Home
Class 12
PHYSICS
A thin wire of length 2m is perpendicula...

A thin wire of length `2m` is perpendicular to the `xy` plane. It is moved with velocity
`vec(V)=(2hat(i)+3hat(j)+hat(k))m//s` through a region of magnetic induction `vec(B)=(hat(i)+2hat(j))Wb//m^(2)`. Then potential difference induced between the ends of the wire:

A

1V

B

1.5V

C

2.5V

D

3V

Text Solution

Verified by Experts

The correct Answer is:
D
`e=[Bvl]`
`|e|=|(3,3,2),(1,2,0),(0,0,1)|`
(as length of conductor is `0hat(i)+ 0hat(j)+1hat(k)`)
`therefore |e|=3V`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    DISHA PUBLICATION|Exercise EXERCISE - 2 : Concept Applicator|29 Videos

  • ELECTROMAGNETIC INDUCTION

    DISHA PUBLICATION|Exercise EXERCISE - 2 : Concept Applicator|29 Videos

  • ELECTRIC CHARGES AND FIELDS

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept applicator|24 Videos

  • ELECTROMAGNETIC WAVES

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If vec(F) = (60 hat(i) + 15hat(j) - 3hat(k)) and vec(v) = (2hat(i) - 4hat(j) + 5hat(k))m//s , then instantaneous power is :

Find the sum of the vectors vec(a)=(hat(i)-3hat(k)), vec(b)=(2hat(j)-hat(k)) and vec(c)=(2hat(i)-3hat(j)+2hat(k)) .

A wire of length 4 m placed normal to the plane magnetic field of (2 hat (i) + 4 hat (j)) Tesla is moving with a velocity (4 hat (i)+ 6 hat (j)+ 8 hat (k)) m/s. The emf induced across the ends of the wire will be __

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

If vec(F ) = (60 hat(i) + 15 hat(j) - 3 hat(k)) N and vec(V) = (2 hat(i) - 4 hat(j) + 5 hat(k)) m/s, then instantaneous power is:

If vec(a)=(hat(i)+2hat(j)-3hat(k)) and vec(b)=(3hat(i)-hat(j)+2hat(k)) then the angle between (vec(a)+vec(b)) and (vec(a)-vec(b)) is

An alpha particle moving with a velocity vec(v)_(1)=2hat(i)m//s is a uniform magnetic field experiences a force vec(F)_(1)=-4e(hat(j)-hat(k))N . When the particle moves with a velocity vec(v)_(2)=hat(j)m//s , then the force experienced by it is vec(F)_(2)=2e(hat(i)-hat(k))N . The magnetic induction vec(B) at that point is :

Find [vec(a)vec(b)vec(c )] if vec(a)=vec(i)-2hat(j)+3hat(k), vec(b)=2hat(i)-3hat(j)+hat(k) and vec(c )=3hat(i)+hat(j)-2hat(k) .

If vec(A) and vec(B) are perpendicular Vectors and vector vec(A)= 5hat(i)+7hat(j)-3hat(k) and vec(B)= 2hat(i)+2hat(j)-ahat(k) . The value of a is

DISHA PUBLICATION-ELECTROMAGNETIC INDUCTION -EXERCISE - 1 : Concept Builder
  1. A wire of length 1 m is moving at a speed of 2 ms^(-1) perpendicular t...

    Text Solution

    |

  2. Two identicaly induction coils each of inductance L joined in series ...

    Text Solution

    |

  3. A thin wire of length 2m is perpendicular to the xy plane. It is moved...

    Text Solution

    |

  4. A rectangular coil of single trun, having area A , rotates in a unifor...

    Text Solution

    |

  5. The two rails of a railway track, insulated from each other and the gr...

    Text Solution

    |

  6. In fig, CODF is a semicircular loop of a conducting wire of resistance...

    Text Solution

    |

  7. The mutual inductance of a pair of coils, each of N turns, is M henry....

    Text Solution

    |

  8. A coil has 2000 turns and area of 70cm^(2). The magnetic field perpen...

    Text Solution

    |

  9. When the current in a coil charges from 2A to 4A in 0.05 s, emf of 8 v...

    Text Solution

    |

  10. A small square loop of wire of side l is placed inside a large square ...

    Text Solution

    |

  11. Two circular coils can be arranged in any of the three situations show...

    Text Solution

    |

  12. Two coils, one primary of 500 turns and one secondary of 25 turns, are...

    Text Solution

    |

  13. Two circular coils, one of smaller radius r(1) and the other of very l...

    Text Solution

    |

  14. A long solenoid has 500 turns. When a current of 2A is passed through ...

    Text Solution

    |

  15. A metal disc of radius 100 cm is rotated at a constant angular speed o...

    Text Solution

    |

  16. A copper disc of radius 0.1 m rotates about its centre with 10 revolut...

    Text Solution

    |

  17. A square loop of side a is rotating about its diagonal with angular ve...

    Text Solution

    |

  18. A wire loop is rotated in a uniform magnetic field about an an axis pe...

    Text Solution

    |

  19. In an A.C. generator, when the plane of the armature is perpendicular ...

    Text Solution

    |

  20. The pointer of a dead-beat galvanometer gives a steady deflection beca...

    Text Solution

    |