Home
Class 12
PHYSICS
A constant electric current flows along ...

A constant electric current flows along a uniform wire with cross-sectional radius `R` and heat conductivity coefficient `x`. A unit volume of the wire generates a thermal power `omega`. Find the temperature distribution across the wire provided the steady-state temperature at the wire surface is equal to `T_0`.

Text Solution

Verified by Experts

The correct Answer is:
`[T = T_(0)+(R^(2)-r_(2))omega//4k]`
Promotional Banner

Topper's Solved these Questions

  • HEAT TRANSFER

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs with One or More Option Correct|20 Videos
  • HEAT AND THERMAL EXPANSION

    PHYSICS GALAXY - ASHISH ARORA|Exercise UNSOLVED NUMRICAL PROBLEMS FOR PREPARATION OF NSEP, INPhO & IPhO|82 Videos
  • Kinetic Theory of Gases and Gas Laws

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems for Preparation of NSEP, INPhO & IPhO|64 Videos

Similar Questions

Explore conceptually related problems

The thermal power of density omega is generated uniformly inside a uniform sphere of radius R and heat conductivity coefficient x . Find the temperature distribution in the sphere provided the steady-state temperature at its surface is eqal to T_0 .

The thermal powered density u is generated uniformly inside a uniform sphere of radius R and thermal conductivity Find the temperature distribution in the sphere when the steady state temperature at the surface is T_(0) .

When heat flows through a wire of uniform cross section under steady state, then

A direct current of density j flows along a round unifrom staright wire with cross-section radius R . Find the magnectic induction vector of this current at the point whose position relative to the axis of the wire is defined by a radius vector r . The magentic permeabilility is assumed to be equla to unity thoughhout all the space.

PHYSICS GALAXY - ASHISH ARORA-HEAT TRANSFER -Unsolved Numerical Problems for Preparation of NSEP,INPhO&IPhO
  1. Find the temperature distribution in a substance palced between two pa...

    Text Solution

    |

  2. Four spheres A, B, C and D of different metals but all same radius are...

    Text Solution

    |

  3. A closed cubical box made of perfectly insulating material has walls o...

    Text Solution

    |

  4. The solar energy received by the Earth persquare metre per minute is 8...

    Text Solution

    |

  5. Two solid spheres are heated to the same temperature allowed to cool u...

    Text Solution

    |

  6. A metal block with a heater in it is placed in a room at temperature 2...

    Text Solution

    |

  7. In a cylindrical metallic vessel some water is taken and is put on a b...

    Text Solution

    |

  8. A system S receives heat continuously from an electric heater of power...

    Text Solution

    |

  9. In winters ice forms on the surface of a lake. Due to abnormal expansi...

    Text Solution

    |

  10. Two spheres of the same material have radii 1m and 4m and temperature...

    Text Solution

    |

  11. The temperature of the tungsten filament of a 40 watt lamp is 1655^(@)...

    Text Solution

    |

  12. A cubical tank of water of volume 1m^(3) is kept at a constant tempera...

    Text Solution

    |

  13. Find the temperature distribution in the space between two coaxial cyl...

    Text Solution

    |

  14. A cube a = 3.0 cm on each side radiates energy at the rate of P = 20 J...

    Text Solution

    |

  15. Solve the foregoing problem for the case of two concentric spheres of ...

    Text Solution

    |

  16. A long tungsten heater wire is rated at 3 kWm^(-1) and is 5.0 xx 10^(-...

    Text Solution

    |

  17. A constant electric current flows along a uniform wire with cross-sect...

    Text Solution

    |

  18. An iron boiler with walls 1.25 cm thick contains water at atmospheric ...

    Text Solution

    |

  19. A thin wire of length l=50cm and area of cross-section S=3xx10^(-4)m^(...

    Text Solution

    |

  20. In the figure-4.51 shown here, S is a source of heat supplying energy ...

    Text Solution

    |