मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान इयत्ता 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 - Physics

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

पर्याय

  • `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

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Capacitors - MCQ [पृष्ठ १६४]

APPEARS IN

एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 9 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? (a) The electric field between the plates of the capacitor Justify your answer by writing the necessary expressions.


Define capacitor reactance. Write its S.I units.


A parallel plate capacitor of capacitance C is charged to a potential V. It is then connected to another uncharged capacitor having the same capacitance. Find out the ratio of the energy stored in the combined system to that stored initially in the single capacitor.


Two identical parallel plate capacitors A and B are connected to a battery of V volts with the switch S closed. The switch is now opened and the free space between the plates of the capacitors is filled with a dielectric of dielectric constant K. Find the ratio of the total electrostatic energy stored in both capacitors before and after the introduction of the dielectric.


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


The capacitance of a capacitor does not depend on


It is required to construct a 10 µF capacitor which can be connected across a 200 V battery. Capacitors of capacitance 10 µF are available but they can withstand only 50 V. Design a combination which can yield the desired result.


You are provided with 8 μF capacitors. Show with the help of a diagram how you will arrange minimum number of them to get a resultant capacitance of 20 μF.


If the voltage applied on a capacitor is increased from V to 2V, choose the correct conclusion.


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


Derive the expression for resultant capacitance, when the capacitor is connected in series.


Derive the expression for resultant capacitance, when the capacitor is connected in parallel.


During a thunder storm, the movement of water molecules within the clouds creates friction, partially causing the bottom part of the clouds to become negatively charged. This implies that the bottom of the cloud and the ground act as a parallel plate capacitor. If the electric field between the cloud and ground exceeds the dielectric breakdown of the air (3 × 106 Vm–1), lightning will occur.

  1. If the bottom part of the cloud is 1000 m above the ground, determine the electric potential difference that exists between the cloud and ground.
  2. In a typical lightning phenomenon, around 25 C of electrons are transferred from cloud to ground. How much electrostatic potential energy is transferred to the ground?

Consider the following statements regarding series grouping of capacitors and select the correct statements.
  1. Charge on each capacitor remains same and equals to the main charge supplied by the battery.
  2. Potential difference and energy distribute in the reverse ratio of capacitance.
  3. Effective capacitance is even les than the least of teh individual capacitances.

Capacitors are used in electrical circuits where appliances need more ______.

Can the potential function have a maximum or minimum in free space?


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).


A 5µF capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in series to another uncharged 2.5 µF capacitor If the energy change during the charge redistribution is `"X"/100`J then value of X to the 100 nearest integer is ______.


Read the following paragraph and answer the questions.

A capacitor is a system of two conductors separated by an insulator. The two conductors have equal and opposite charges with a potential difference between them. The capacitance of a capacitor depends on the geometrical configuration (shape, size and separation) of the system and also on the nature of the insulator separating the two conductors. They are used to store charges. Like resistors, capacitors can be arranged in series or parallel or a combination of both to obtain the desired value of capacitance.
  1. Find the equivalent capacitance between points A and B in the given diagram.
  2. A dielectric slab is inserted between the plates of the parallel plate capacitor. The electric field between the plates decreases. Explain.
  3. A capacitor A of capacitance C, having charge Q is connected across another uncharged capacitor B of capacitance 2C. Find an expression for (a) the potential difference across the combination and (b) the charge lost by capacitor A.
    OR
    Two slabs of dielectric constants 2K and K fill the space between the plates of a parallel plate capacitor of plate area A and plate separation d as shown in the figure. Find an expression for the capacitance of the system.
     

Obtain the equivalent capacitance of the network shown in the figure. For a 300 V supply, determine the charge on each capacitor.

 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×