Home
Class 12
PHYSICS
A loop carrying current I lies in the x-...

A loop carrying current I lies in the x-y plane as shown in the figure. The unit vector k is coming out of the plane of the paper. The magnetic moment of the current loop is:

A

`a^(2)Ihatk`

B

`(pi/2+1)a^(2)Ihatk`

C

`-(pi/2+1)a^(2)Ihatk`

D

`(2pi+1)a^(2)Ihatk`

Text Solution

Verified by Experts

The correct Answer is:
B
Area`=a^(2)+4xxpi((a)/(2))^(2)/2`
`=a^(2)+(pia^(2))/2`
`A=(1+pi/2)a^(2)hatk`
Promotional Banner

Topper's Solved these Questions

  • ELECTRODYNAMICS

    RESONANCE ENGLISH|Exercise Exercise-3 PART-2|27 Videos

  • ELECTRODYNAMICS

    RESONANCE ENGLISH|Exercise Exercise-3 PART-3|29 Videos

  • ELECTRODYNAMICS

    RESONANCE ENGLISH|Exercise Exercise-2 PART-3 COMPREHENSION- 3|5 Videos

  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

  • ELECTROMAGNETIC INDUCTION

    RESONANCE ENGLISH|Exercise A.l.P|19 Videos

Similar Questions

Explore conceptually related problems

A loop carrying current I lies in the x-y plane as shown in the figure . The unit vector hat k is coming out of the plane of the paper . The magnetic moment of the current loop is

A loop carrying current I lies in the x-y plane as shown in the figure . The unit vector hat k is coming out of the plane of the paper . The magnetic moment of the current loop is

A wire loop carrying current I is placed in the x-y plane as shown. Magnetic induction at P is

A square loop of mass M side a and carrying current I_(0) lies in the x-y plane as shown in the figure. It is hinged at y-axis so that it can freely rotate about it. Moment of inertia of the loop about an axis through its c.m and normal to its plane is equal to gammaMa^(2) . At t = 0, an external magnetic field of induction B is applied along +ve x axis. The initial angular acceleration of the loop is equal to

A loop PQR carries a current i = 2A as shown in the figure. A uniform magnetic field B = 2T exists in space parallel to the plane of the loop . The magnetic torque on the loop is

A wire loop carrying current I is placed in the x-y plane as shown in the figure. If an external uniform magnetic field vec(B)=B hat(i) is switched on, then the torque acting on the loop is

A circular loop carrying a current I is placed in the xy-plane as shown in figure. A uniform magnetic fied B is oriented along the positive z-axis. The loop tends to

(a) Two straight long parallel conductors carry currents I_(1) and I_(2) in the same direction. Deduce the expression for the firce per unit length between them. Depict the pattern of magnetic field lines around them. (b) A rectangular current carrying loop EFGH is kept in a uniform magnetic field as shown in the figure. (i) What is the direction of the magnetic moment of the current loop ? (ii) What is the torque acting on the loop (A) maximum, (B) zero ?

Circular loop of a wire and a long straight wire carry current I_(c ) and I_(e ) respectively as shown in figure. Assuming that these are placed in the same plane. The magnetic field will be zero at the centre of the loop when the separation H is:

In Fig ABCDEFA was a square loop of side l, but is folded in two equal parts so that half of it lies in the x-z plane and the other half lies in the y-z plane. The origin O is centre of the frame also. The loop carries current 'i'. The magnetic field at the centre is

RESONANCE ENGLISH-ELECTRODYNAMICS-Exercise-3 PART-1
  1. In a moving coil galvanometer, torque on the coil can be experessed as...

    Text Solution

    |

  2. Which of the following statements is correct in the given figure.

    Text Solution

    |

  3. A magnetic field B=B(0)hatj exists in the region a lt x lt 2a and B=-B...

    Text Solution

    |

  4. A particle of mass m and charge q, moving with velocity v enters regio...

    Text Solution

    |

  5. A steady current I goes through a wire loop PQR having shape of a righ...

    Text Solution

    |

  6. A thin flexible wire of length L is connected to two adjacent fixed po...

    Text Solution

    |

  7. An electron and a proton are moving on straight parallel paths with sa...

    Text Solution

    |

  8. A long insulated copper wire is closely wound as a spiral of N turns. ...

    Text Solution

    |

  9. Consider the motion of a positive point charge in a region where there...

    Text Solution

    |

  10. A cylinderical cavity of diameter a exists inside a cylinder of diamet...

    Text Solution

    |

  11. A loop carrying current I lies in the x-y plane as shown in the figure...

    Text Solution

    |

  12. An infinitely long hollow conducting cylinder with inner radius (R)/(2...

    Text Solution

    |

  13. A particle of mass m and charge q moves with a constant velocity v alo...

    Text Solution

    |

  14. A steady current I flows along an infinitely long hollow cylindrical c...

    Text Solution

    |

  15. Two parallel wires in the plane of the paper are distance x(0) apart...

    Text Solution

    |

  16. The figure shows a circular loop of radius a with two long parallel wi...

    Text Solution

    |

  17. The figure shows a circular loop of radius a with two long parallel wi...

    Text Solution

    |

  18. A conductor (shown in the figure) carrying constant current I is kept ...

    Text Solution

    |

  19. In a thin rectangular metallic strip a constant current I flows along ...

    Text Solution

    |

  20. In a thin rectangular metallic strip a constant current I flows along ...

    Text Solution

    |