Solve the following.
Name a device where this principle is used.
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Electrostatic Potential, Potential Energy and Capacitance - ISC Class 12 Physics Questions with Answers, Page 2
46 past-paper questions on Electrostatic Potential, Potential Energy and Capacitance from ISC Class 12 Physics papers (2027-2018), newest first, in full. Questions 21-40 are on this page, 20 to a page. Tap "Show answer" under a question to see its answer.
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Answer the following.
(a)[1.0]
Three identical point charges, each equal to Q, are situated at the three vertices of an equilateral triangle MNO, having each side equal to $l$. How much electrostatic potential energy is stored in this system?
(b)[1.0]
An electric dipole lies in a uniform electric field. When is torque acting on the dipole maximum?
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Answer the following.
(a)[1.0]
What is the effect on capacitance of a parallel plate capacitor if the distance between its plates is increased?
(b)[1.0]
How will capacitance of a capacitor change if a dielectric slab is introduced between its plates?
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Solve the following.
Calculate the electric field between the plates.
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Answer the following.
In an electric dipole, what is the locus of a point having zero potential?
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Derive the following.
Obtain an expression for equivalent capacitance C when three capacitors $C_1$, $C_2$ and $C_3$ are connected in series.
Given: Three capacitors $C_1$, $C_2$ and $C_3$ connected in series across a potential difference V
To show: $\frac{1}{C} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}$
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Solve the following.
Calculate equivalent capacitance of the circuit shown in Figure 1 given below:
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Answer the following.
What is meant by an equipotential surface?
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Answer the following.
Three point charges of $50\text{ nC}$ each are kept at the vertices of an equilateral triangle having each side $= 3\text{ m}$. Calculate electrostatic potential energy of the system.
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Answer the following.
You are provided with many identical capacitors each of capacitance $100\,\mu\text{F}$. How will you connect a minimum number of them to obtain a capacitance of $75\,\mu\text{F}$? Draw a diagram in support of your answer.
Draw: circuit diagram showing connection of identical capacitors to obtain 75 μF
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Answer the following.
In an electric dipole, what is the locus of a point having zero potential?
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Solve the following.
Calculate electric potential at a point P which is at a distance of $9\text{ cm}$ from a point charge of $50\mu\text{C}$.
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Choose the correct option.
Three capacitors $C_1 = 3\ \mu\text{F}$, $C_2 = 6\ \mu\text{F}$ and $C_3 = 10\ \mu\text{F}$ are connected to a $50\text{ V}$ battery as shown in the figure below:
The equivalent capacitance of the circuit between point A and B and the charge on $C_1$ are…
- (a)$12\ \mu\text{F},\ 150\text{ C}$
- (b)$4.75\ \mu\text{F},\ 100\text{ C}$
- (c)$12\ \mu\text{F},\ 100\text{ C}$
- (d)$4.75\ \mu\text{F},\ 150\text{ C}$
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Choose the correct option.
An electric dipole of moment $\vec{p}$ is placed in a uniform electric field $\vec{E}$. It has maximum (negative) potential energy when the angle between $\vec{p}$ and $\vec{E}$ is:
- (a)$\frac{\pi}{2}$
- (b)Zero
- (c)$\pi$
- (d)$\frac{3\pi}{2}$
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Choose the correct option.
Three capacitors, each of capacitance C, are connected in series. Their equivalent capacitance is Cs. The same three capacitors are now connected in parallel. Their equivalent capacitance becomes Cp. The ratio of Cp to Cs is:
- (a)$9 : 1$
- (b)$1 : 9$
- (c)$3 : 1$
- (d)$1 : 3$
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Choose the correct option.
The charges $q_1 = 3\ \mu\text{F}$, $q_2 = 4\ \mu\text{F}$ and $q_3 = -7\ \mu\text{F}$ are placed on the circumference of a circle of radius $1.0\text{ m}$ as shown in the figure below. What is the value of charge $q_4$ placed on the same circle if the potential at the centre is?
- (a)$-4\ \mu\text{F}$
- (b)$-3\ \mu\text{F}$
- (c)$7\ \mu\text{F}$
- (d)$0$
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Choose the correct option.
Three equal charges of $5.0\ \mu\text{C}$ each, are placed at the three vertices of an equilateral triangle of side $5.0\text{ cm}$ each. The electrostatic potential energy of the system of charges is:
- (a)$13.5\text{ J}$
- (b)$17.5\text{ J}$
- (c)$27\text{ J}$
- (d)$15\text{ J}$
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Study the information given and answer the questions that follow.
A parallel plate capacitor of plate area $A = 600\text{ cm}^2$ and plate separation $d = 2.0\text{ mm}$ is connected to a dc source of $200\text{ V}$.
(i)[1.0]
What is the magnitude of the uniform electric field E between the plates?
- (a)$E = 1.0 \times 10^5\text{ V/m}$
- (b)$E = 1.0 \times 10^7\text{ V/m}$
- (c)$E = 0.5 \times 10^5\text{ V/m}$
- (d)$E = 0.5 \times 10^7\text{ V/m}$
(ii)[1.0]
What is the charge density $\sigma$ on any one of the two plates?
- (a)$\sigma = 8.85 \times 10^{-7}\text{ C/m}^2$
- (b)$\sigma = 8.85 \times 10^{-9}\text{ C/m}^2$
- (c)$\sigma = 4.45 \times 10^{-7}\text{ C/m}^2$
- (d)$\sigma = 4.45 \times 10^{-9}\text{ C/m}^2$
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Choose the correct option.
A point charge ‘q’ is kept at each of the vertices of an equilateral triangle having each side ‘a’. Total electrostatic potential energy of the system is:
- (a)$\left(\frac{1}{4\pi\varepsilon_0}\right) \frac{3q^2}{a^2}$
- (b)$\left(\frac{1}{4\pi\varepsilon_0}\right) \frac{3q}{a}$
- (c)$\left(\frac{1}{4\pi\varepsilon_0}\right) \frac{3q^2}{a}$
- (d)$\left(\frac{1}{4\pi\varepsilon_0}\right) \frac{3q}{a^2}$
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Answer the following.
A parallel plate capacitor is charged by a battery, which is then disconnected. A dielectric slab having dielectric constant (relative permittivity) K, is now introduced between its two plates in order to occupy the space completely.
State, in terms of K, its effect on the following:
(i)[1.0]
The capacitance of the capacitor.
(ii)[1.0]
The potential difference between its plates.
(iii)[1.0]
The energy stored in the capacitor.
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