Home
Class 12
PHYSICS
A parallel plate capacitor is made of tw...

A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness `d_(1)` and dielectric constant `K_(1)` and the other has thickness `d_(2)` and dielectric constant `K_(2)` as shown in figure. This arrangement can be through as a dielectric slab of thickness `d (= d_(1) + d_(2))` and effective dielectric constant `K`. The `K` is.
.

A

`(K_(1)d_(1)+K_(2)d_(2))/(d_(1)+d_(2))`

B

`(K_(1)d_(1)+K_(2)d_(2))/(K_(1)+K_(2))`

C

`(K_(1)K_(2) (d_(1)+d_(2)))/((K_(1)d_(2)+K_(2)d_(1)))`

D

`(2K_(1)K_(2))/(K_(1)+K_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY ENGLISH|Exercise (B) Chapter exercises|17 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY ENGLISH|Exercise (C) Chapter exercises|50 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY ENGLISH|Exercise Check point 2.5|20 Videos

  • ELECTROMAGNETIC WAVES

    DC PANDEY ENGLISH|Exercise Sec C|22 Videos

  • ELECTROSTATICS

    DC PANDEY ENGLISH|Exercise Medical entrances gallery|37 Videos

Similar Questions

Explore conceptually related problems

Between the plates of a parallel plate condenser, a plate of thickness t_(1) and dielectric constant k_(1) is placed. In the rest of the space, there is another plate of thickness t_(2) and dielectric constant k_(2) . The potential difference across the condenser will be

Between the plates of a parallel plate condenser, a plate of thickness t_(1) and dielectric constant k_(1) is placed. In the rest of the space, there is another plate of thickness t_(2) and dielectric constant k_(2) . The potential difference across the condenser will be

A parallel plate capacitor with square plates is filed with four dielectrics of dielectric constants K_(1),K_(2),K_(3),K_(4), arranged as shown in the figure. The effective dielectric constant K will be :

A parallel plate capacitor of plate area A and separation d is filled with two materials each of thickness d/2 and dielectric constants in_1 and in_2 respectively. The equivalent capacitance will be

A parallel plate capacitor with air as the dielectric has capacitance C. A slab of dielectric constant K and having the same thickness as the separation between plates is introduced so as to fill one-fourth of the capacitor as shown in the figure. The new capacitance will be :

A parallel plate capacitor has plate area A and plate separation d. The space betwwen the plates is filled up to a thickness x (ltd) with a dielectric constant K. Calculate the capacitance of the system.

Find the capacitance between A and B if two dielectric alabs (each of area A ) of dielectric constants K_(1) and K_(2) and thicknesses d_(1) and d_(2) are inserted between the plates of a parallel plate capacitor of plate area A . .

Find the capacitance between A and B if two dielectric slabs (each of thickness d) of dielectric constants K_(1) and K_(2) and areas K_(1) and K_(2) and inserted between the plates of a parallel plate capacitor of plate area A . .

A parallel plate air capacitor has capacitance C. Half of space between the plates is filled with dielectric of dielectric constant K as shown in figure . The new capacitance is C . Then

A battery charges a parallel plate capacitor of thickness (d) so that an energy [U_(0)] is stored in the system. A slab of dielectric constant (K) and thickness (d) is then introduced between the plates of the capacitor. The new energy of the system is given by

DC PANDEY ENGLISH-ELECTROSTATIC POTENTIAL AND CAPACITORS-(A) Chapter exercises
  1. A charged oil drop of mass 2.5xx10^(-7)kg is in space between the two ...

    Text Solution

    |

  2. A capacitor of 4 mu F is connected as shown in the circuit. The intern...

    Text Solution

    |

  3. A parallel plate capacitor is made of two dielectric blocks in series....

    Text Solution

    |

  4. A number of capacitors each of capacitance 1 muF and each one of whic...

    Text Solution

    |

  5. A series combination of n(1) capacitors, each of value C(1), is charge...

    Text Solution

    |

  6. Two charges +6 muC and -4 muC are placed 15 cm apart as shown. At what...

    Text Solution

    |

  7. Assume that an electric field vec(E) = 30 x^(2) hat(i) exists in spac...

    Text Solution

    |

  8. An electron initially at rest falls a distance of 1.5 cm in a uniform ...

    Text Solution

    |

  9. A long, hollow conducting cylinder is kept coaxially inside another lo...

    Text Solution

    |

  10. The potential at a point x ( measured in mu m) due to some charges sit...

    Text Solution

    |

  11. Three charges Q, +q and +q are placed at the vertices of a right-angle...

    Text Solution

    |

  12. Four point charges each +q is placed on the circumference of a circle ...

    Text Solution

    |

  13. The resultant capacitance between A and B in the following figure is e...

    Text Solution

    |

  14. In the following circuit, the resultant capacitance between A and B is...

    Text Solution

    |

  15. A small conducting sphere of radius r is lying concentrically inside a...

    Text Solution

    |

  16. A parallel plate air capacitor has a capacitance C. When it is half fi...

    Text Solution

    |

  17. Charge Q is uniformly distributed on a dielectric rod AB of length 2l....

    Text Solution

    |

  18. The arc AB with the centre C and the infinitely long wire having line...

    Text Solution

    |

  19. Two charges q(1) and q(2) are placed 30 cm apart, as shown in the figu...

    Text Solution

    |

  20. Three identical metallic uncharged spheres A, B and C of radius a are ...

    Text Solution

    |