Question
A sinusoidal
E = (9.71E4 V/m) × sin ((2.06E11 rad/s) t – (687 rad/m) x ) .
What is the average intensity of this electromagnetic wave (in W/m2)?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 4 steps with 12 images
Knowledge Booster
Similar questions
- (a) The distance to a star is approximately 4.94 ✕ 1018 m. If this star were to burn out today, in how many years would we see it disappear? years(b) How long does it take sunlight to reach Earth? minutes(c) How long does it take for a microwave radar signal to travel from Earth to the Moon and back? (The distance from Earth to the Moon is 3.84 ✕ 105 km.) sarrow_forwardAn electromagnetic wave is traveling in a vacuum. The magnetic field is given by: B(z.t)=(1.00x10^-8 T) cos (kz-6.30x10^-8 t) i a) Find the frequency of the wave. b) Find the wavelength c) What is the direction of propagation of this wave? d) What is the wave number of the wave (k)? e) Find the electric field vector E(z,t)arrow_forwardA 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.arrow_forward
- A plane electromagnetic wave of intensity 100.0 W/m2 travels in vacuum. What is the amplitude of the electric component of this wave? Note: The speed of light in vacuum isarrow_forwardA point source emits electromagnetic energy at a rate of (1.034x10^2) Joules per second. What is the intensity of the electromagnetic radiation (1.01x10^1) m from the source? Express your result with three significant figures in mW/m². Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: Answer x10arrow_forwardAn electromagnetic wave traveling in vacuum far away from its source has a magnetic field B(z, t) = – (8.25 × 10–9 T) ĵ sin[(1.38 × 104 rad/m) z + ω t)].(a) Determine the frequency, angular frequency and wavelength of the wave.(b) Find the electric field (vector) as a function of position and time only.(c) The wave is aimed at a 10 cm × 10 cm square which absorbs the wave completely. How muchenergy is delivered to the square each hour?arrow_forward
- Consider an electromagnetic wave in which the electric field is E' =EOj^cos(kx-wt) E→=E0j^cos(kx-wt), with k = 1.083x10' m^-1 and ww = 3.247x1015 rad/s. Assume the light intensity (=(6P/SA)avg. =(SP/ SA)avg. ) is 0.170 W/m^2. (a) What is the maximum electric field strength, EOEO? (in V/m) (b) What is the maximum magnetic field strength, BOBO? (in T) (c) What is the wavelength? (in m)arrow_forwardAn electromagnetic wave of frequency 7.7×10¹3 Hz falls on a medium of refractive index 4.9. The speed of E-M waves in vacuum is 3×108 m/s. = The wavelength of the E-M wave in vacuum, λo The speed of the E-M wave in the medium, v = 3.8961038 x Unit nm 61224489.✔ Unit m/s The wavelength of the E-M wave in the medium, λ = If the incident wave falls from air and the angle of incidence is 44°, what is the angle of refraction? The angle of refraction, 0₁ = Unit degree Unit nmarrow_forwardLight with a wavelength of 571 nm is in the visible part of the electromagnetic spectrum. What is the numerical value of the exponent p if 571 nm = 571 x 10² cm? p= Report your numerical answer below, assuming three significant figures.arrow_forward
- Consider electromagnetic waves in free space. What is the wavelength of a wave that has the following frequencies? (a) 4.20 ✕ 1011 Hz m(b) 6.76 ✕ 1016 Hz marrow_forwardConsider electromagnetic waves in free space. What is the wavelength of a wave that has the following frequencies? (a) 4.24 x 10¹¹ Hz (b) m 8.28 x 10¹6 Hz marrow_forwardAn electromagnetic wave of wavelength 235 nm is traveling in vacuum in the z-direction. The electric field has an amplitude 2.70×10-3 V/m and is parallel to the x-axis What is the frequency of the electromagnetic wave?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios