Home
Class 12
PHYSICS
A rectangular loop of sides a and b is p...

A rectangular loop of sides `a` and `b` is placed in `xy`-placed. A uniform but time varying magnetic field of strength `B=20thati+10t^2hatj+50hatk` is present in the region. The magnitude of induced emf in the loop at time t is

A

`20+20t`

B

`20`

C

`20t`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
`S=(ab)hatkrarr `perpendicular to xy-plane
`phi=B.S=(50)(ab)=`constant
`(dphi)/(dt)=0`
`:. e=0`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY|Exercise Objective Questions|3 Videos

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY|Exercise Level 1 Subjective|21 Videos

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY|Exercise Level 1 Assertion And Reason|10 Videos

  • CURRENT ELECTRICITY

    DC PANDEY|Exercise Medical entrances gallery|97 Videos

  • ELECTROMAGNETIC WAVES

    DC PANDEY|Exercise Sec C|22 Videos

Similar Questions

Explore conceptually related problems

A rectangular loop of sides of length l and b is placed in x-y plane. A uniform but time varying magnetic field of strength vec B = 20 t hat i +10 t^2 hat j+50 hat k where t is time elapsed. The magnitude of induced emf at time t is:

A reacangular loop if size (2m xx 1m) is placed in x-y plane. A uniform but time varying magnetic field of strength T where t is the time elsapsed in second exists in sosace. The magnitude of induced emf (in V) at time t is

A rectangular loop os sides of length l an db is placed in x-y plane. A uniform but it me varying manetic field of strength exists in space. The magnitude of induced e.m.f. at time t is:

A square loop of side 'a' is placed in x-y plane as shown in figure. In this region there is non-uniform time dependent magnetic field vec B= (cy^3 t^2) veck , [where t is time and c is constant] then magnitude of emf induced in loop is

In Fig. there is a frame consisting of two square loops having resistors and inductors as shown. This frame is placed in a uniform but time-varying magnetic field in such a way that one of the loops is placed in crossed magentic field and the other is placed in dot magnetic field. Both magnetic fields are perpendicular to the planes of the loops. If the magnetic field is given by B = (20 + 10 t) Wb m^(-2) in both regions [l = 20 cm, b = 10 cm , and R = 10 Omega , L = 10 H ), The direction in induced current in the bigger loop will be

In Fig. there is a frame consisting of two square loops having resistors and inductors as shown. This frame is placed in a uniform but time-varying magnetic field in such a way that one of the loops is placed in crossed magentic field and the other is placed in dot magnetic field. Both magnetic fields are perpendicular to the planes of the loops. If the magnetic field is given by B = (20 + 10 t) Wb m^(-2) in both regions [l = 20 cm, b = 10 cm , and R = 10 Omega , L = 10 H ), The current in the frame as a funtion of time will be

A rectangular loop of sides 20 cm and 10 cm carries a current of 5.0 A . A uniform magnetic field of magnitude 2 T exists parallel to the longer side of the loop. The torque acting on the loop is

In Fig. there is a frame consisting of two square loops having resistors and inductors as shown. This frame is placed in a uniform but time-varying magnetic field in such a way that one of the loops is placed in crossed magentic field and the other is placed in dot magnetic field. Both magnetic fields are perpendicular to the planes of the loops. If the magnetic field is given by B = (20 + 10 t) Wb m^(-2) in both regions [l = 20 cm, b = 10 cm , and R = 10 Omega , L = 10 H ), The induced emf in the frame only due to the vartation of magnetic field will be

A circular brass loop of radius a and resistance R is placed with it plane perpendicular to a magnetic field, which varies with time as B = B_(0) sin omega t . Obtain the expression for the induced current in the loop.

Induced emf due to a changing nonuniform B field Figure 30-9 shows a rectangular loop of wire immersed in a nonuniform and varying magnetic field vecB that is perpendicular to and directed into the page. The field's magnitude is given by B = 4t^(2)x^(2) , with B in teslas, tin seconds, and x in meters. (Note that the function depends on both time and position.) The loop has width W = 3.0 m and height H = 2.0 m. What are the magnitude and direction of the induced emf E around the loop at t = 0.10 s?

DC PANDEY-ELECTROMAGNETIC INDUCTION-Level 1 Objective
  1. An alternating current I in an inductance coil varies with time t acco...

    Text Solution

    |

  2. A loop of area 1m^2 is placed in a magnetic field B=2T, such that plan...

    Text Solution

    |

  3. A rectangular loop of sides a and b is placed in xy-placed. A uniform ...

    Text Solution

    |

  4. The armature of a DC motor has 20Omega resistance. It draws a current ...

    Text Solution

    |

  5. In a transformer the output current and voltage are respectively 4 A a...

    Text Solution

    |

  6. When a loop moves towards a stationary magnet with speed v, the induce...

    Text Solution

    |

  7. A short magnet is allowed to fall from rest along the axis of a horizo...

    Text Solution

    |

  8. In figure, if the current i decreases at a rate alpha then VA-VB is

    Text Solution

    |

  9. A coil has an inductance of 50 m H and a resistance of 0.3Omega. If a ...

    Text Solution

    |

  10. A constant voltage is applied to a series R-L circuit by closing the s...

    Text Solution

    |

  11. A coil of area 10cm^2 and 10 turns is in magnetic field directed perpe...

    Text Solution

    |

  12. In figure final value of current in 10Omega resistor, when plug of key...

    Text Solution

    |

  13. A circuit consists of a circular loop of radius R kept in the plane of...

    Text Solution

    |

  14. A flat circular coil of n turns, area A and resitance R is placed in a...

    Text Solution

    |

  15. A small circular loop is suspended from an insulating thread. Another ...

    Text Solution

    |

  16. In the circuit shown in figure L=10H, R=5Omega, E=15V. The switch S is...

    Text Solution

    |

  17. In the figure shown a T-shaped conductor moves with constant angular v...

    Text Solution

    |

  18. A conducting rod of length l falls verticaly under gravity in a region...

    Text Solution

    |

  19. A semi circular conducting ring acb of radius R moves with constant sp...

    Text Solution

    |

  20. The ring B is coaxial with a solenoid A as shown in figure. As the swi...

    Text Solution

    |