Home
Class 12
PHYSICS
A circular coil of radius R carries an e...

A circular coil of radius R carries an electric current i. The magnetic field at a point on the axis at a distance x from the centre of the coil `(xgtgtR)` varies as

A

`B=(mu_(0))/(2)(IR^(2))/(x^(2))`

B

`B=(muIR^(2))/(2x^(3))`

C

`B=(muIR)/(2x^(2))`

D

`B=(mu_(0)IR)/(2x^(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MAGNETISM -1

    MOTION|Exercise Exercise - 1 SECTION -A :- Magnetif field due to straight wire|10 Videos
  • MAGNETISM -1

    MOTION|Exercise Exercise - 1 SECTION -B :- Magnetic field due to cylinder|11 Videos
  • MAGNETISM -1

    MOTION|Exercise Exercise - 3 SECTION -A|56 Videos
  • MAGNETISM

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|40 Videos
  • MATTER WAVE

    MOTION|Exercise EXERCISE 3 (SECTION B)|7 Videos

Similar Questions

Explore conceptually related problems

A circular coil of radius R carries an electric current. The magnetic field due to the coil at a point on the axis of the coil located at a distance r from the centre of the coil, such that r gtgt R , varies as

A circular coil of n turns and radius r carries a current I. The magnetic field at the center is

A circular coil of radius R carriers an electric current. The magnetic field due to the coil at a point on the axis of the coil located at a distance r from the centre of the coil, such that rgt gtR , varries as

A circular coil of radius r carries a current I. The magnetic field at its centre is B. At what distance from the centre, on the axis of the coil the magneitc field will be B/27 ?

A circular coil of radius R carries a current i . The magnetic field at its centre is B . The distance from the centre on the axis of the coil where the magnetic field will be B//8 is

A circular coil of radius 5 cm has 169 turns carries a current of 2.6 A . The magnetic induction at a point on the axis at a distance of 12 cm from the centre of the coil is

Magnetic field at the centre of a circular coil of radius R due to curent i flowing through it is B. The magnetic field at a point along the axis at distance R from the centre is :

For a circular coil of radius R and N turns carrying current I, the magnitude of the magnetic field at a point on its axis at a distance x from its centre is given by B=(mu_0IR^2N)/(2(x^2+R^2)^(3//2)) (a) Show that this reduces to the familiar result for field at the centre of the coil. (b) Consider two parallel coaxial circular coils of equal radius R, and number of turns N, carrying equal currents in the same direction, and separated by a distance R. Show that the field on the axis around the mid-point between the coils is uniform over a distance that is small as compared to R and is given by B=0*72(mu_0NI)/(R) approximately. [Such as arrangement to produce a nearly uniform magnetic field over a small region is known as Helmholtz coils.]

MOTION-MAGNETISM -1-QUESTIONS FOR PRACTICE
  1. As shown in diagram, two perpendicular wire are placed very close to e...

    Text Solution

    |

  2. At a distance of 10 cm from a long straight wire carrying current, the...

    Text Solution

    |

  3. A circular coil of radius R carries an electric current i. The magneti...

    Text Solution

    |

  4. Figure shows three cases: in all case the circular part has radius r a...

    Text Solution

    |

  5. If the magnetic induction at a point on the axis of current coil is ha...

    Text Solution

    |

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

    Text Solution

    |

  7. The radius and number of turns of a circular coil are doubled. The mag...

    Text Solution

    |

  8. In a current carrying long solenoid, the field produced does not depen...

    Text Solution

    |

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

    Text Solution

    |

  10. Two straight infinitely long and thin parallel wires are spaced 0.1m a...

    Text Solution

    |

  11. A current of one ampere is passed through a straight wire of length 2*...

    Text Solution

    |

  12. A toroid has number of turns per unit length n, current i, then the ma...

    Text Solution

    |

  13. The current on the winding of a toroid is 2 A. It has 400 turns and me...

    Text Solution

    |

  14. A circular loop has a radius of 5 cm and it is carrying a current of 0...

    Text Solution

    |

  15. The magnetic moment of a circular coil carrying current is

    Text Solution

    |

  16. In a hydrogen atom , an e^(-) moves in Bohr 's orbit of radius r=5xx10...

    Text Solution

    |

  17. A charged particle is moving with velocity'V' in a magnetic field of i...

    Text Solution

    |

  18. When a conductor of length l carrying a current I is placed in a magne...

    Text Solution

    |

  19. A charge q moves region in a electric field E and the magnetic field B...

    Text Solution

    |

  20. An electron is moving with speed 2xx10^5 m//s along the positive x-dir...

    Text Solution

    |