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

The two square faces of a rectangular dielectric slab (dielectric constant 4.0) 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 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

For a capacitor the distane between two plates is 4x and the electric field between them is E_(0) . Now a dielectric slab having dielectric constant 3 and thickkness x is placed between them in contact with one plate. In this condition what is the p.d. between its two plates ?

The capacitance of a parallel plate capacitor formed by the circular plates of diameter 4.0 cm is equal to the capacitance or a sphere of diameter 200 cm. Find the distance between two plates.

Figure shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15 A. Calculate the capacitance and the rate of change of potential difference between the plates.

A point object lies 30 cm above water on the axis of a convex mirror of focal length 40 cm lying 20 cm below water surface. Consider two images. (i) Image formed by the partial reflection from water surface. (ii) Image formed by refraction from water surface followed by reflection from mirror and again refraction out of the water surface. find the distance between these two images.

A substance has a dielectric constant 2.0 and its dielectric strength is 20 xx 10^(6) V/m . It is taken as a dielectric material in a parallel plate capacitor. The minimum area of its each plate such that its capacitance becomes 8.85xx10^(-2) muF and it can withstand a potential difference of 2000 V is ......

A point object is kept at a distance of 2 m from a parabolic reflecting surface y^(2) = 2x . An equiconvex lens is kept at a distance of 1.80 m from the parabolic surface. The focal length of the lens is 20 cm . Find the position from origin of the image in cm, after reflection from the surface.

Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y-4z+5=0.

An object is placed 21 cm in fron of a concave mirror of radis of curvature 20 cm.A glass slab of thicknes 3 cm and refractive index 1.5 is palced close to the mirror in the space between the object and the mirror. Find the position of the final image fromed. The distance of the nearer surface of the slab from the mirror is 10 cm.

Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The bigger of dimensions 25 cm times 20 cm times 5 cm and the smaller of dimensions 15 cm times 12 cm times 5 cm. For all the overlaps, 5% of the total surface area is required extra. If the cost of the cardboard is Rs. 4 for 1000 cm^(2) , find the cost of cardboard required for supplying 250 boxes of each kind.

Two plates of equal areas are placed in contact wih each other. Their thickness are 2.0 cm and 5.0 cm respectively. The temperature of the external surface of the first plate is -20^(@)C and that of the external surface of the second plate is 20^(@)C . What will be the temperature of the current surface if the plates (i) are of the same material, (ii) have thermal conductivities in the ratio 2:5 .

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 square faces of a rectangular dielectric slab (dielectric con...

    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 50mu ccharge 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. Suppose the space between the two inner shells of the previous probl...

    Text Solution

    |

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

    Text Solution

    |

  18. A pallel -plate capacitor whith the plate area 100cm^2 and the separat...

    Text Solution

    |

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

    Text Solution

    |

  20. Consider the situation shown in figure .The plates of the capacitor ...

    Text Solution

    |