PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 62P
To determine
The proof that
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The electric field of an electromagnetic wave travelling on a vacuum space is given by:
Ex = 0, Ey = cos (2π × 10³ [t − Z]),
E₂ = 0
where the amplitude is in V/m, t in second, x in meter and c= 300 000 000 m/s is the speed of light in
vacuum. The vacuum permittivity is 8.85 × 10-¹² C²/m²N
What is the wavelength (in meter)?. ....m.
The average energy flux is n × 10-4 watt/m² What is the value of n?
The amplitude of the magnetic field H is z × 10-4 A/m. What is the value of z?
Three electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P.
E1 = (5.0 × 10-5 V/m) sin[(4.0 × 1014 rad/s)t]
E2 = (7.0 × 10-6 V/m) sin[(4.0 × 1014 rad/s)t + 45˚]
E3 = (7.0 × 10-6 V/m) sin[(4.0 × 1014 rad/s)t - 45˚]
A regular sinusoidal plane wave, for which the following expression is given for the electric field intensity Ei(x,z)=ay10e-j(6z+8z) (V/m)
The perfect conductor at z=0 hits the plane.
a) Find the frequency and wavelength of the wave.
b) Write the instantaneous expressions Ei(x,z;t) and Hi(x,z;t).
c) Determine the angle of incidence.
d)Find Er(x,z) and Hr(x,z) for the reflected wave.
Chapter 31 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
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- Three electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P. E₁ (5.0 x 10-5 V/m) sin[(3.0 x 1014 rad/s)t] -E2= (6.0 x 10-6 V/m) sin((3.0 x 1014 rad/s)t + 45°] E3 = (6.0 x 10-6 V/m) sin[(3.0 x 1014 rad/s)t-45*] E = ( i i ✓) sin[(i x 1014 )t +arrow_forwardAn electromagnetic plane wave is propagating with an intensity I =1.0×10° Wm² in a medium with = 3 e, and µ= Ho. The amplitude of the electric field inside the medium is x10' Vm (up to one decimal place). (e,= 8.85x10-12C?N¯'m², µ, = 47x10 NA,c= 3x10° ms)arrow_forwardThe electric field and magnetic field in a sinusoidal electromagnetic wave which propagates in vacuum are given by E = (0.33î + bj)Emax Sin(kz – wt) B = (aî + 0.29 + yk)Bmax sin(kz + ôwt) where Emax = 2 V/m, k = 10° rad/m, w = 3 x 1014 rad/s and b, a, 7, 8 are some real numbers compatible with the properties of electromagnetic waves. Which of the following the value of y + baổ ? A) 0.9 B) -0.9 C) 1.81 D) -1.81 E) -0.45arrow_forward
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