A point charge is situated at an axial point of a small electric dipole at a large distance from it. The charge experiences a force F. If the distance of the charge is doubled, the force acting on the charge will become:
Question types
Electrostatic Potential and Capacitance question types
557 questions across 8 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
557
Questions
8
Question groups
5
Question types
01
M.C.Q (1 Marks)
276 Q→02Assertion (A) & Reason (B) MCQ
20 Q→031 Marks Question
49 Q→042 Marks Questions
64 Q→053 Marks Question
70 Q→064 Marks Questions
15 Q→075 Marks Questions
62 Q→08Fill in the blanks.
1 Q→Sample Questions
Electrostatic Potential and Capacitance questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
View full solution →
An electric dipole consisting of charges +q and -q separated by a distance L is in stable equilibrium in a uniform electric field $\vec{\text{E}}.$ The electrostatic potential energy of the dipole is:
View full solution →The electrostatic potential due to a point charge is inversely proportional to:
The equivalent capacitance of the combination shown in figure is:
In a region, the potential is represented by V(x, y, z) = 6x - 8xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is:
For two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
Reason (R): Electric potential is a vector quantity.
- Both A and R are true, and R is the correct explanation of A.
- Both A and R are true, but R is not the correct explanation of A.
- A is true, but R is false.
- A is false, and R is also false.
Reason (R): Electric potential is a vector quantity.
For two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
Reason (R): Conductor allows the flow of charge.
- Both A and R are true, and R is the correct explanation of A.
- Both A and R are true, but R is not the correct explanation of A.
- A is true, but R is false.
- A is false, and R is also false.
Reason (R): Conductor allows the flow of charge.
For two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
Reason (R): The energy stored in capacitor is dissipated in the form of heat energy.
- Both A and R are true, and R is the correct explanation of A.
- Both A and R are true, but R is not the correct explanation of A.
- A is true, but R is false.
- A is false, and R is also false.
Reason (R): The energy stored in capacitor is dissipated in the form of heat energy.
For two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
Reason (R): The total transfer of charge from one to another is not possible.
- Both A and R are true, and R is the correct explanation of A.
- Both A and R are true, but R is not the correct explanation of A.
- A is true, but R is false.
- A is false, and R is also false.
Reason (R): The total transfer of charge from one to another is not possible.
For two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
Reason (R): The dielectric medium reduces the potential difference between the plates of the condenser.
- Both A and R are true, and R is the correct explanation of A.
- Both A and R are true, but R is not the correct explanation of A.
- A is true, but R is false.
- A is false, and R is also false.
Reason (R): The dielectric medium reduces the potential difference between the plates of the condenser.
Answer carefully:
What meaning would you give to the capacitance of a single conductor?
What meaning would you give to the capacitance of a single conductor?
Answer carefully:
A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?
A small test charge is released at rest at a point in an electrostatic field configuration. Will it travel along the field line passing through that point?
Answer the following:
The top of the atmosphere is at about $400kV$ with respect to the surface of the earth, corresponding to an electric field that decreases with altitude. Near the surface of the earth, the field is about $100Vm^{–1}$. Why then do we not get an electric shock as we step out of our house into the open? $($Assume the house to be a steel cage so there is no field inside!$)$
View full solution →The top of the atmosphere is at about $400kV$ with respect to the surface of the earth, corresponding to an electric field that decreases with altitude. Near the surface of the earth, the field is about $100Vm^{–1}$. Why then do we not get an electric shock as we step out of our house into the open? $($Assume the house to be a steel cage so there is no field inside!$)$
Answer carefully:
Guess a possible reason why water has a much greater dielectric constant (= 80) than say, mica (= 6).
Guess a possible reason why water has a much greater dielectric constant (= 80) than say, mica (= 6).
Answer carefully:
If Coulomb’s law involved $\frac{1}{\text{r}^{3}}$ dependence $(\text{instead of}\ \frac{1}{\text{r}^{2}})$, would Gauss’s law be still true?
View full solution →If Coulomb’s law involved $\frac{1}{\text{r}^{3}}$ dependence $(\text{instead of}\ \frac{1}{\text{r}^{2}})$, would Gauss’s law be still true?
Two charges 2 µC and –2 µC are placed at points A and B 6 cm apart.
- Identify an equipotential surface of the system.
- What is the direction of the electric field at every point on this surface?
In a Van de Graaff type generator a spherical metal shell is to be a $15 \times 10^6V$ electrode. The dielectric strength of the gas surrounding the electrode is $5 \times 10^7Vm^{–1.}$ What is the minimum radius of the spherical shell required? $($You will learn from this exercise why one cannot build an electrostatic generator using a very small shell which requires a small charge to acquire a high potential.$)$
View full solution →A small sphere of radius $r_1$ and charge $q_1$ is enclosed by a spherical shell of radius $r_2$ and charge $q_2.$ Show that if $q_1$ is positive, charge will necessarily flow from the sphere to the shell $($when the two are connected by a wire$)$ no matter what the charge $q_2$ on the shell is.
View full solution →Three capacitors each of capacitance 9 pF are connected in series.
