Home
Class 12
PHYSICS
A parallel-plate capacitor has plates of...

A parallel-plate capacitor has plates of area `10cm^(2)` separated by a distance of 1mm. It is filled with the dielectric mica and connected to a battery of emf 6 volts. Find the leakage current through the capacitor. Resistivity of mica`=1xx10^(13)(Omega)m`.

Text Solution

Verified by Experts

The resistance of the mica between the two faces is
`(rho)(l)/(A)=((1xx10^(13)(Omega)m)xx10^(-3)m)/(10.0xx10^(-4)m^(2))`
`=1xx10^(13)(Omega)`.
The leakage current`=6V/1xx10^(13)(Omega))=6xx10^(-13)A.`
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CURRENT IN CONDUCTORS

    HC VERMA|Exercise worked out Example|1 Videos

  • ELECTRIC CURRENT IN CONDUCTORS

    HC VERMA|Exercise Short Answer|17 Videos

  • ELECTRIC CURRENT IN CONDUCTORS

    HC VERMA|Exercise Exercises|84 Videos

  • DISPERSION AND SPECTRA

    HC VERMA|Exercise Exercises|11 Videos

  • ELECTRIC CURRENT THROUGH GASES

    HC VERMA|Exercise Exercises|23 Videos

Similar Questions

Explore conceptually related problems

Calculate the capacitantce of two plates of equal area of 1 m^(2) separated by distance 1 mm

A parallel plate capacitor is made of two circular plates separated by a distanc 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 :

The charge on a parallel plate capacitor varies as q=q_(0)cos 2pi v t . The plates are very large and close together (area = A, separation = d). Neglecting the edge effects, find the displacement current through th capacitor.

The resistance of a conducting wire is 10 Omega . If a battery of 1.5 V is connected to it, the electric current flowing through it will be ………………….. .

The plates or a parallel plate capacitor have an area of 90 cm^(2) each and are separated by 2.5 mm. The capacitor is charged by connecting It to a 400 V supply. (a) How much electrostatic energy is stored by the capacitor ? (b) View this energy as stored in the electrostatic field between the plates, und obtain the energy per unit volume "· Hence arrive at a relation between u and the magnitude of electric field E between the plates.

A parallel plate capacitor made of circular plates each of radius R = 6.0 cm has a capacitance C = 100 pF. The capacitor is connected to a 230 V ac supply with a (angular) frequency of 300 rad s^(-1) . Is the conduction current equal to the displacement current ?

The plates of a parallel plate capacitor have an area of 90 cm^2 each and are separated by 2.5 mm. The capacitor is charged by connecting it to a 400 V supply. (a) How much electrostatic energy is stored by the capacitor? (b) View this energy as stored in the electrostatic field between the plates, and obtain the energy per unit volume u. Hence arrive at a relation between u and the magnitude of electric field E between the plates.

In a parallel plate capacitor with air between the plates, each plate has an area of 6 xx 10^(-3)m^(2) and the distance between the plates is 3 mm. Calculate the capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the charge on each plate of the capacitor?

A parallel plate capacitor is to be designed using a dielectric of dielectric constant 5, so as to have a dielectric strength of 10^(9) Vm^(-1) . If the voltage rating of the capacitor is 12 kV, the minimum area of each plate required to have a capacitance of 80 pF is .........

HC VERMA-ELECTRIC CURRENT IN CONDUCTORS-Worked Out Examples
  1. A current 4.0 A exist in a wire of cross-sectional area 2.0 mm^(2). If...

    Text Solution

    |

  2. Find the resistance of a copper coil of total wire-length 10m and area...

    Text Solution

    |

  3. A parallel-plate capacitor has plates of area 10cm^(2) separated by a ...

    Text Solution

    |

  4. Find the resistance of a hollow cylindrical conductor of length 1.0m a...

    Text Solution

    |

  5. A battery of emf 2V and internal resistance 0.5(Omega)is connected acr...

    Text Solution

    |

  6. A cell of e.m.f. 2V and internal resistance 0.1Omega is being charged ...

    Text Solution

    |

  7. Shown n batteries connected to form a circuit. The resistances denote ...

    Text Solution

    |

  8. A copper rod of length 20cm and cross-sectional area 2mm^(2)is joined ...

    Text Solution

    |

  9. A wire of resistance 10(Omega)is bent to form a complete circle.Find i...

    Text Solution

    |

  10. find the currents in the different resistor shown in figure.

    Text Solution

    |

  11. Find the current supplied by the battery in the circuit shown in figur...

    Text Solution

    |

  12. Find the equivalent resistance between the point a and b of the networ...

    Text Solution

    |

  13. Find the effective resistance between the points A and B in figure.

    Text Solution

    |

  14. Find the equivalent resistance of the network shown in figure between ...

    Text Solution

    |

  15. Each resistor shown in figure has a resistance of 10(Omega)and the bat...

    Text Solution

    |

  16. Find the equivalent resistances of the nerwork shown in figure between...

    Text Solution

    |

  17. In the circuit shown in figure E,F, G and H are cell of emf 2,1,3, and...

    Text Solution

    |

  18. Find the equivalent resistance between the point a and b of the circui...

    Text Solution

    |

  19. Find the currents going through the three resistors R(1),R(2)and R(3)'...

    Text Solution

    |

  20. Twelve wire, each having resistance r, are joined to form a cube as sh...

    Text Solution

    |