Home
Class 12
PHYSICS
Three rings, each having equal radius R,...

Three rings, each having equal radius R, are placed mutually perpendicular to each other and each having its centre at the origin of coordinate system. If current I is flowing through each ring, then the magnitude of the magnetic field at the common centre is

A

`sqrt(3)(mu_(3)I)/(2R)`

B

zero

C

`(sqrt(2)-1)(mu_(0)I)/(2R)`

D

`(sqrt(3)-sqrt(2))(mu_(0)I)/(2R)`

Text Solution

Verified by Experts

The correct Answer is:
A
`vec(B)=(mu_(0)I)/(2R)(+-hat(i))+(mu_(0)I)/(2R)(+-hat(j))+(mu_(0)I)/(2R)(+-hat(k))`
`|vec(B)|=(mu_(0)I)/(2R)sqrt(3)`
Promotional Banner

Topper's Solved these Questions

  • MOVING CHARGES AND MAGNETISM

    NARAYNA|Exercise Level =I (H.W)|42 Videos

  • MOVING CHARGES AND MAGNETISM

    NARAYNA|Exercise Level -II (H.W)|37 Videos

  • MOVING CHARGES AND MAGNETISM

    NARAYNA|Exercise LEVEL-V (SINGLE ANSWER QUESTION)|85 Videos

  • MAGNETISM AND MATTER

    NARAYNA|Exercise EXERCISE - 4 (SINGLE ANSWER TYPE QUESTION)|17 Videos

  • NUCLEAR PHYSICS

    NARAYNA|Exercise LEVEL-II-(H.W)|9 Videos

Similar Questions

Explore conceptually related problems

A current of I ampere is flowing through each of the bent wires as shown the magnitude and direction of magnetic field at O is

Two rings of same mass and radius R are placed with their planes perpendicular to each other and centre at a common point. The radius of gyration of the system about an axis passing through the centre and perpendicular to the plane of one ring is

Three rings each of mass M and radius R are placed in contact with each other as shown . Then MI of the system about YY' axis is

Three rings, each of mass m and radius r , are so placed that they touch each other. Find the moment of inertia about the axis as shown in Fig.

Three rings each of mass m and radius r are so placed that they touch each other. The radius of gyration of the system about the axis as shown in the figure is

Two identical circular wires P and Q each of radius R and carrying current 'I' are kept in perpendicular planes such that they have a common centre as shown in the figure. Find the magnitude and direction of the net magnetic field at the common centre of the two coils.

Two identical short magnets having magnetic moment M are placed perpendicular to each other with their , centres coniciding as shown in adjacent figure . The magnitude of the magnetic field at a point P at distance 'd' on the bisector of right angle will be .

Three identical spheres each of mass M and radius R are arranged in a row touching each other and their centres collinear.The moment of inertia of the system about an axis passing through the centre of the middle sphere and perpendicular to the line joining their centres is "

A wire of length L is bent around in the form of a coil having N turns of same radius . If a steady current I flows through it in a clockwise direction, find the magnitude and direction of the magnetic field produced at its centre.

There are two concentric circular loops. One loop of radius r is made up of only one turn. The other loop has a radius 2r and has two turns of wire. They are arranged such that they have a common centre and their planes are perpendicular to each other. When the same current i is passed through both the coils, the magnetic field at the common centre is

NARAYNA-MOVING CHARGES AND MAGNETISM-LEVEL-VI (SINGLE ANSWER QUESTION)
  1. A battery is connected between two points A and B on the circumference...

    Text Solution

    |

  2. A coaxial cable made up of two conductors. The inner conductor is soli...

    Text Solution

    |

  3. Three rings, each having equal radius R, are placed mutually perpendic...

    Text Solution

    |

  4. The magnetic moment of the loop shown in the adjacent figure is : ( le...

    Text Solution

    |

  5. A wire carrying a current I is bent into the shape of an exponential s...

    Text Solution

    |

  6. A star shaped loop ( with l= length of each section ) carries current ...

    Text Solution

    |

  7. Circular regiions (1) and (2) have current densities J and -J respecti...

    Text Solution

    |

  8. An otherwise infinite, straight wire has two concentric loops of radii...

    Text Solution

    |

  9. A non - popular loop of conducting wire carrying a current I is placed...

    Text Solution

    |

  10. In a region of space uniform electric field is present as vec(E)=E(0)h...

    Text Solution

    |

  11. A potential difference of 500 V is applied across a paralle plate cap...

    Text Solution

    |

  12. A charged particle enters into a uniform magnetic field with velocity ...

    Text Solution

    |

  13. In a certain region uniform electric field E and magnetic field B are ...

    Text Solution

    |

  14. The figure shows a right angled isosceles triangle wire frame. The wir...

    Text Solution

    |

  15. A particle of mass m and charge q is lying at the origin in a uniform ...

    Text Solution

    |

  16. A mass spectrometer is a device which selelct particle of equal mass. ...

    Text Solution

    |

  17. A square loop ABCD , carrying a current I, is placed near and coplanar...

    Text Solution

    |

  18. A very long current carrying wire is placed along z- axis having curre...

    Text Solution

    |

  19. A metal ring is placed in a magnetic field, with its plane | to the fi...

    Text Solution

    |

  20. A current carrying loop is placed in a uniform magnetic field in four...

    Text Solution

    |