- What is the total capacitance of the combination?
- What is the potential difference across each capacitor if the combination is connected to a 120 V supply?
Answer the following:
The discharging current in the atmosphere due to the small conductivity of air is known to be 1800A on an average over the globe. Why then does the atmosphere not discharge itself completely in due course and become electrically neutral? In other words, what keeps the atmosphere charged?
The discharging current in the atmosphere due to the small conductivity of air is known to be 1800A on an average over the globe. Why then does the atmosphere not discharge itself completely in due course and become electrically neutral? In other words, what keeps the atmosphere charged?
- Find equivalent capacitance between A and B in the combination given below. Each capacitor is of 2 μF capacitance.
- If a dc source of 7 V is connected across AB, how much charge is drawn from the source and what is the energy stored in the network?
A parallel plate capacitor with air between the plates has a capacitance of $8 pF (1pF = 10^{–12}F).$ What will be the capacitance if the distance between the plates is reduced by half, and the space between them is filled with a substance of dielectric constant $6?$
View full solution →A spherical conductor of radius $12 \ cm$ has a charge of $1.6 \times 10–7C$ distributed uniformly on its surface. What is the electric field:
View full solution →- Inside the sphere
- Just outside the sphere
- At a point $18 \ cm$ from the centre of the sphere?
A spherical capacitor consists of two concentric spherical conductors, held in position by suitable insulating supports $(2.36).$ Show
that the capacitance of a spherical capacitor is given by $\text{C}=\frac{{4}\pi\epsilon_{0}\text{r}_1\text{r}_2}{\text{r}_1-\text{r}_2}$ where $r_1$ and $r_2$ are the radii of outer and inner spheres, respectively.
View full solution →that the capacitance of a spherical capacitor is given by $\text{C}=\frac{{4}\pi\epsilon_{0}\text{r}_1\text{r}_2}{\text{r}_1-\text{r}_2}$ where $r_1$ and $r_2$ are the radii of outer and inner spheres, respectively.
If one of the two electrons of a $H_2$ molecule is removed, we get a hydrogen molecular ion $\text{H}^+_2.$ In the ground state of an $\text{H}^+_2,$ the two protons are separated by roughly $1.5 \mathring A ,$ and the electron is roughly $1 \mathring A$ from each proton. Determine the potential energy of the system. Specify your choice of the zero of potential energy.
View full solution →The mean free path of electrons in a gas in a discharge tube is inversely proportional to the pressure inside it. The Crookes dark space occupies half the length of the discharge tube when the pressure is 0.02mm of mercury. Estimate the pressure at which the dark space will fill the whole tube.
Consider the situation shown in figure. The width of each plate is b. The capacitor plates are rigidly clamped in the laboratory and connected to a battery of emf $\epsilon.$ All surfaces are frictionless. Calculate the value of M for which the dielectric slab will stay in equilibrium.
View full solution →Calculate $\frac{\text{n(T)}}{\text{n}(1000\text{K})}$ for tungsten emitter at T = 300K, 2000K and 3000K, where n(T) represents the number of thermions emitted per second by the surface at temperature T. Work function of tungsten is 4.52eV.
View full solution →A tungsten cathode and a thoriated-tungsten cathode have the same geometric dimensions and are operated at the same temperature. The thoriated-tungsten cathode gives 5000 times more current than the other cathode. Find the operating temperature. Take relevant data from the previous problem.
The saturation current from a thoriated$-$tungsten cathode at $2000K$ is $100mA.$ What will be the saturation current for a pure$-$tungsten cathode of the same surface area operating at the same temperature? The constant $A$ in the Richardson$-$Dushman equation is $60 \times 10^4Am^{-2}K^{-2}$ for pure tungsten and $3.0 \times 10^4Am^{-2}k^{-2}$ for thoriated tungsten. The work function of pure tungsten is $4.5eV$ and that of thoriated tungsten is $2.6eV.$
View full solution →A $600pF$ capacitor is charged by a $200V$ supply. It is then disconnected from the supply and is connected to another uncharged $600 pF$ capacitor. How much electrostatic energy is lost in the process?
View full solution →Two charges $5 \times 10^{–8} C$ and $–3 \times 10^{–8} C$ are located $16 \ cm$ apart. At what point $(s)$ on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
View full solution →Show that the force on each plate of a parallel plate capacitor has a magnitude equal to $\frac{1}{2}$ QE, where Q is the charge on the capacitor, and E is the magnitude of electric field between the plates. Explain the origin of the factor $\frac{1}{2}$.
View full solution →A cube of side b has a charge q at each of its vertices. Determine the potential and electric field due to this charge array at the centre of the cube.
Figure shows a charge array known as an electric quadrupole. For a point on the axis of the quadrupole, obtain the dependence of potential on r for r/a >> 1, and contrast your results with thatdue to an electric dipole, and an electric monopole (i.e., a single charge).
The maximum value of electric field that a dielectric medium can tolerate without its electric breakdown is called ____________ of the medium.
Generate a Electrostatic Potential and Capacitance paper free
Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.