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Electrostatic Potential and Capacitance Physics - Electrostatic Potential and Capacitance

CBSE - STD 12 Science - Physics (CBSE - English Medium). 193 questions in this chapter.

Question types

Electrostatic Potential and Capacitance question types

193 questions across 7 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

193
Questions
7
Question groups
5
Question types
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.

Q 1M.C.Q (1 Marks)1 Mark
A point P is situated on the axis of an electric dipole at a distance x from its mid-point, the electric potential at point P is proportional to:
  • ✓
    $\frac{1}{x^2}$
  • B
    $\frac{1}{x^3}$
  • C
    $\frac{1}{x^4}$
  • D
    $\frac{1}{x^{1 / 2}}$

Answer: A.

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Q 2M.C.Q (1 Marks)1 Mark
The electric potential (V) inside a uniformly charged. spherical shell depends on distance:
  • A
    $V \propto r$
  • ✓
    $V =$ constant
  • C
    $V \propto \frac{1}{r}$
  • D
    $V \propto \frac{1}{r^2}$

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark
A capacitor of capacitance C and the other of capacitance $C / 2$ are connected to a battery of V volt as shown in the figure. The work done in charging both the capacitors fully is :
Image
  • ✓
    $\frac{3}{4} CV ^2$
  • B
    $\frac{1}{2} CV ^2$
  • C
    $\frac{1}{4} CV ^2$
  • D
    $2 CV ^-2$

Answer: A.

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Q 4M.C.Q (1 Marks)1 Mark
The uniform field between the plates of a parallel plate capacitor is E volt/meter. If the distance between the plates is $d ( m )$ and the area of each plate is $A \left( m ^2\right)$, then the total energy stored in it is :
  • ✓
    $\frac{1}{2} \epsilon_0 E ^2 A d$
  • B
    $\frac{ E ^2 A d}{\epsilon_0}$
  • C
    $\frac{1}{2} \epsilon_0 E^2$
  • D
    $\epsilon_0 AE d$

Answer: A.

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Q 5M.C.Q (1 Marks)1 Mark
Several capacitors marked $(8 \mu F-250 V)$ have been given. The minimum number of capacitors required to obtain an equivalence of ( $16 \mu F-1000 V$ ) from them will be:
  • A
    4
  • B
    16
  • ✓
    32
  • D
    64

Answer: C.

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Q 81 Marks Question1 Mark
Write the value of the electric potential at the distance r from the centre of the dipole on the axis of the electric dipole of dipole moment p.
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Q 91 Marks Question1 Mark
In Millikan's experiment, $-6.4 \times 10^{-19}$ Coulomb charge is found on a charged drop, then write the number of electrons in that charged drop.
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Q 112 Marks Questions2 Marks
If five capacitors $C_1, C_2, C_3, C_4, C_5$ are connected in an electric circuit as shown in the figure, then calculate the equivalent capacitance of this network between point $A$ and point $B$.
Image
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Q 122 Marks Questions2 Marks
Two capacitors of capacitance $3 \mu F$ and 4 $\mu F$ are charged separately from a 6 V battery. When the battery is removed, they get connected to each other. In which the negative plate of one capacitor is connected to the positive plate of the other. Calculate the total final energy.
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Q 132 Marks Questions2 Marks
A parallel plate capacitor is charged with a potential difference 50 V . Thereafter it is discharged by a resistor for 2 sec , due to which its potential decreases by 10 V . Calculate the portion of energy stored in the capacitor.
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Q 142 Marks Questions2 Marks
Three circuits, each consisting of a switch ' S ' and two capacitors, are initially charged as shown in the figure. In which circuit, when the switch is closed, the charge on the given capacitor will (i) increase, (ii) decrease and (iii) remain unchanged? Give reason.
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Q 152 Marks Questions2 Marks
X and Y are two parallel plate capacitors, whose plates have the same area and the same distance between them. There is air between the plates of $X$ and a dielectric material of dielectric constant $k=5$ between the plates of $Y$ (in the figure). (a) Calculate the potential diffe-rence between the plates X and Y . (b) What is the ratio of electrical potential energies stored in X and Y ?
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Q 163 Marks Question3 Marks
A small conducting sphere (radius r ) is placed concentrically inside a larger conducting hollow sphere of radius $R$. The big and small spheres are charged with $Q$ and $q(Q>q)$ respectively and kept separate from each other. Calculate the potential difference between the spheres.
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Q 173 Marks Question3 Marks
Write the product of equivalent capacitances when 10 capacitors, each having a capacitance of $10 \mu F$, are connected in series and then parallel connection.
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Q 183 Marks Question3 Marks
A parallel plate capacitor is charged to a potential difference V from a direct current source, while there is air between the plates. Without separating the capacitor from the battery, a dielectric medium of dielectric constant K has been filled in place of air. Explain with reasons which of the following changes will occur? Also give explanation of the answers.(i) Potential difference (ii) Electric field between the plates (iii) Capacitance (iv) charge (v) energy.
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Q 215 Marks Questions5 Marks
What is capacitance of a conductor? What is its unit? Find the formula for capacitance of an isolated spherical conductor. Draw a graph between capacitance and radius. If a spherical conductor is placed in dielectric constant $\epsilon_r$, then what will be the effect on the value of capacitance?###If the area of each conducting plate of a parallel plate capacitor is A and the separation between them is $d$, then express the formula for its capacitance.
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Q 235 Marks Questions5 Marks
Write the definition of electric capacitance. A parallel plate capacitor is filled with a medium of dielectric constant K between the plates. Find the expression of its capacitance. Draw the necessary diagram.
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Q 245 Marks Questions5 Marks
Define capacitor. Obtain the relation of equivalence in series combination of capacitors by making a circuit diagram. Write the value of voltage $V_1$ in the given circuit.
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Q 26Case study (4 Marks)4 Marks
Draw a graph showing the change in potential corresponding to the change in distance from a point charge. For the charged system shown in the figure, prove that the potential difference between points $A$ and $B$ is
Image
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