Home
Class 12
PHYSICS
The magnetic field vec(dB) due to a smal...

The magnetic field `vec(dB)` due to a small current element `vec(dl)` at a distance `vec(r)` and carrying current `'I'` is

A

`vec(dB)=(mu_(0))/(4pi)((vec(dl)xxvecr)/r)`

B

`vec(dB)=(mu_(0))/(4pi)((vec(dl)xxvecr)/r)`

C

`vec(dB)=(mu_(0))/(4pi)I^(2)((vec(dl)xxvecr)/(r^(2)))`

D

`vec(dB)=(mu_(0))/(4pi)I((vec(dl)xxvecr)/(r^(3)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    ERRORLESS |Exercise QUESTIONS|126 Videos
  • MAGNETISM

    ERRORLESS |Exercise Assertion & Reason|1 Videos

Similar Questions

Explore conceptually related problems

The magnetic field bar(dB) due to a small current element bar(dl) at a distance vec(r) and carrying current 'I' is

The magnetic field dvecB due to a small current element dvecl at a distance vecr and element carrying current i is,

The magnetic field at the origin due to a current element I (vec dl ) placed at a positon (vec r) is

The magnetic field (d vecB) at a point due to an elemental conductor (d vecl) carrying a current (i) at a distance (vecr) from the elemetn, is given by

Magnetic Field due to a Current Carrying Conductor

The magnetic field at the origin due to a current element I vec(dl) placed at position r is (i) ((mu_(0)i)/(4pi))((dvec(l)xxvec(r))/(r^(3))) -((mu_(0)i)/(4pi))((dvec(l)xxvec(r))/(r^(3))) (iii) ((mu_(0)i)/(4pi))((vec(r)xxdvec(l))/(r^(3))) -((mu_(0)i)/(4pi))((vec(r)xxdvec(l))/(r^(3)))

ERRORLESS -MAGNETIC EFFECT OF CURRENT-Exercise
  1. If a long hollow copper pipe carriers a direct current, the magnetic f...

    Text Solution

    |

  2. If a long hollow copper pipe carriers a direct current, the magnetic f...

    Text Solution

    |

  3. The magnetic field vec(dB) due to a small current element vec(dl) at a...

    Text Solution

    |

  4. A charge q coulomb moves in a circle at n revolution per second and th...

    Text Solution

    |

  5. If a long horizontal conductor is bent as shown in figure and a curren...

    Text Solution

    |

  6. A current i ampere flows in a circular arc of wire whose radius is R, ...

    Text Solution

    |

  7. A current i ampere flows along the inner conductor of a coaxial cable ...

    Text Solution

    |

  8. A straight section PQ of a circuit lies along the X-axis from x=-a/2 t...

    Text Solution

    |

  9. A helium nucleus makes a full rotation in a circle of radius 0.8 metre...

    Text Solution

    |

  10. A solenoid of 1.5 metre length and 4.0 cm diameter posses 10 turn per ...

    Text Solution

    |

  11. The magnetic induction at apoint P which is at the distance 4 cm from ...

    Text Solution

    |

  12. The strength of the magnetic field at a point r near a long straight c...

    Text Solution

    |

  13. Field at the centre of a circular coil of radius r, through which a cu...

    Text Solution

    |

  14. A current of 0.1 A circulates around a coil of 100 turns and having a ...

    Text Solution

    |

  15. The magnetic field B with in the solenoid having n turns per metre len...

    Text Solution

    |

  16. The magnetic induction at the centre O in the figure shown in

    Text Solution

    |

  17. Field inside a solenoid is

    Text Solution

    |

  18. In the figure shown, the magnetic induction at the centre of the arc d...

    Text Solution

    |

  19. In the figure shown there are two semicircles of radii r(1) and r(2) i...

    Text Solution

    |

  20. The magnetic moment of a current carrying loop is 2.1xx10^(-25) ampxxm...

    Text Solution

    |