Home
Class 12
PHYSICS
Magnetic in a region is given by vec B =...

Magnetic in a region is given by `vec B = B_0 hat i + B_0 hat j` . Torque on a circular loop `x^2 +z^2 = r^2` carrying current i in anticlockwise direction as seen from a point on positive y-axis is

A

`ipir²B_0 hat k`

B

` –i pi r² B_0 hat k`

C

`ipir² hat k`

D

`– i pi r B_0 hat k `

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A uniform magnetic field vec(B) = 3 hat i + 4 hat j + hat k exists in region of space. A semicircular wire of radius of 1 m carrying current 1 A having its centre at (2, 2, 0) is placed in x-y plane as shown in Fig. The force on semicircular wire will be

The magnetic field in a region is given by vec(B)=B_(0)(1+(x)/(a))hat(k) . A square loop of edge length 'd' is placed with its edge along X-axis and Y-axis. The loop is moved with a constant velocity vec(V)=V_(0)hat(i) . The emf induced in the loop is

A magnetic field vec(B) = B_(0)hat(j) , exists in the region a ltxlt2a , and vec(B) = -B_(0) hat(j) , in the region 2a lt xlt 3a , where B_(0) is a positive constant . A positive point charge moving with a velocity vec(v) = v_(0) hat (i) , where v_(0) is a positive constant , enters the magnetic field at x= a . The trajectory of the charge in this region can be like

A particle of charge qgt0 is moving at speed v in the +z direction through a region of uniform magnetic field. The magnetic force on the particle vec F = F_0 (3 hat i + 4 hat j) , where F_0 is a positive constant. (a) Determine the components B_x, B_y and B_z or at least as many of the three components as is possible from the information given. (b) If it is given in addition that the magnetic field has magnitude 6F_0 / (qv) , determine the magnitude of B_z .

A rectangular loop of dimensions (axxb) carries a current i. A uniform magnetic field vec(B)=B_(0) hat(i) exists in space. Then :

Given that vec A= A_x hat i+ A_y hatj + A_z hatk and vec B = B_x hat i+B_y hat j +B_z hat k . Find vec A xx vec B

Find the equation of the plane which contains the line of intersection of the planes: vec(r). (hat(i) - 2 hat(j) + 3 hat(k) ) - 4 = 0 and vec(r). ( - 2 hat(i) + hat(j) + hat(k)) + 5 = 0 and whose intercept on x-axis is equal to that of y-axis.

If vec r=x hat i+y hat j+z hat k ,\ then write the value of | vec rxx hat i|^2dot

AAKASH INSTITUTE-TEST 6-EXAMPLE
  1. Aparant angle of a dip is 30° in a plane at 45° from the magnetic meri...

    Text Solution

    |

  2. In the electromagnetic wave the electric and magnetic wave are not rel...

    Text Solution

    |

  3. Magnetic in a region is given by vec B = B0 hat i + B0 hat j . Torque ...

    Text Solution

    |

  4. In parallel L-C circuit current from the source is 1 A and current fro...

    Text Solution

    |

  5. The ratio of magnetic dipole moment and angular momentum of charged bo...

    Text Solution

    |

  6. Magnetic length of a bar magnet is

    Text Solution

    |

  7. Two infinite long wire A and B are separated at a and current are I1 a...

    Text Solution

    |

  8. Magnetic field at point O due to straight conductor PQ is

    Text Solution

    |

  9. The r.m.s. speed of N2 gas is v0. If temperature remains constant and ...

    Text Solution

    |

  10. The pressure of an ideal gas is written as p=(2E)/(3V).Here E refers t...

    Text Solution

    |

  11. The speed of 8 molecules of a gas are as 2, 3,2,4,5,4,6,4 (m/s). The m...

    Text Solution

    |

  12. If diameter of gas molecule is d then mean free path is inversely prop...

    Text Solution

    |

  13. The velocities of our molecules are V, 2V, 4V and √2V, respectively. T...

    Text Solution

    |

  14. The change in internal energy of a gas kept in a closed container when...

    Text Solution

    |

  15. 1 kg of hydrogen at 37◦C is mixed with 32 g of oxygen at 27◦C. The tem...

    Text Solution

    |

  16. The temperature at which r.m.s. velocity of hydrogen molecules is equa...

    Text Solution

    |

  17. A gas behaves as an ideal gas at

    Text Solution

    |

  18. Assume x= 2 cos theta (πt+ π/3) cm represents the position of a parti...

    Text Solution

    |

  19. Simple harmonic motion is

    Text Solution

    |

  20. Assume x1 = A Sin(omega t) and x2 = A Cos (omega t + π/6). The phase d...

    Text Solution

    |