Question types

Capacitors question types

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

94
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6
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5
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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.

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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If the capacitors in the previous question are joined in parallel, the capacitance and the breakdown voltage of the combination will be:
  • A
    $2C$ and $2V$
  • B
    $C$ and $2V$
  • $2C$ and $V$
  • D
    $C$ and $V$

Answer: C.

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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
    $Q_{+}$
  • D
    The information is not sufficient to decide the relation between $Q_{+}$ and $Q_{-}$

Answer: B.

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Each plate of a parallel plate capacitor has a charge $q$ on it. The capacitor is now connected to a batter. Now:
  1. The facing surfaces of the capacitor have equal and opposite charges.
  2. The two plates of the capacitor have equal and opposite charges.
  3. The battery supplies equal and opposite charges to the two plates.
  4. The outer surfaces of the plates have equal charges.
  • A
    Only $A$
  • Both $A$ and $B$
  • C
    Only $C$
  • D
    None  of these

Answer: B.

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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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Suppose a charge $+Q_1$ is given to the positive plate and a charge $-Q_2$ to the negative plate of a capacitor. What is the ''charge on the capacitor''?
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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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A $100pF$ 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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A cylindrical capacitor is constructed using two coaxial cylinders of the same length $10\ cm$ and of radii $2\ mm$ and $4\ mm:$
  1. Calculate the capacitance.
  2. Another capacitor of the same length is constructed with cylinders of radii $4\ mm$ and $8\ mm$. Calculate the capacitance.
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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 163 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 173 Marks Question3 Marks
A parallel-plate capacitor having plate area $25cm^2$ and separation 1.00mm is connected to a battery of 6.0V. Calculate the charge flown through the battery. How much work has been done by the battery during the process?
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Q 183 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 193 Marks Question3 Marks
Find the charges on the three capacitors connected to a battery as shown in figure. Take $\text{C}_1=2.0\mu\text{F},\ \text{C}_2=4.0\mu\text{F},\ \text{C}_3=6.0\mu\text{F}$ and V = 12 volts.
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Q 203 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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An air-filled parallel-plate capacitor is to be constructed which can store $12\mu\text{C}$ of charge when operated at $1200V$. What can be the minimum plate area of the capacitor? The dielectric strength of air is $3 \times 10^6Vm^{-1}$.
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Each capacitor in figure has a capacitance of $10\mu\text{F}.$ The emf of the battery is 100V. Find the energy stored in each of the four capacitors.
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A capacitor stores $50\mu\text{C}$ charge when connected across a battery. When the gap between the plates is filled with a dielectric, a charge of $100\mu\text{C}$ flows through the battery. Find the dielectric constant of the material inserted.
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The separation between the plates of a parallel-plate capacitor is $0.500cm$ and its plate area is $100cm^2$. A $0.400cm$ thick metal plate is inserted into the gap with its faces parallel to the plates. Show that the capacitance of the assembly is independent of the position of the metal plate within the gap and find its value.
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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 $\in.$ All surfaces are frictionless. Calculate the value of M for which the dielectric slab will stay in equilibrium.
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