Home
Class 12
PHYSICS
Amplitude of electric field of a plane e...

Amplitude of electric field of a plane electromagnetic wave is `48 V. m^(-1)` . What is the amplitude of the magnetic field of the wave ?

Text Solution

Verified by Experts

In the case , amplitude of electric field , `E_0=48 V. m^(-1)`
As `E_0/B_0=c`, amplitude of magnetic field , `B_0=E_0/c`
`therefore B_0=48/(3xx10^8)[because c=3xx10^8 m.s^(-1)]`
`=16xx10^(-8) Wb. M^(-2)`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise SECTION RELATED QUESTIONS|14 Videos

  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise HOTS QUESTIONS|5 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|28 Videos

  • ELECTROMAGNETISM

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|26 Videos

Similar Questions

Explore conceptually related problems

The peak value of the electric field of a plane radio wave is 10^(-4) V.m^(-1) .What is the peak value of the magnetic field?

In a region of free space the average electric field of an electromagnetic wave is 9 xx 10^-4 NC^-1 . What is the magnetic field in that region?

Due to the sunlight, if the amplitude of the electric field at the earth surface is 900 V . m^(-1) , then the amplitude of the magnetic field is nxx10^(-6) T. Find the value of n.

The peak of magnetic field for any electro magnetic wave is 20 nT. What will be the peak value of the electric field?

Statement I: The ratio of the amplitudes of electric and magnetic fields at a point in the electromagnetic wave is same as the velocity of wave. Statement II: If in a medium, mu and in are the magnetic permeability and the electric permittivity respectively, then 1//sqrt(muin) is the velocity of electromagnetic wave in that medium.

If in air medium the amplitude of the electric field is 5 xx 10^-4v//m , then what will be the amplitude of the magnetic field?

Electromagnetic waves propagate through free space or a medium as transverse waves. The electric and magnetic fields are perpendicular to each other as well as perpendicular to the direction of propagation of waves at each point. In the direction of wave propagation, electric field vecE and magnetic field vecB form a right-handed cartesian coordinate system. During the propagation of electromagnetic wave, total energy of electromagnetic wave is distributed equally between electric and magnetic fields. Since in_0 and mu_0 are permittivity and permeability of free space, the velocity of electromagnetic wave, c=(in_0 mu_0)^(-1//2) . Energy density i.e., energy in unit volume due to electric field at any point, u_E=1/2in_0E^2 Similarly, energy density due to magnetic field , u_M=1/(2mu_0)B^2 . If the electromagnetic wave propagates along x-direction, then the equations of electric and magnetic field are respectively. E=E_0sin(omegat-kx) and B=B_0sin(omegat-kx) Here, the frequency and the wavelength of oscillating electric and magnetic fields are f=omega/(2pi) and lambda=(2pi)/k respectively. Thus E_"rms"=E_0/sqrt2 and B_"rms"=B_0/sqrt2 , where E_0/B_0=c . Therefore, average energy density baru_E=1/2in_0E_"rms"^2 and baru_M=1/(2mu_0)B_"rms"^2 . The intensity of the electromagnetic wave at a point, I=cbaru=c(baru_E+baru_B) . To answer the following questions , we assume that in case of propagation of electromagnetic wave through free space, c=3xx10^8 m.s^(-1) and mu_0=4pixx10^(-7) H.m^(-1) If the peak value of electric field at a point in electromagnetic wave is 15 V . m^(-1) , then average electrical energy density (in j . m^(-3) )

CHHAYA PUBLICATION-ELECTROMAGNETIC WAVES -CBSE SCANNER
  1. Amplitude of electric field of a plane electromagnetic wave is 48 V. m...

    Text Solution

    |

  2. What are the directions of electric and magnetic field vectors relativ...

    Text Solution

    |

  3. The speed of an electromagnetic wave in a material medium is given by ...

    Text Solution

    |

  4. Welders wear special goggles or face masks with glass windows to prote...

    Text Solution

    |

  5. A capacitor made of two parallel plates each of plate area A and separ...

    Text Solution

    |

  6. To which part of the electromagnetic spectrum does a wave of frequency...

    Text Solution

    |

  7. Define intensity of radiation on the basis of photon picture of light....

    Text Solution

    |

  8. Which one of the following electromagnetic radiations has least freque...

    Text Solution

    |

  9. How do you show that electromagnetic waves carry energy and momentum?

    Text Solution

    |

  10. Write the expression for the energy density of an electromagnetic wave...

    Text Solution

    |

  11. How are electromagnetic waves produced? What is the source of energy o...

    Text Solution

    |

  12. Why does current in a steady state not flow in a capacitor connected a...

    Text Solution

    |

  13. How is the speed of EM waves in vacuum determined by the electric and ...

    Text Solution

    |

  14. Do electromagnetic waves carry energy and momentum?

    Text Solution

    |

  15. Identify the electromagnetic waves whose wavelengths vary as (a)10^(...

    Text Solution

    |

  16. What do you understand by the statement, "Electromagnetic waves transp...

    Text Solution

    |

  17. Name the electromagnetic radiations used for (a) Water purification (...

    Text Solution

    |

  18. Why are infrared waves often called heat waves? Explain.

    Text Solution

    |