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.


Define capacitor reactance. Write its S.I units.


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.


As `C = (1/V) Q` , can you say that the capacitance C is proportional to the charge Q?


The equivalent capacitance of the combination shown in the figure is _________ .


When 1⋅0 × 1012 electrons are transferred from one conductor to another, a potential difference of 10 V appears between the conductors. Calculate the capacitance of the two-conductor system.


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


Each of the capacitors shown in figure has a capacitance of 2 µF. find the equivalent capacitance of the assembly between the points A and B. Suppose, a battery of emf 60 volts is connected between A and B. Find the potential difference appearing on the individual capacitors.


A cylindrical capacitor is constructed using two coaxial cylinders of the same length 10 cm and of radii 2 mm and 4 mm. (a) Calculate the capacitance. (b) Another capacitor of the same length is constructed with cylinders of radii 4 mm and 8 mm. Calculate the capacitance.


Find the equivalent capacitances of the combinations shown in figure between the indicated points.


Find the equivalent capacitance of the infinite ladder shown in figure between the points A and B.


A capacitor of capacitance 10 μF is connected to a battery of emf 2 V. It is found that it takes 50 ms for the charge of the capacitor to become 12.6 μC. Find the resistance of the circuit.


A parallel-plate capacitor of capacitance 5 µF is connected to a battery of emf 6 V. The separation between the plates is 2 mm. (a) Find the charge on the positive plate. (b) Find the electric field between the plates. (c) A dielectric slab of thickness 1 mm and dielectric constant 5 is inserted into the gap to occupy the lower half of it. Find the capacitance of the new combination. (d) How much charge has flown through the battery after the slab is inserted?


For the given capacitor configuration

  1. Find the charges on each capacitor
  2. potential difference across them
  3. energy stored in each capacitor.


Between the plates of parallel plate condenser there is 1 mm thick medium shoot of dielectric constant 4. It is charged at 100 volt. The electric field in volt/meter between the plates of capacitor is ______.


Two similar conducting spheres having charge+ q and -q are placed at 'd' seperation from each other in air. The radius of each ball is r and the separation between their centre is d (d >> r). Calculate the capacitance of the two ball system ______.


A capacitor of 4 µ F is connected as shown in the circuit (Figure). The internal resistance of the battery is 0.5 Ω. The amount of charge on the capacitor plates will be ______.


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.


If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then:

  1. the charge stored in it. increases.
  2. the energy stored in it, decreases.
  3. its capacitance increases.
  4. the ratio of charge to its potential remains the same.
  5. the product of charge and voltage increases.

Choose the most appropriate answer from the options given below:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×