Home
Class 12
PHYSICS
The two squre faces of a rectangular die...

The two squre faces of a rectangular dielectric slab (dielectric constant4.0) of dimensions 20cm xx20cm xx 1.0mm are matel -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 Exercise|2 Videos
  • 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 capacitance of "5pF" ,a plate area of 20.0mm^(2) and voltage across it is 10V.A dielectric slab with dielectric constant "5" is introduced in between the plates.Find the magnitude of the induced surface charge on the slab.

A parallel plate capacitor of capacitance C_(0) is charged with a charge Q_(0) to a potential difference V_(0) and the battery is then disconnected Now a dielectric slab of dielectric constant k is inserted between the plates ofcapacitor. The dimensions of the slab are such that it completely fills the space between the plates, then :

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 parallel plate capacitor without any dielectric has capacitance C_(0) . A dielectric slab is made up of two dielectric slabs of dielectric constants K and 2K and is of same dimensions as that of capacitor plates and both the parts are of equal dimensions arranged serially as shown. If this dielectric slab is introduced (dielectric K enters first) in between the plates at constant speed, then variation of capacitance with time will be best represented by :

Two parallel plate capacitors A and B have the same separation d=8.85xx10^-4m between the plates. The plate area of A and B are 0.04m^2 and 0.02m^2 respectively. A slab of dielectric constant (relative permittivity) K=9 has dimensions such that it can exactly fill the space between the plates of capacitor B. (i) The dielectric slab is placed inside. A as shown in figure (a). A is then charged to a potential difference of 110V. Calculate the capacitance of A and the energy stored in it. The battery is disconnected and then the dielectric slab is moved from A. Find the work done by the external agency in removing the slab from A. (iii) The same dielectric slab is now placed inside B, filling it completely, The two capacitors A and B are then connected as shown in figure(c). Calculate the energy stored in the system.

Find the (i) surface area (ii) volume of the rectangular body of dimension 30 cm xx10 cm xx5 cm.

Two identical parallel plate capacitors are connected in series to a battery of 100V . A dielectric slab of dielectric constant 4.0 is inserted between the plates of second capacitor. The potential difference across the capacitors will now be respectively

HC VERMA-CAPACITORS-Exercises
  1. 47-A capacitor of capacitor 5.00 muF is charged to 24.0 V and another ...

    Text Solution

    |

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

    Text Solution

    |

  3. The two squre faces of a rectangular dielectric slab (dielectric cons...

    Text Solution

    |

  4. If the above capacitor is connected across a 6.0Vbettery , 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 50muccharge when connected across a battery . When ...

    Text Solution

    |

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

    Text Solution

    |

  8. A paller- 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 of the capacitors shown In f...

    Text Solution

    |

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

    Text Solution

    |

  12. Figure shows two indentical pallel plate capacitors connected to a swi...

    Text Solution

    |

  13. A parallel - plate capacitor of plate area Aand 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 pallel -plate capacitor whith the plate area 100cm^2 and the separat...

    Text Solution

    |

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

    Text Solution

    |