 12

The work done to move a charge of $2 C$ between two points with a potential difference of $5 V$ is:

Accepted Answer

$10 J$

Answer

$2.5 J$

Answer

$0.4 J$

Answer

$7 J$

Question 13

Electric field $E$ and Electric Potential $V$ are related as:

Accepted Answer

$E = -\frac{dV}{dr}$

Answer

$E = \frac{dV}{dr}$

Answer

$E = V 	imes r$

Answer

$V = E 	imes r^2$

Question 14

The capacitance of a spherical conductor of radius $R$ is proportional to:

Accepted Answer

$R$

Answer

$R^2$

Answer

$1/R$

Answer

$R^0$

Question 15

What is the angle between electric field lines and an equipotential surface?

Accepted Answer

$90^\circ$

Answer

$0^\circ$

Answer

$180^\circ$

Answer

$45^\circ$

Question 16

A $12 pF$ capacitor is connected to a $50 V$ battery. How much electrostatic energy is stored in the capacitor (in $J$)? Answer in scientific notation coefficient (e.g. if $1.5 	imes 10^{-8}$, answer 1.5).

Question 17

Two point charges $3 	imes 10^{-8} C$ and $-2 	imes 10^{-8} C$ are located 15 cm apart. At what distance (in cm) from the positive charge is the electric potential zero? (Take the point between the charges).

Question 18

A parallel plate capacitor has a capacitance of $8 pF$ with air between the plates. If the distance between plates is reduced by half and the space is filled with a medium of dielectric constant $K=6$, what is the new capacitance (in $pF$)?

Question 19

Calculate the work done (in Joules) in rotating an electric dipole of dipole moment $3 	imes 10^{-29} C m$ through $90^\circ$ from its stable equilibrium position in a uniform electric field of $10^4 N C^{-1}$. Answer in scientific notation coefficient $X$ where answer is $X 	imes 10^{-25}$.

Question 20

A regular hexagon of side $10 cm$ has a charge $5 \mu C$ at each of its vertices. Calculate the potential at the center of the hexagon (in Volts). Answer in scientific notation coefficient $X$ where answer is $X 	imes 10^6$.

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Electrostatic Potential and Capacitance Quiz Set-1

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What are the main topics covered in this Electrostatic Potential quiz?

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What formula is used for energy stored in a capacitor in these questions?

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Is the concept of Equipotential Surfaces important for exams?