Home
Class 12
PHYSICS
The two square faces of a rectangular di...

The two square faces of a rectangular dielectric slab (dielectric constant4.0) of dimensions 20cm x20cm x 1.0mm are metal -coated. Find the capacitance between the coated surfaces.

Text Solution

Verified by Experts

` a = 20 cm xx 20 cm = 400 cm^(2)`
`= 4 xx 10^(-2) m , d = 1 m `
`= 1 xx 10^(-3) m , K = 4, t = d `
`C = eplison_0 KA / d `
= 8.74 xx 4 xx 4 xx 10^(-11) `
`= 141.6 xx 10^(-9) F = 1.42 n F` .
Promotional Banner

Topper's Solved these Questions

  • CAPACITORS

    HC VERMA|Exercise OBJECTIVE 2|7 Videos
  • BOHR'S MODEL AND PHYSICS OF THE ATOM

    HC VERMA|Exercise Exercises|46 Videos
  • DISPERSION AND SPECTRA

    HC VERMA|Exercise Exercises|11 Videos

Similar Questions

Explore conceptually related problems

A parallel plate capacitor has a plate area 3m^(2) , spaced by 3 dielectric slabs of dielectric constant 2,3,6 and of thickness 0.4mm, 0.6 mm and 1.2mm respectively. Find the effective capacity.

A parallel-plate of capacitor of capacitance 5mu F is connected in a battery of emf 6V. The separation between the plate is 2mm.(a) Find the charge on the positive plate.(b) find the eletric field between the plate.(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 flow n through the battery after the slab is inserted?

A pallel- plate capacitor has plate area 100cm^2 and plate separation 1.0cm.A glass plate (dielectric constant 4.0)are inserted one over the other the fill the space between the plate of the capacitor.Find the new capacitance.

Two metal plates 50cm xx 50cm have a separation of 2cm. The metal plates are separated by 2 dielectric material constant 4 and 6 and of thickness 0.8 cm and 1.2 cm respectively. Find the effective capacity.

A parallel plate capacitor is formed by two plates, each of area 100 cm^2 , separated by a distance of 1 mm. A dielectric of dielectric constant 5.0 and dielectric strength 1.9 X 10 ^7 Vm^(-1) is filled between the plates. Find the maximum charge that can be stored on the capacitor without causing any dielectric breakdown.

A parallel-plalte capacitor has plate area 20cm^(2) ,plate separation 1.0mm and a dielectric slab of dielaectric constant 5.0 filling up the space between the plates.This capacitor is joined to a battery of emf 6.0V through a 100k(Omega) resistor.find the energy of the capacitor 8.9(mu)s after the connections are made.

Figure shown a parallel-plate capacitor having square plates of edge a and plate-separation d. The gap between the plates is filled with a dielectric of dielectric constant K which varies parallel to an edge as where K and a are constants and x is the distance from the left end. Calculate the capacitance.

Figure shown pallel plate capacitors with fixed plate and connected to two batteries .The separation between the plate is the same for the two capacitors .The plates are rectangular in shape with width b and lengths l_1 and l_2. The left half of the dielectric slab has adielectric constant K_1 and the right half K_2 . neglecting any friction ,find the ratio of the emf of the right battery for which the dielctric slab may remain in equilibrium.

A capacitor is formed by two square metal plate of edge a,separated by a distance d.Dielectric constants K_1 and K_2 are filled in the gap as shown in figure(31-E25).Find the capacitance.

A parallel -plate capacitor having plate area 400 cm ^2 and separation between the plate 1.0mm is connected to a power supply of 100V. A dielectric slab of thickness1.0mm and dielectric constant 5.0 is inserted into the gap .(a)Find the increase in electrostatic energy .(b) If the power supply is now disconnected and the dielectric slab is taken out , find the further increase in energy. (c) Why does the energy increase in inserting the slab as well as in taking it out?

HC VERMA-CAPACITORS-Exercise
  1. A capacitor of capacitor 5.00 muF is charged to 24.0 V and another cap...

    Text Solution

    |

  2. A 5.0muF capacitor is charged to 12V. The positive plate of this capa...

    Text Solution

    |

  3. The two square faces of a rectangular dielectric slab (dielectric con...

    Text Solution

    |

  4. If the above capacitor is connected across a 6.0Vbattery , find (a)the...

    Text Solution

    |

  5. The separation between the plates of a parallel-plate capacitor is 0.5...

    Text Solution

    |

  6. A capacitor stores 50mu c charge when connected across a battery . Whe...

    Text Solution

    |

  7. A parallel-plate of capacitor of capacitance 5mu F is connected in a b...

    Text Solution

    |

  8. A pallel- plate capacitor has plate area 100cm^2 and plate separation ...

    Text Solution

    |

  9. A parallel -plate capacitor having plate area 400 cm ^2 and separation...

    Text Solution

    |

  10. Find the capacitances of the capacitance shown In figure .The plate ...

    Text Solution

    |

  11. A capacitor is formed by two square metal plate of edge a,separated by...

    Text Solution

    |

  12. Figure shows two identical parallel plate capacitors connected to a sw...

    Text Solution

    |

  13. A parallel - plate capacitor of plate area A and plate separation d is...

    Text Solution

    |

  14. A capacitor having a capacitance of 100 mu f is changed to a potential...

    Text Solution

    |

  15. A sphercial capacitor is made of two conducting spherical shells of ra...

    Text Solution

    |

  16. Consider an assembly of three conducting concentric spherical shell o...

    Text Solution

    |

  17. Suppose the space between the two inner shells of the previous probl...

    Text Solution

    |

  18. An air -filled parallel-plate capacitor is to be constructed which can...

    Text Solution

    |

  19. A parallel -plate capacitor with the plate area 100cm^2 and the separa...

    Text Solution

    |

  20. Concider the situation shown in figure .The width of each plate is b.T...

    Text Solution

    |