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प्रश्न
What meaning would you give to the capacitance of a single conductor?
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उत्तर
The capacitance of a single conductor is considered as a parallel plate capacitor with one of its two plates at infinity.
संबंधित प्रश्न
Two parallel-plate capacitors X and Y have the same area of plates and same separation between them. X has air between the plates, while Y contains a dielectric medium of εr = 4.
(i) Calculate capacitance of each capacitor if the equivalent capacitance of the combination is 4 μF.
(ii) Calculate the potential difference between the plates X and Y.
(iii) Estimate the ratio of electrostatic energies stored in X and Y.
Derive the expression for the capacitance of a parallel plate capacitor having plate area A and plate separation d.
A capacitor, made of two parallel plates each of plate area A and separation d, is being charged by an external ac source. Show that the displacement current inside the capacitor is the same as the current charging the 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 ?
A parallel plate air capacitor has a capacitance of 5 μF. It becomes 50 μF when a dielectric medium occupies the entire space between its two plates. What is the dielectric constant of the medium?
Define the dielectric constant of a medium. What is its S.I unit?
In a parallel plate air capacitor the distance between plates is reduced to one-fourth and the space between them is filled with a dielectric medium of constant 2. If the initial capacity of the capacitor is 4μF then its new capacity is ______.
Two metal plates are separated by 2 cm. The potentials of the plates are -10 V and + 30 V. The electric field between the two plates is ______.
Figure shows plot of charge versus potential difference for four parallel plate capacitors, which have same plate area, dielectric medium but different distance between the plates. Which one of them have smallest plate distance?
Capacity of a parallel plate capacitor with a medium of dielectric constant 8 is 12 µF. If the medium is removed, then capacity of the capacitor would be ____________.
A capacitor of unknown capacitance is connected across a battery of 'V' volt. The charge stored in it is 'Q' coulomb. When the potential across the capacitor is reduced by 'V' volt, the charge stored in it becomes Q' coulomb. The potential V is ______
A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates ______.
Capacitor plates are charged by a battery with ‘V’ volts. After charging the battery is disconnected and a dielectric slab with dielectric constant ‘K’ is inserted between its plates, the potential across the plates of a capacitor will become ____________.
In a capacitor of capacitance 20 µF the distance between the plates is 5 mm. If a dielectric slab of width 2 mm and dielectric constant 3 is inserted between the plates, then the new capacitor will be ______.
A parallel plate air capacity 'C' farad, potential 'V' volt and energy 'E' joule. When the gap between the plates is completely filled with dielectric ______.
The separation between the plates of the parallel plate capacitor is d and the area of each plate is A. When a slab of material of dielectric constant k and thickness t(t < d) is introduced between the plates, its capacitance becomes ______.
(ε0 = permittivity of free space)
The capacity of a parallel plate air capacitor is \[C_0\] and the distance of separation of the plates is d. A dielectric slab of thickness \[\frac{4\mathrm{d}}{5}\] is introduced between the plates and the new capacity is C. The ratio \[C:C_{0}\] is ______.
