Home
Class 12
PHYSICS
The magnetic field in a plane electroman...

The magnetic field in a plane electromangnetic wave is given by
`B=(300muT) sin (5.0xx10^-5x^-1)(t-x//c)`
Find(i) the maximum electric field and (ii) The average energy density corresponding to the electric field.

Text Solution

Verified by Experts

The correct Answer is:
`9xx10^4Vm^-1 ; 1.79xx10^-2Jm^-3`

Here, `B_0=300muT=3000xx10^-6T`
`=3xx10^-4T`
`E_0=cB_0 =(3xx10^8)xx(3xx10^-4)`
`=9xx10^4Vm^-1`
`u_E=1/4in_0E_0^2=1/4xx(8.85xx10^-12)xx(9xx10^4)^2`
`=1.79xx10^-2Jm^-3`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise (C) Problems for practice|1 Videos
  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise Multiple choice questions|1 Videos
  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise Value based questions|5 Videos
  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Multiple Choice Questions|1 Videos
  • ELECTRONIC DEVICES

    PRADEEP|Exercise Fill in the Blanks|1 Videos

Similar Questions

Explore conceptually related problems

The magnetic field in a plane electromagnetic wave is given by B=(300muT) sin (5.0xx10^-5x^-1)(t-x//c) Find(i) the maximum electric field and (ii) The average energy density corresponding to the electric field.

The magnetic field in a plane electromagnetic wave is given by B= (200 (mu) T) sin [(4.0 xx (10^15)(s^-1)(t-(x/c))]. Find the maximum electric field and the average energy density corresponding to the electric field .

The magnetic field in a plane electromagnetic wave is given by B = 200 (muT) sin 4 xx 10'^(-5)s^(1) (t-x//c) . Find the maximum magnetic and electric fields.

The magnetic field in a plane EM wave is given by B = (100 mu T) sin [(2 x10^(15) s^(–1))(t – x//c)] hat(j) The equation for electric field is

Magnetic field in a plane electromagnetic wave is given by B_y = (10^-7 T) sin (10^3pix + 2pi×10^11)hatj Then expression of electric field will be

In an electromanetic wave, the average energy density associated with electric field is

The magnetic field in a plane electromagnetic wave is given by B_(y) = 2 xx 10^(-7) sin (0.5 xx 10^(3)x + 1.5 xx 10^(11) t) . This electromagnetic wave is

PRADEEP-ELECTROMAGNETIC WAVES-Exercise
  1. An electric field in an e.m.wave is given by E=200 sin .(2pi)/lambda...

    Text Solution

    |

  2. A plane e.m. wave propagating in the x-direction has a wavelength 5.0 ...

    Text Solution

    |

  3. The magnetic field in a plane electromangnetic wave is given by B=(3...

    Text Solution

    |

  4. An observer is 1.8 m from an isotropic point light source whose power ...

    Text Solution

    |

  5. In a plane e.m. wave, the electric field oscillates withe amplitude 20...

    Text Solution

    |

  6. In a plane e.m. wave of frequency 1.5xx10^12Hz, the amplitude fo the m...

    Text Solution

    |

  7. A plane e.m. wave propagating in the x-direction has a wavelength 6.0 ...

    Text Solution

    |

  8. A plane e.m. wave propagating in the x-direction has a wavelength 5.5 ...

    Text Solution

    |

  9. A beam of light travelling along x-axis is described by the magnetic f...

    Text Solution

    |

  10. In a plane e.m. wave, the electric field varies with time having an am...

    Text Solution

    |

  11. The average energy flux of sunlight is 1.0 kW m^-2. This energy of rad...

    Text Solution

    |

  12. One requires 11eV of energy to dissociate a carbon monoxide molecule i...

    Text Solution

    |

  13. A linearly polarised electromagnetic wave given as E=E(0)haticos(kz-om...

    Text Solution

    |

  14. Light with an energy flux 20 W//cm^2 falls on a non-reflecting surface...

    Text Solution

    |

  15. The electric field intensity produced by the radiations coming from 10...

    Text Solution

    |

  16. If E and B represent electric and magnetic field vectors of the electr...

    Text Solution

    |

  17. The ratio of contributions made by the eletric field and magnetic fiel...

    Text Solution

    |

  18. An EM wave radiation outwards from a dipole antenna, with E0 as the am...

    Text Solution

    |

  19. An e.m. wave trevels in vacuum along z direction: vecE=(E1hati+E2hat...

    Text Solution

    |

  20. A plane electromagnectic wave propagating along x-direction can have t...

    Text Solution

    |