Home
Class 12
PHYSICS
Consider a cylindrical conductor of leng...

Consider a cylindrical conductor of length L and area of cross - section A. The specific conducivity varies as `sigma(x)=sigma_(0)(L)/(sqrtx)` where x is the distance along the axis of the cylinder from one of its ends. The resistance of the system along the cylindrical axis is

A

The electric resistance of cylinder along its axis is `l/(2sigma_(0)A)`

B

The electric current in the wire will be `(V_(0)sigma_(0)A)/(2l)`

C

The electric current in the wire will be `(2V_(0)sigma_(0))/(l)`

D

The electric field in the wire at x in xylinder will be `(2V_(0))/l^(2)x`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-4)|12 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exrcies-3(PART-1)|22 Videos

  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-2)|16 Videos

  • COMMUNICATION SYSTEMS

    RESONANCE ENGLISH|Exercise Exercise 3|13 Videos

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP.No.71|1 Videos

Similar Questions

Explore conceptually related problems

The cross-section area and length of cylindrical conductor are A and l respectively. The specific conductivity varies as sigma(x)=sigma_(0)(l)/(sqrt(x)) , where x is the distance along the axis of the cylinder from one of its ends. Compute the resistance of the system along the cylindrical axis.

A cylindrical conductor of length l and uniform area of cross-section A has resistance R . Another conductor of length 2 l and resistance R of the same material has area of cross-section :

A cylindrical conductor has length l and area of cross section A. Its conductivity changes with distance (x) from one of its ends as sigma = sigma_(0) (l)/(x). [sigma_(0) "is a constant"] . Calculate electric field inside the conductor as a function of x , when a cell of emf V is connected across the ends.

Resistance of a conductor of length l and area of cross-section A is R. If its length is doubled and area of cross-section is halved, then find its new resistance.

Resistance of a conductor of length l and area of cross-section A is R. If its length is doubled and area of cross-section is halved, then find its new resistance.

A conductor of length l has a non-uniform cross-section. The radius of cross-section varies linearly from a to b . The resistivity of the material is rho . Find the resistance of the conductc across its ends.

A cylindrical conductor of radius R carrying current i along the axis such that the magnetic field inside the conductor varies as B=B_(0)r^(2)(0lt r leR) , then which of the following in incorrect?

The density of a rod of length L varies as rho=A+Bx where x is the distance from the left end. Locate the centre of mass.

Consider a wire of length l, area of cross section A, and resistivity rho with resistance 10 Omega . Its length is increased by applying a force, and it becomes four times of its original value. Find the changed resistance of the wire.

A current is flowing through a cylinderical conductor of radius R, such that current density at any cross-section is given by J = J_(0)(1-(r )/(R )) , where r is radial distance from axis of the cylinder .Calculate the total current through the cross-section of the conductor.

RESONANCE ENGLISH-CURRENT ELECTRICITY-Exercise-2 (Part-3)
  1. When no current is passed through a conductor,

    Text Solution

    |

  2. The current density in a wire is 10A//cm^(2) and the electric field in...

    Text Solution

    |

  3. A bulb is conneted to an ideal battery of emf 10 V so that the resulti...

    Text Solution

    |

  4. Consider a cylindrical conductor of length L and area of cross - secti...

    Text Solution

    |

  5. N cells each of e.m.f. E & internal resistance r are grouped into sets...

    Text Solution

    |

  6. In the circuit shown in fig. the cell has emf 10V and internal resista...

    Text Solution

    |

  7. In the network shown, points A, B and C have potentials of 70 V, zero ...

    Text Solution

    |

  8. In the circuit shown in figure

    Text Solution

    |

  9. A battery of emf E and internal resistance r is connected across a res...

    Text Solution

    |

  10. Potential difference across the terminal of a non ideal battery is

    Text Solution

    |

  11. A cell of emf epsilon and internal resistance r drives a current i thr...

    Text Solution

    |

  12. In the given figure, E=12V, R(1)=3Omega, R(2)=2Omega" and "r=1Omega. T...

    Text Solution

    |

  13. In a potentiometer wire experiment the emf of a battery in the primary...

    Text Solution

    |

  14. By mistake, voltmeter is connected in series and an ammeter in paralle...

    Text Solution

    |

  15. A microammeter has as resistance of 100 Omega and full scale range of ...

    Text Solution

    |

  16. Two cells of unequal emfs epsi(1)" and "epsi(2), and internal resistan...

    Text Solution

    |

  17. Three voltmeters all having different resistance, are joined as shown....

    Text Solution

    |

  18. In the potentiometer arrangement shown, the driving cell A has emf eps...

    Text Solution

    |

  19. Choose the correct alternatives A. Ratio of de-Broglie wavelengths ...

    Text Solution

    |

  20. Which of the following statement is/are correct?

    Text Solution

    |