If the capacitors in the previous question are joined in parallel, the capacitance and the breakdown voltage of the combination will be:
- 2C and 2V
- C and 2V
- 2C and V
- C and V
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
01
M.C.Q (1 Marks)
19 Q→021 Marks Question
8 Q→032 Marks Questions
6 Q→043 Marks Question
12 Q→054 Marks Question
1 Q→065 Marks Questions
49 Q→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.
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Two metal spheres of capacitances C1 and C2 carry some charges. They are put in contact and then separated. The final charges Q1 and Q2 on them will satisfy:
View full solution →-
$\frac{\text{Q}_1}{\text{Q}_2}<\frac{\text{C}_1}{\text{C}_2}$
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$\frac{\text{Q}_1}{\text{Q}_2}=\frac{\text{C}_1}{\text{C}_2}$
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$\frac{\text{Q}_1}{\text{Q}_2}>\frac{\text{C}_1}{\text{C}_2}$
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$\frac{\text{Q}_1}{\text{Q}_2}=\frac{\text{C}_2}{\text{C}_1}$
The equivalent capacitance of the combination shown in figure is:
View full solution →- C
- 2C
- $\frac{\text{C}}{2}$
- None of these.
Each plate of a parallel plate capacitor has a charge q on it. The capacitor is now connected to a batter. Now:
- The facing surfaces of the capacitor have equal and opposite charges.
- The two plates of the capacitor have equal and opposite charges.
- The battery supplies equal and opposite charges to the two plates.
- The outer surfaces of the plates have equal charges.
The energy density in the electric field created by a point charge falls off with the distance from the point charge as:
View full solution →-
$\frac{1}{\text{r}}$
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$\frac{1}{\text{r}^2}$
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$\frac{1}{\text{r}^3}$
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$\frac{1}{\text{r}^4}$
Suppose a charge +Q1 is given to the positive plate and a charge -Q2 to the negative plate of a capacitor. What is the ''charge on the capacitor''?
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?
As $\text{C}=\Big(\frac{1}{\text{V}}\Big)\text{Q},$ can you say that the capacitance C is proportional to the charge Q?
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.
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?
A cylindrical capacitor is constructed using two coaxial cylinders of the same length 10cm and of radii 2mm and 4mm:
- Calculate the capacitance.
- Another capacitor of the same length is constructed with cylinders of radii 4mm and 8mm. Calculate the capacitance.
A point charge Q is placed at the origin. Find the electrostatic energy stored outside the sphere of radius R centred at the origin.
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?
Two conducting spheres of radii R1 and R2 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.
Find the equivalent capacitance of the syatem shown in figure between the points a and b.
Find the charge appearing on each of the three capacitors shown in figure.
Two capacitors of capacitances $4.0\mu\text{F}$ and $6.0\mu\text{F}$ are connected in series with a battery of 20V. Find the energy supplied by the battery.
View full solution →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 →Each of the plates shown in figure has surface area $\Big(\frac{96}{\in_0}\Big)\times10^{-12}\text{Fm}$ on one side and the separation between the consecutive plates is 4.0mm. The emf of the battery connected is 10 volts. Find the magnitude of the charge supplied by the battery to each of the plates connected to it.
View full solution →Find the charge supplied by the battery in the arrangement shown in figure.
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 →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 →Find the potential difference Va - Vb between the points a and b shown in each part of the figure.
Find the equivalent capacitances of the combinations shown in figure between the indicated points.
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.
View full solution →Figure shows two identical parallel plate capacitors connected to a battery through a switch S. Initially, the switch is closed so that the capacitors are completely charged. The switch is now opened and the free space between the plates of the capacitors is filled with a dielectric of dielectric constant 3. Find the ratio of the initial total energy stored in the capacitors to the final total energy stored.
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