Home
Class 12
PHYSICS
A wire of length l carries a current I a...

A wire of length l carries a current I along the x-asis. A magnetic field exists which is given as `vecB=B_0(veci+vecj+veck)` T. find the magnitude of the magnetic force acting on the wire.

Text Solution

Verified by Experts

Here current is passing along X-exis.
So , ` vecF = I vecL xx vecB`
` = I ( LvecI ) xx (B_0 vecI + B_0vecJ + B_0 vecK ))`
` = i(B_0 vecK - LB _0 vecJ ) ` lt brgt ` = iLB _0[-vecJ + vecK )`
` :. |vecF| = iLB _0 sqrt (1+1) b= sqrt(2 iJB_0)`
Promotional Banner

Topper's Solved these Questions

  • MAGNETIC FIELD

    HC VERMA|Exercise Objective 2|9 Videos

  • LIGHT WAVES

    HC VERMA|Exercise Exercises|41 Videos

  • MAGNETIC FIELD DUE TO CURRENT

    HC VERMA|Exercise Exercises|61 Videos

Similar Questions

Explore conceptually related problems

A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?

A 1.0 cm wire carrying a current of 30 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire ?

A uniform wire of length l carrying current radiates energy at a rate P to environment while its temperature remains the same. Magnitude of magnetic flux density on the surface of wire is B and its diameter is d. If electric field strenght in wire is given by E=(nmu_(0)P)/(Bpild) , then find n.

A square of side LM lies in the xy plane in a region, when the magnetic field is given by vecB=B_0(2 hat i+3 hat j+4 hatk) T where B_0 is constant. The magnitude of flux passing through the square is …..Wb.

A straight wire of mass 200 g and length 1.5 m carries a current of 2 A. It is suspended in mid air by a uniform horizontal magnetic field B (figure). What is the magnitude of the magnetic field ?

A straight wire of mass 200 g and length 1.5 m carries a current of 2 A. It is suspended in mid-air by a uniform horizontal magnetic field B . What is the magnitude of the magnetic field?

A straight wire of mass 150 g and length 2 m carries a current of 1.5 A. It is suspended in mid-air by a uniform horizontal magnetic field B (figure). What is the magnitude of the magnetic field ? (g=10ms^(-2))

Consider a wire carrying a steady current, I placed in a uniform magnetic field vecB perpendicular to its length. Consider the charges inside the wire. It is known that magnetic forces do no work. This implies that,

When electric current I flow through a straight wire of length I placed in a magnetic field , a magnetic force of 1N acts on it . If magneitude of the electric current is halved and the magnetic field is doubled , what will be the magnetic force acting on the wire ?

A square of side L meters lies in the xy-plane in a region, where the magnetic field is given by vecB=B_0 (2hati+3hatj+4hatk)T where B_0 is constant. The magnitude of flux passing through the square is

HC VERMA-MAGNETIC FIELD-Exercises
  1. A current of 2 A enters at the corner d of a square frame abcd of side...

    Text Solution

    |

  2. A magnetic field of strength 1.0 T is produced by a strong electromagn...

    Text Solution

    |

  3. A wire of length l carries a current I along the x-asis. A magnetic fi...

    Text Solution

    |

  4. A current of 5.0 A exists in the circuit shown in The wire PQ has a l...

    Text Solution

    |

  5. A circular loop of radius a, carrying a current I, is placed in a tow ...

    Text Solution

    |

  6. A hypothetical magnetic field existing in a region is given by vecB= B...

    Text Solution

    |

  7. A rectangular wire-loop of width a is suspended from the insulated pa...

    Text Solution

    |

  8. A current loop of arbitrary shape lien in a uniform magnetic field B. ...

    Text Solution

    |

  9. Prove that the force acting on a current carrying wire, joining two f...

    Text Solution

    |

  10. A semicircular wire of radius 5.0 cm carries a current of 5.0 A. A ma...

    Text Solution

    |

  11. A wire, carrying a current i, is kept in the x-y plane along the curve...

    Text Solution

    |

  12. A rigid wire consists of a semicircular portion of radius R and two s...

    Text Solution

    |

  13. A straight horizontal wire of mass 10mg and length 1.0 m carries a cur...

    Text Solution

    |

  14. Shows a rod PQ of length 20.0 cm and mass 200g suspended through a fix...

    Text Solution

    |

  15. Two metal strips, each of length, each of length l, are clamped paral...

    Text Solution

    |

  16. A matel wire PQ of mass 10g lies at rest on two horizontal metal rails...

    Text Solution

    |

  17. A straight wire of length l can slide on two parallel plastic rails k...

    Text Solution

    |

  18. Shows a circular wire-loop of radius a m carrying a current I, placed ...

    Text Solution

    |

  19. Suppose that the radius of cross section of the wire used in the previ...

    Text Solution

    |

  20. The magnetic field existing in a region is given by vecB =B0(1+(x)/(l)...

    Text Solution

    |