Home
Class 12
PHYSICS
A parallel-plate capacitor of area A, pl...

A parallel-plate capacitor of area A, plate separation d and capacitance C is filled with four dielectric materials having dielectric constants `k_1,k_2,k_3` and `k_4` as shown in the figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by

A

`1/K=1/K_1+1/K_2+1/K_3+3/(2K_4`

B

`K=K_1+K_2+K+3+3K_4`

C

`K=2/3(K_1+K_2+K_3)+2K_4`

D

`1/K=3/(K_1+K_2+K_3)+1/K_4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    PATHFINDER|Exercise QUESTION BANK|50 Videos

  • MAGNETIC EFFECT OF CURRENT AND ELECTROMAGNETISM-I,II AND III

    PATHFINDER|Exercise QUESTION BANK|213 Videos

Similar Questions

Explore conceptually related problems

A parallel plate capacitor has capacitance C. If it is equally filled with parallel layers of materials of dielectrics K_1 and K_2 —

Half of the space between the plates of a parallel-plate capacitor is filled with a dielectric material of dielectric constant K. The remaining halt contains air as shown in the figure. The capacitor is now given a charge Q. Then

You are given an air filled parallel plate capacitor C_1 . The space between its plates is now filled with slabs of dielectric constants K_1 and K_2 as shown in C_2 . Find the capacitance of C_2 .

A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20V. If a dielectric material of dielectric constant k=(5)/(3) is inserted between the plates, the magnitude of the induced charge will be

A parallel plate capacitor is made of two circular plates separated by a distance of 5mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3xx10^(4) V/m , the charge density of the positive plate will be close to

A parallel plate capacitor is constructed using three different dielectric materials as shown. br> Find the equivalent capacitance.

A parallel plate air capacitor of plate separation d is charged to a potential difference triangle V . A slab of thickness d and dielectric constant k is introduced between the plates while the battery remains connected. What happens to the charge on the capacitor?

A parallel plate capacitor has a capacitance of 50muF in air and 110muF when immersed in oil, the dielectric constant of the oil is

Correct value of dielectric constant ‘K’ in the relation given is—

PATHFINDER-ELECTROSTATICS-I, II AND III-QUESTION BANK
  1. Two identical charged spheres suspended from a common point by two mas...

    Text Solution

    |

  2. An electric dipole is placed at an angle of 30^@ with an electric fiel...

    Text Solution

    |

  3. A parallel-plate capacitor of area A, plate separation d and capacitan...

    Text Solution

    |

  4. A long cylindrical shell carries positive surface charge sigma in the ...

    Text Solution

    |

  5. A uniformly charged solid sphere of radius R has potential V0 (measure...

    Text Solution

    |

  6. In the given circuit, charge Q2 on the 2muF capacitor changes as C is ...

    Text Solution

    |

  7. A 5muF capacitor is connected in series with a 10muF capacitor. When a...

    Text Solution

    |

  8. A charge q is placed at one corner of a cube. The electric flux throug...

    Text Solution

    |

  9. Two charges +q and -q are placed at a distance ‘a’ in a uniform electr...

    Text Solution

    |

  10. If potential (in volts) in a region is expressed as V(x, y, z) = 6 xy-...

    Text Solution

    |

  11. A parallel plate air capacitor has capacity 'C' distance of separation...

    Text Solution

    |

  12. Consider two concentric spherical metal shells of radii r1 and r2(r2gt...

    Text Solution

    |

  13. Assume that an electric field oversettoE=30x^2overset^i exists in spac...

    Text Solution

    |

  14. A conducting sphere of radius R is given a charge Q. The electric pote...

    Text Solution

    |

  15. In a region, the potential is represented by V(x, y, z) =6x - 8xy-8y +...

    Text Solution

    |

  16. Two capacitors of capacities C1 and C2 are charged to 120 V and 200 ...

    Text Solution

    |

  17. Two charges, each equal to q are kept at x = - a and x = a on the X-ax...

    Text Solution

    |

  18. A charge Q is uniformly distributed over a long rod AB of length L as ...

    Text Solution

    |

  19. A. B and C are three points in a uniform electric field. The electric ...

    Text Solution

    |

  20. Two pith balls carrying equal charges are suspended from a common poin...

    Text Solution

    |