Home
Class 12
PHYSICS
The equation of the electric field assoc...

The equation of the electric field associated with an electromagnetic wave is `E=0.001 sin (10^14t-1/3xx10^(-8) x)V.m^(-1)` . What is the (i) frequency, (ii) wavelength of this wave? Establish the equation of the associated magnetic field.

Text Solution

Verified by Experts

`1.59xx10^13` Hz , `1.84xx10^(9)` m (approx.) , `B=3.33xx10^(-12)sin(10^14t-1/3xx10^(-8)x)Wb.m^(-2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise EXERCISE (HOTS NUMBERICAL PROBLEMS )|3 Videos
  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise ENTRANCE CORNER (ASSERTION - REASON )|5 Videos
  • ELECTROMAGNETIC WAVES

    CHHAYA PUBLICATION|Exercise EXERCISE ( PROBLEM SET - I)|6 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

Electric field of an electromagnetic wave is , E=10^(-5) sin (12xx10^15 t - 4xx10^(7)x) .Find the frequency , velocity , wavelength of the wave . Write the equation of the magnetic field corresponding to this wave. Assume all quantities in SI unit.

The magnetic field in a plane electromagnetic wave is given by B_(y)=(2xx10^(-7)) T sin (0.5xx10^(3)x+1.5xx10^(11)t) . What is the wavelength and frequency of the wave?

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?

The form of an electromagnetic wave is— B=10xx 10^-7sin{2xx 10^11t- 10^3x} T. What is the expression-for electric vector ?

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 ?

In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of 2.0 xx 10^(10) Hz and amplitude 48 V m^(–1) . (a) What is the wavelength of the wave? (b) What is the amplitude of the oscillating magnetic field? (c) Show that the average energy density of the E field equals the average energy density of the B field. [c = 3 xx 10^(8) m s^(-1).]

In a plane electromagnetic wave, the electric field sinusoidally oscillates at a frequency 2 xx 10^10 Hz and amplitude 45 V . m^(-1) . (i) What is the wavelength of the wave? (ii) What is the amplitude of the oscillating magnetic field? (iii) Find out the relation between average energy density of the electric field vecE(u_E) and the average energy density of the magnetic field vecB(u_B)

In an electromagnetic wave, the electric field is E=5 sin (10^12t-x/(3xx10^3))V.m^(-1) . Calculate the intensity of that wave. Given mu_0=4pixx10^(-7) H. m^(-1)

Suppose that the electric field part of an electromagnetic wave in vacuum is vecE=[(3.1 N.C^(-1)) "cos"{1.8 "rad" .m^(-1))y+(5.4xx10^6 "rad". s^(-1) ) t}]hati What is the frequency, f?

In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of 2.0xx10^10 Hz and amplitude 48 V. m^(-1) . What is the wavelength of the wave?