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Net capacitance of three identical capacitors in series is 2 μF. What will be their net capacitance if connected in parallel?
Concept: Capacitance of a Parallel Plate Capacitor with and Without Dielectric Medium Between the Plates
Find the ratio of energy stored in the two configurations if they are both connected to the same source.
Concept: Energy Stored in a Charged Capacitor
A parallel plate capacitor is being charged by a time varying current. Explain briefly how Ampere’s circuital law is generalized to incorporate the effect due to the displacement current ?
Concept: Capacitance of a Parallel Plate Capacitor with and Without Dielectric Medium Between the Plates
Depict the equipotential surfaces for a system of two identical positive point charges placed a distance(d) apart?
Concept: Equipotential Surfaces
Deduce the expression for the potential energy of a system of two point charges q1 and q2 brought from infinity to the points `vecr_1`and `vecr_2`respectively in the presence of external electric field `vecE`.
Concept: Potential Energy in an External Field >> Potential Energy of a System of Two Charges in an External Field
A parallel-plate capacitor is charged to a potential difference V by a dc source. The capacitor is then disconnected from the source. If the distance between the plates is doubled, state with reason how the following change:
(i) electric field between the plates
(ii) capacitance, and
(iii) energy stored in the capacitor
Concept: The Parallel Plate Capacitor
Can two equi-potential surfaces intersect each other? Give reasons.
Concept: Electric Potential
Two charges −q and +q are located at points A (0, 0, −a) and B (0, 0, +a) respectively. How much work is done in moving a test charge from point P (7, 0, 0) to Q (−3, 0, 0)?
Concept: Electric Potential
Three identical capacitors C1, C2 and C3 of capacitance 6 μF each are connected to a 12 V battery as shown.

Find
(i) charge on each capacitor
(ii) equivalent capacitance of the network
(iii) energy stored in the network of capacitors
Concept: Capacitors and Capacitance
The figure show a network of five capacitors connected to a 10V battery. Calculate the charge acquired by the 5μF capacitor.

Concept: Capacitors and Capacitance
An ac circuit consists of a series combination of circuit elements X and Y. The current is ahead of the voltage in phase by `pi /4` . If element X is a pure resistor of 100Ω ,
(a) name the circuit element Y.
(b) calculate the rms value of current, if rms value of voltage is 141V.
(c) what will happen if the ac source is replaced by a dc source ?
Concept: Combination of Capacitors
Explain briefly, using a proper diagram, the difference in behaviour of a conductor and a dielectric in the presence of external electric field.

Concept: Dielectrics
Derive an expression for the electric potential at any point along the axial line of an electric dipole.
Concept: Potential Due to an Electric Dipole
Draw the equipotential surfaces due to an electric dipole.
Concept: Equipotential Surfaces

The figure shows a network of five capacitors connected to a 100 V supply. Calculate the total energy stored in the network.
Concept: Combination of Capacitors
Explain briefly, using a proper diagram, the difference in the behavior of a conductor and a dielectric in the presence of an external electric field.
Concept: Dielectrics
An ac circuit consists of a series combination of circuit elements X and Y. The current is ahead of the voltage in phase by `pi/4`. If element X is a pure resistor of 100 Ω,
(a) name the circuit element Y.
(b) calculate the rms value of current, if rms of voltage is 141 V.
(c) what will happen if the ac source is replaced by a dc source
Concept: Combination of Capacitors
Define the dielectric constant of a medium. What is its S.I unit?
Concept: Capacitance of a Parallel Plate Capacitor with and Without Dielectric Medium Between the Plates
Three circuits, each consisting of a switch 'S' and two capacitors, are initially charged, as shown in the figure. After the switch has been closed, in which circuit will the charge on the left-hand capacitor
(i) increase,
(ii) decrease, and
(iii) remains the same? Give reasons.

Concept: Capacitors and Capacitance
Two parallel uniformly charged infinite plane sheets, '1' and '2', have charge densities + `sigma and -2sigma `respectively. Give the magnitude and direction of the net electric field at a point.
(i) in between the two sheets and
(ii) outside near the sheet '1'.
Concept: Capacitance of a Parallel Plate Capacitor with and Without Dielectric Medium Between the Plates
