Home
Class 12
PHYSICS
The plates of a parallel plate capacitor...

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.
How much electrostatic energy is stored by the capacitor ?

Text Solution

Verified by Experts

Here `A = 90 cm^2 = 90 xx 10^(-4) m^2, d = 2.5 mm = 2.5 xx 10^(-3) m and V = 400 V`
`:." Capacitance " C = (epsi_0A)/d = (8.85 xx 10^(-12) xx 90 xx 10^(-4))/(2.5 xx 10^(-3)) = 31.86 xx 10^(-12) F`
`:. " Electrostatic energy " u = 1/2 CV^2 = 1/2 xx 31.86 xx 10^(-12) xx (400)^2 = 2.55 xx 10^(-6)J`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise CASE BASED/SOURCE-BASED INTEGRATED QUESTIONS|18 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise MULTIPLE CHOICE QUESTIONS|35 Videos
  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    U-LIKE SERIES|Exercise SELF ASSESSMENT TEST|1 Videos
  • ELECTROMAGNETICE INDUCTION

    U-LIKE SERIES|Exercise Self Assessment Test Section -D|1 Videos
  • EXAMINATION PAPER 2020 (SOLVED)

    U-LIKE SERIES|Exercise SECTION D|6 Videos

Similar Questions

Explore conceptually related problems

The plates of a paralllel plate capacitor have an area of 90 cm^(2) each and are separated by 2.5mm. The capacitane is charged by connecting it to a 400V 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 realtion between U and the magnitude of electric field E between the plates.

The plates of a parallel plate capacitor have an area of 90cm^(2) each and are separated by a 2mm The capacitor is charged by connecting it to a 400V supply.Then the density of the energy stored in the capacitor ..........?

The plates of a parallel plate capacitor have on area of 90 cm^(2) each and are separated by 2.5 mm . The capacitor is charged to 400 V. How much electrostatic energy is stored in it ? How much when it is filled with a dielectric medium K = 3 and then charged ? If it is first charged as an air capacitor and then filled with th dielectric, then ?

The plates of a parallel plate capacitor have an area of 90cm^(2) and each are separated by 2mm. The capacitor is charged by connecting it to a 400 V supply. Then the energy density of the energy stored (in Jm^(-3) ) in the capacitor is (take epsi_(0)=8.8xx10^(-12)Fm^(-1) )

The plates of a parallel plate capacitor have an area of 100cm^(2) each and area separated by 2.5 mm. the capacitor is charged to 200V. Calculate the energy stored in the capacitor.

A 12 pF capacitor is connected to a 50 V battery. How much electrostatic energy is stored in the capacitor ?

A parallel plate capacitor has plates of area 4 m^2 separated by distance of 0.5 mm. The capacitor is connected across a cell of emf 100 V. Find the capacitance, charge and energy stored in the capacitor.

Calculate capacitance of a parallel plate capacitor with area of each plate 1 cm^(2) and separation 1 mm.

U-LIKE SERIES-ELECTROSTATIC POTENTIAL AND CAPACITANCE -ADDITIONAL EXERCISES
  1. What is the area of the plates of a 2 F parallel plate capacitor, give...

    Text Solution

    |

  2. Obtain the equivalent capacitance of the network in Fig. For a 300 V s...

    Text Solution

    |

  3. The plates of a parallel plate capacitor have an area of 90 cm^2? each...

    Text Solution

    |

  4. The plates of a parallel plate capacitor have an area of 90 cm^2? each...

    Text Solution

    |

  5. A 4 muF capacitor is charged by a 200 V supply. It is then disconnecte...

    Text Solution

    |

  6. Show that the force on each plate of a parallel plate capacitor has a ...

    Text Solution

    |

  7. Two large conducting spheres carrying charges Q1 and Q2 are brought cl...

    Text Solution

    |

  8. If Coulomb's law involved 1//r^3 dependence (instead of 1//r^2), would...

    Text Solution

    |

  9. A small test charge is released at rest at a point in an electrostatic...

    Text Solution

    |

  10. What is the work done by the field of a nucleus in a complete circular...

    Text Solution

    |

  11. We know that electric field is discontinuous across the surface of a c...

    Text Solution

    |

  12. What meaning would you give to the capacitance of a single conductor ?

    Text Solution

    |

  13. Guess a possible reason why water has a much greater dielectric consta...

    Text Solution

    |

  14. A parallel plate capacitor is to be designed with a voltage rating 1 k...

    Text Solution

    |

  15. Describe schematically the equipotential surfaces corresponding to ...

    Text Solution

    |

  16. A small sphere of radius r1 and charge q1 is enclosed by a spherical s...

    Text Solution

    |

  17. The top of the atmosphere is at about 400 kV with respect to the surfa...

    Text Solution

    |

  18. A man fixes outside his house one evening a two metre high insulating ...

    Text Solution

    |

  19. The discharging current in the atmosphere due to the small conductivit...

    Text Solution

    |

  20. What are the forms of energy into which the electrical energy of the a...

    Text Solution

    |