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Capacitors Physics - Capacitors

Rajasthan Board (RBSE) - STD 12 Science - Physics (Rajasthan - English Medium). 95 questions in this chapter.

Question types

Capacitors question types

95 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

95
Questions
6
Question groups
5
Question types
Sample Questions

Capacitors 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
Two metal spheres of capacitances $C_1$ and $C_2$ carry some charges. They are put in contact and then separated. The final charges $Q_1$ and $Q_2$ on them will satisfy:
  • A
    $\frac{\text{Q}_1}{\text{Q}_2}<\frac{\text{C}_1}{\text{C}_2}$
  • ✓
    $\frac{\text{Q}_1}{\text{Q}_2}=\frac{\text{C}_1}{\text{C}_2}$
  • C
    $\frac{\text{Q}_1}{\text{Q}_2}>\frac{\text{C}_1}{\text{C}_2}$
  • D
    $\frac{\text{Q}_1}{\text{Q}_2}=\frac{\text{C}_2}{\text{C}_1}$

Answer: B.

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Q 2M.C.Q (1 Marks)1 Mark
A parallel$-$plate capacitor has plates of unequal area. The larger plate is connected to the positive terminal of the battery and the smaller plate to its negative terminal. Let $Q_+$ and $Q_-$ be the charges appearing on the positive and negative plates respectively:
  • A
    $Q_+ > Q_-$
  • ✓
    $Q_{+ }= Q_-$
  • C
    $Q_+ < Q_-$
  • D
    The information is not sufficient to decide the relation between $Q_+$ and $Q_-.$

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark
Figure shows two capacitors connected in series and joined to a battery. The graph shows the variation in potential as one moves from left to right on the branch containing the capacitors:

  • A
    $C_1 > C_2$
  • B
    $C_1 = C_2$
  • ✓
    $C_1 < C_2$
  • D
    The information is not sufficient to decide the relation between $C_1$ and $C_2.$

Answer: C.

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Q 5M.C.Q (1 Marks)1 Mark
A dielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following quantities will remain the same?
  1. The electric field in the capacitor.
  2. The charge on the capacitor.
  3. The potential difference between the plates.
  4. The stored energy in the capacitor.
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Q 61 Marks Question1 Mark
A capacitor has capacitance C. Is this information sufficient to know what maximum charge the capacitor can contain? If yes, what is this charges? If no, what other information is needed?
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Q 81 Marks Question1 Mark
A capacitor with stored energy $4.0J$ is connected with an identical capacitor with no electric field in between. Find the total energy stored in the two capacitors.
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Q 101 Marks Question1 Mark
The plates of a parallel-plate capacitor are given equal positive charges. What will be the potential difference between the plates? What will be the charges on the facing surfaces and on the outer surfaces?
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Q 122 Marks Questions2 Marks
A 100\ pF capacitor is charged to a potential difference of $24V.$ It is connected to an uncharged capacitor of capacitance $20pF.$ What will be the new potential difference across the $100pF$ capacitor?
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Q 132 Marks Questions2 Marks
Two conducting spheres of radii $R_1$ and $R_2$ are kept widely separated from each other. What are their individual capacitances? If the spheres are connected by a metal wire, what will be the capacitance of the combination? Think in terms of series$-$parallel connections.
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Q 142 Marks Questions2 Marks
A cylindrical capacitor is constructed using two coaxial cylinders of the same length 10cm and of radii 2mm and 4mm:
  1. Calculate the capacitance.
  2. Another capacitor of the same length is constructed with cylinders of radii 4mm and 8mm. Calculate the capacitance.
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Q 152 Marks Questions2 Marks
The plates of a parallel-plate capacitor are made of circular discs of radii 5.0cm each. If the separation between the plates is 1.0mm, what is the capacitance?
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Q 163 Marks Question3 Marks
A charge of $20\mu\text{C}$ is placed on the positive plate of an isolated parallel-plate capacitor of capacitance $10\mu\text{F}.$ Calculate the potential difference developed between the plates.
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Q 173 Marks Question3 Marks
A charge of $+2.0 \times 10^{-8}C$ is placed on the positive plate and a charge of $-1.0 \times 10^{-8}C$ on the negative plate of a parallel$-$plate capacitor of capacitance $1.2\times10^{-3}\mu\text{F}.$ Calculate the potential difference developed between the plates.
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Q 183 Marks Question3 Marks
Suppose, one wishes to construct a 1.0 farad capacitor using circular discs. If the separation between the discs be kept at 1.0mm, what would be the radius of the discs?
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Q 193 Marks Question3 Marks
A metal sphere of radius R is charged to a potential V:
  1. Find the electrostatic energy stored in the electric field within a concentric sphere of radius 2R.
  2. Show that the electrostatic field energy stored outside the sphere of radius 2R equals that stored within it.
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Q 203 Marks Question3 Marks
A large conducting plane has a surface charge density $1.0\times10^{-4}\text{Cm}^{-2}.$ Find the electrostatic energy stored in a cubical volume of edge 1.0cm in front of the plane.
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Q 214 Marks Questions4 Marks
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.
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Q 235 Marks Questions5 Marks
Take $\text{C}_1=4.0\mu\text{F}$ and $\text{C}_2=6.0\mu\text{F}$ in figure. Calculate the equivalent capacitance of the combination between the points indicated.

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Q 255 Marks Questions5 Marks
A finite ladder is constructed by connecting several sections of $2\mu\text{F},\ 4\mu\text{F}$ capacitor combinations as shown in figure. It is terminated by a capacitor of capacitance $C.$ What value should be chosen for $C,$ such that the equivalent capacitance of the ladder between the points $A$ and $B$ becomes independent of the number of sections in between?
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Q 265 Marks Questions5 Marks
The two square faces of a rectangular dielectric slab $($dielectric constant $4.0)$ of dimensions $20\ cm \times 20\ cm \times 1.0mm$ are metal$-$coated. Find the capacitance between the coated surfaces.
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