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Figure shows the field lines due to a positive point charge. Give the sign of potential energy difference of a small negative charge between the points Q and P.
Concept: Potential Energy of a System of Charges
A circuit is set up by connecting inductance L = 100 mH, resistor R = 100 Ω and a capacitor of reactance 200 Ω in series. An alternating emf of \[150\sqrt{2}\] V, 500/π Hz is applies across this series combination. Calculate the power dissipated in the resistor.
Concept: Combination of Capacitors
Find the charge on the capacitor as shown in the circuit.
Concept: Energy Stored in a Charged Capacitor
A 10 V battery of negligible internal resistance is connected across a 200 V battery and a resistance of 38Ω as shown in the figure. Find the value of the current in circuit.
Concept: Effect of Dielectric on Capacitance
A 5 V battery of negligible internal resistance is connected across a 200 V battery and a resistance of 39Ω as shown in the figure. Find the value of the current in circuit.
Concept: Effect of Dielectric on Capacitance
A capacitor of unknown capacitance is connected across a battery of V volts. The charge stored in it is 300 μC. When potential across the capacitor is reduced by 100 V, the charge stored in it becomes 100 μC. Calculate The potential V and the unknown capacitance. What will be the charge stored in the capacitor if the voltage applied had increased by 100 V?
Concept: Capacitors and Capacitance
A slab of material of dielectric constant K has the same area as that of the plates of a parallel plate capacitor but has the thickness d/2, where d is the separation between the plates. Find out the expression for its capacitance when the slab is inserted between the plates of the capacitor.
Concept: The Parallel Plate Capacitor
A slab of material of dielectric constant K has the same area as that of the plates of a parallel plate capacitor but has the thickness d/3, where d is the separation between the plates. Find out the expression for its capacitance when the slab is inserted between the plates of the capacitor.
Concept: The Parallel Plate Capacitor
A slab of material of dielectric constant K has the same area as that of the plates of a parallel plate capacitor but has the thickness 2d/3, where d is the separation between the plates. Find out the expression for its capacitance when the slab is inserted between the plates of the capacitor.
Concept: The Parallel Plate Capacitor
Why is electrostatic potential constant throughout the volume of the conductor and has the same value (as inside) on its surface?
Concept: Equipotential Surfaces >> Relation Between Electric Field and Electrostatic Potential
A capacitor of 200 pF is charged by a 300 V battery. The battery is then disconnected and the charge capacitor is connected to another uncharged capacitor of 100 pF. Calculate the difference between the final energy stored in the combined system and the initial energy stored in the single capacitor.
Concept: Potential Energy in an External Field >> Potential Energy of a Single Charge
Why is there no work done in moving a charge from one point to another on an equipotential surface?
Concept: Equipotential Surfaces
A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 5 V. What is the potential at the centre of the sphere?
Concept: Equipotential Surfaces >> Relation Between Electric Field and Electrostatic Potential
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
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
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
