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 $B$.
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Electrostatic Potential and Capacitance question types
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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.
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.
Two capacitors of equal capacitance are connected to a battery as shown. Switch S is initially in closed state. Now the switch $S$ is opened and a material of dielectric constant $\in_r=3$ is filled between the plates of the capacitor. Find the ratio of the values of electrical energy stored in the capacitors before and after placing the dielectric material. 
View full solution →The radii of two conductors $A$ and $B$ with equal charge density are $R_1$ and $R_2$, respectively ( $R_1$ $>R_2$ ). If the conductors are connected to a conducting wire of negligible capacitance then find out :(a) From which conductor will the charge flowto whom?(b) What will be the ratio of charges on the conductors after charge redistribution?
View full solution →The quantities of charge on the two conducting spheres of radius 4 cm and 7 cm are 500 micro coulombs and 60 micro coulombs respectively. Calculate the loss in electrical potential energy when conductors are joined together.
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.
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.
View full solution →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.
View full solution →What will be the effect on placing a metal foil between the plates of a parallel plate capacitor on its capacitance?
Define polarization.
What is called equipotential surface?Draw the diagram of equipotential surface due point positive charge.
Calculate the electric potential at a point located at a distance of $9 \times 10^{-4} m$ due to a charge of $2 \times 10^{-9} C$
View full solution →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.
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.
View full solution →What will be the work done in bringing a point charge from x to points y and z respectively in the given figure?
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
View full solution →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.
View full solution →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.
View full solution →Two capacitors whose capacitances are $C _1$ and $C _2$ If they are given equal charges then the ratio of the energies stored in them will be :
- ✓$\frac{ C _2}{ C _1}$
- B$\frac{C_1}{C_2}$
- C$\sqrt{\frac{C_2}{C_1}}$
- D$\sqrt{\frac{C_1}{C_2}}$
Answer: A.
View full solution →In what order should three capacitors be connected so that the energy stored in them at the same potential is maximum?
- ATwo in parallel and one in series
- ✓All three in parallel
- CAll three in series
- DTwo in series and one in parallel.
Answer: B.
View full solution →A hollow copper sphere A and a solid sphere B of equal radius are charged with the same potential. The true statement is:
- ACharge on sphere A will be more
- BCharge on sphere B will be more
- ✓Both will have equal charge
- DCannot be said with certainty.
Answer: C.
View full solution →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 $\in_r$, 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.
View full solution →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.
Obtain the relation for equivalence in series combination of capacitors. Make a circuit diagram.
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.
View full solution →Define common potential. Find the expression for redistribution of charges and energy loss when capacitors are connected together.
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