हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

P Two Metal Spheres of Capacitance C1 and C2 Carry Some Charges. They Are Put in Contact and Then Separated. the Final Charges Q1 and Q2 on Them Will Satisfy

Advertisements
Advertisements

प्रश्न

Two metal spheres of capacitance C1 and C2 carry some charges. They are put in contact and then separated. The final charges Q1 and Q2 on them will satisfy

विकल्प

  • `Q_1/Q_2< C_1/C_2`

  • `Q_1/Q_2 = C_1/C_2`

  • `Q_1/Q_2 > C_1/C_2`

  • `Q_1/Q_2 = C_2/C_1`

MCQ
Advertisements

उत्तर

`Q_1/Q_2 = C_1/C_2` 

When the spheres are connected, charges flow between them until they both acquire the same common potential V.
The final charges on the spheres are given by
Q1 = C​1V and Q2 = C2V

`therefore Q_1/Q_2 = (C_1V)/(C_2V) = C_1/C_2`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 31: Capacitors - MCQ [पृष्ठ १६४]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 31 Capacitors
MCQ | Q 11 | पृष्ठ १६४

संबंधित प्रश्न

A capacitor of capacitance ‘C’ is charged to ‘V’ volts by a battery. After some time the battery is disconnected and the distance between the plates is doubled. Now a slab of dielectric constant, 1 < k < 2, is introduced to fill the space between the plates. How will the following be affected? (b) The energy stored in the capacitor Justify your answer by writing the necessary expressions


Find the equivalent capacitance of the network shown in the figure, when each capacitor is of 1 μF. When the ends X and Y are connected to a 6 V battery, find out (i) the charge and (ii) the energy stored in the network.


A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the capacitor is


Three capacitors of capacitances 6 µF each are available. The minimum and maximum capacitances, which may be obtained are


Find the charge supplied by the battery in the arrangement shown in figure.


The outer cylinders of two cylindrical capacitors of capacitance 2⋅2 µF each, are kept in contact and the inner cylinders are connected through a wire. A battery of emf 10 V is connected as shown in figure . Find the total charge supplied by the battery to the inner cylinders.


Each of the plates shown in figure has surface area `(96/∈_0) xx 10^-12` Fm on one side and the separation between the consecutive plates is 4⋅0 mm. 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.


A capacitor of capacitance 2⋅0 µF is charged to a potential difference of 12 V. It is then connected to an uncharged capacitor of capacitance 4⋅0 µF as shown in figure . Find (a) the charge on each of the two capacitors after the connection, (b) the electrostatic energy stored in each of the two capacitors and (c) the heat produced during the charge transfer from one capacitor to the other.


Suppose the space between the two inner shells is filled with a dielectric of dielectric constant K. Find the capacitance of the system between A and B.


A parallel-plate capacitor with the plate area 100 cm2 and the separation between the plates 1⋅0 cm is connected across a battery of emf 24 volts. Find the force of attraction between the plates.


Obtain the expression for energy stored in the parallel plate capacitor.


In a charged capacitor, the energy is stored in ______.

In a charged capacitor, the energy resides ______.

The radius of a sphere of capacity 1 microfarad in the air is ______


The displacement current of 4.425 µA is developed in the space between the plates of the parallel plate capacitor when voltage is changing at a rate of 106 Vs-1. The area of each plate of the capacitor is 40 cm2. The distance between each plate of the capacitor is x × 10-3 m. The value of x is ______.

(Permittivity of free space, ε0 = 8.85 × 10-12C2N-1m-2).


The material filled between the plates of a parallel plate capacitor has a resistivity of 200Ωm. The value of the capacitance of the capacitor is 2 pF. If a potential difference of 40V is applied across the plates of the capacitor, then the value of leakage current flowing out of the capacitor is ______.

(given the value of relative permittivity of a material is 50.)


A leaky parallel plate capacitor is filled completely with a material having dielectric constant K = 5 and electric conductivity σ = 7.4 × 10-12 Ω-1 m-1. If the charge on the plate at the instant t = 0 is q = 8.85 µC, then the leakage current at the instant t = 12 s is ______ × 10-1 µA.


A capacitor of capacity 2 µF is charged to a potential difference of 12 V. It is then connected across an inductor of inductance 0.6 mH. The current in the circuit at a time when the potential difference across the capacitor is 6.0 V is ______ × 10-1A.


Current versus time and voltage versus time graphs of a circuit element are shown in figure.

The type of the circuit element is ______.


Calculate equivalent capacitance of the circuit shown in the Figure given below:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×