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A 10.0-MHz magnetic field travels in a fluid for which the propagation velocity is 1.0 x...
An electric field propagating in a lossless non-magnetic media is characterized by\(E(y, t)=100.0 \cos \left(4 \pi \times 10^{6} \mathrm{t}-0.1257 \mathrm{y}\right) \mathrm{a}_{\mathrm{z}} \frac{\mathrm{V}}{\mathrm{m}}\)Find the wave amplitude, frequency, propagation velocity, wavelength, and the relative permittivity of the media. (b) Find \(\mathrm{H}(y, t)\).
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...
The amplitude of 18.0 V/m field v ) Calculate the frequency of the wave. MHZ (b) Calculate the magnetic freld B when the electric field has its maximum value in the negative y direction nT magnitude direction (c) write an expression for B with the correct unit vector, with numerical values for Bmax, , and w, and with its magnitude in the form in m and t in s.) (Assume B is measured in nT, x is magnitude direction c)...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
#4 part a,b,c 4. An electromagnetic wave with a frequency of 100,0 MHz, İs traveling direction. Att-0 s, the electric field due to this wave of 300.0 V/m. through a vacuum in x- (i) What is the wavelength of this wave? a. 1.0 m b. 2.0 m c, 3.0 m d. 4.0 m (ii) What is the amplitude of the magnetic field due to this wave? a, 1.0 μΤ b, 2.0 μ T c. 3.0 uT d. 4.0 HT (iii)...
Please show steps We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
A plane electromagnetic wave, with wavelength 2.4 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 390 V/m, oscillates parallel to the y axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow associated with this...
A proton travels through uniform magnetic and electric fields. The magnetic field is in the negative x direction and has a magnitude of 3.09 mT. At one instant the velocity of the proton is in the positive y direction and has a magnitude of 2030 m/s. At that instant, what is the magnitude of the net force acting on the proton if the electric field is (a) in the positive z direction and has a magnitude of 3.58 V/m, (b)...
A proton travels through uniform magnetic and electric fields. The magnetic field is in the negative x direction and has a magnitude of 2.52 mT. At one instant the velocity of the proton is in the positive y direction and has a magnitude of 1960 m/s. At that instant, what is the magnitude of the net force acting on the proton if the electric field is (a) in the positive z direction and has a magnitude of 3.44 V/m, (b)...
A proton travels through uniform magnetic and electric fields. The magnetic field is in the negative x direction and has a magnitude of 3.26 mT. At one instant the velocity of the proton is in the positive y direction and has a magnitude of 1980 m/s. At that instant, what is the magnitude of the net force acting on the proton if the electric field is (a) in the positive z direction and has a magnitude of 5.92 V/m, (b)...