Home
Class 12
PHYSICS
A theostat has 1000 turn a wire radius 0...

A theostat has `1000` turn a wire radius `0.4 mm` having resistivity `49xx 10^(-8) Omega m`. The diameter of each turn is `4 cm. What are the maximum value of conductance and conductivity of rheostat wire.

Text Solution

Verified by Experts

The correct Answer is:
`24.5 Omega`

Here length of wire used , `l = 100 pi D`
`R = (rhol)/(pi r^(2)) = (rho 100 pi D)/(pi r^(2)) = (100 rho D)/(r^(2))`
`= (100 xx (4.9 xx 10^(-8)) xx (5.0xx 10^(-2)))/((0.1 xx 10^(-3))^(2)) = 24.5 Omega`
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    PRADEEP|Exercise Jee (main and advance)|4 Videos
  • CURRENT ELECTRICITY

    PRADEEP|Exercise Interger Type|2 Videos
  • CURRENT ELECTRICITY

    PRADEEP|Exercise Value based|2 Videos
  • COMMUNICATION SYSTEMS

    PRADEEP|Exercise MODEL TEST PAPER-2|9 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    PRADEEP|Exercise Exercise|191 Videos

Similar Questions

Explore conceptually related problems

A rheostat has 100 turns of a wire of radius 0.4 mm having resistivity 4.2xx10^(-7) Omega m. The diameter of each turn is 3 cm. What is the maximum value of resistance that it can introduce ?

The radius of ametallic sphere is 9 cm. It was melted to make a wire of diameter 4 mm. Find the length of the wire.

The resistivity os copper is 1.76 xx 10^-8 ohm m. The radius of the wire is 1 mm . Calculate the length of a telegraph wire needed for having a resistance of 10.5 Omega .

What is the length of a nichrome wire of radius 0.32 mm, resistance 9.3 Omega and resistivity 15 xx 10^(-6)Omega m ? If a potnetial differences of 10 V is applied across the wire, what will be the current in the wire ?

A wire of length 1 m and radius 0.1mm gas a resistance of 100(Omega) .Find the resistivity of the material .

The resistance of a wire of length 40 m and radius o.25 mm is 10 Omega . The conductivity of the material of the wire is

What is the length of a wire of radius 0.2 mm and resitance 25 Omega ? The restivity of the material of the wire is 2pi xx 10^(-8) Omega.m.

PRADEEP-CURRENT ELECTRICITY-Exercise
  1. A wire stretched to increase its length by5%. Calculate percentage cha...

    Text Solution

    |

  2. A hollow cylinder of length l and of radii a and b is filled with a ma...

    Text Solution

    |

  3. A theostat has 1000 turn a wire radius 0.4 mm having resistivity 49xx ...

    Text Solution

    |

  4. Calculate the mass of copper required to draw a wire 5 km long having ...

    Text Solution

    |

  5. Two wires A and B of the same material have their lengths in the rati...

    Text Solution

    |

  6. A wire of 15 Omega resistance is gradually stretched to double in orig...

    Text Solution

    |

  7. Find the time of relation between collision and free path of electron...

    Text Solution

    |

  8. Calculate the conductance and conductivity of a wire of radius 0.01 Om...

    Text Solution

    |

  9. A theostat has 1000 turn a wire radius 0.4 mm having resistivity 49xx ...

    Text Solution

    |

  10. Currrent flows through a constriction conductor. The diameter and cur...

    Text Solution

    |

  11. A copper wire of diameter 0.16 cm connected in series to an aluminum w...

    Text Solution

    |

  12. A wire carries a current of 0.5A, when a potential differnece of 1.5 V...

    Text Solution

    |

  13. Calculate the radius of the wire of conductance 10 Omega^(-1) and leng...

    Text Solution

    |

  14. If the resistance of a conductor is 5 Omega at 50^(@)C and 7Omega at 1...

    Text Solution

    |

  15. Resistance of tungsten wire at 150^(@)C is 133 Omega. Its resistance t...

    Text Solution

    |

  16. The temperature coefficient of resistance of a wire is 0.00125 per .^...

    Text Solution

    |

  17. A copper coil has resistance of 20.0 Omega at 0^@C and a resistance of...

    Text Solution

    |

  18. (a) At what temperature would the resistance of a copper conductor be ...

    Text Solution

    |

  19. The temperature coefficient of resistance for two material A and B are...

    Text Solution

    |

  20. A carbon resistance of 4.7 k Omega is to be market with strips or hand...

    Text Solution

    |