(1) The voltage of an electromagnetic wave traveling on a transmission line is given by V(z,t)=5e"...
The mathematical expression for a voltage wave on a transmission line is given as: V(z,t) = 5e-azsin(41x10ºt – 2012) (V/m) where z is the distance from the generator and a is an unknown constant. At z = 2 meters the amplitude of the voltage oscillation is measured to be 1 Volt. a) (2 pts) Find the linear frequency of the wave b) (3 pts) Find the wavelength c) (3 pts) Find the phase speed d) (3 pts) Find the value...
Part A A sinusoidal electromagnetic plane wave is traveling in the +y direction under water, with an index of refraction n = 1.33. The wave is polarized along the z-axis and has a vacuum wavelength of 20 = 800 nmn. What is the phase velocity of the wavefront in water? 10 AXP + Ole ? m/s Submit Request Answer Part B What is the wavenumber of the electromagnetic wave in water? IVALO OB ? radim Submit Request Answer Part C...
What are the parts of this traveling wave? y(x,t) = (9.00 m) sin( (67 m-')x + (41 rad/s)t – 7/8) 1. Is this wave transverse or longitudinal? 2. Which direction is the wave moving? 3. Amplitude 4. Angular wave number 5. Wavelength 6. Angular frequency 7. Phase angle 8. Linear frequency 9. Period 10. Velocity of wave 11. Maximum vibration speed
Timer Evalt The components of the electric field in an electromagnetic wave traveling in vacuum are described by Ex = 0, y = 0, and Ez = 4.69 sin(3.81x - wt) V/m, where x is measured in meters and t in seconds. Calculate the frequency of the wave. E Tries 0/12 Calculate the wavelength of the wave. ** Tries 0/12 Calculate the amplitude of the magnetic field of the wave. SK Tries 0/12 Calculate the intensity of the wave. Tries...
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
A propagating electric field is given by 100e -0.1z COS E (z, t) V/m T x 10' tTZ : (a) Determine the attenuation constant, the wave frequency, the wavelength, the propagation velocity, and the phase shift. (b) How far must the wave travel before its amplitude is reduced to 1.0 V/m?
The magnetic field of an electromagnetic wave is given by
where B is measured in Tesla, x in meters, and t in seconds.
a) What is the wavelength of the wave? Enter your answer in
nm.
b) What is the frequency (not the angular
frequency) of the wave? Enter your answer in THz (terra-hertz),
where 1 THz = 1012 Hz.
c) What is the amplitude of the wave's electric field? Enter
your answer in V/m.
d) What is the average...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction and amplitude of the electric field, (b) the wave propagation direction, (c) the propagation constant and the wavelength, (d) the frequency and the angular frequency, and (e) the phase velocity.
2. An electromagnetic plane wave is specified (in SI units) by E = (-68 + 3V59)et(v 3x+y)sx 10.9.42 x 1015t] Find (a) the polarization direction...