Question types

Capacitors question types

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

92
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.

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.

View full solution
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.

View full solution
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_{\text {-. }}$

Answer: B.

View full solution
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
    $\mathrm{C}_1=\mathrm{C}_2$
  • $C_1 < C_2$
  • D
    The information is not sufficient to decide the relation between $C_1$ and $C_2$.

Answer: C.

View full solution
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?
View full solution
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"?
View full solution
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.
View full solution
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?
View full solution
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.
View full solution
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.
View full solution
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.
View full solution
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?
View full solution
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.
View full solution
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.
View full solution
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?
View full solution
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 $3 \times 10^6Vm^{-1}.$
View full solution
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.
View full solution
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.
View full solution
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.
View full solution
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.
View full solution

Generate a Capacitors 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.

Download App