An E&M wave has an e-field given by E(x, t) = -(9,90/m)k cos(ky + wt) and its wavelength is known to be 20 micrometers. Which of the following is correct for B(x,t) and the direction of propagation? (c = 3x10° m/s) B(x, t) = -(0.165 µA)i cos ((4.6 x 106 rad/m)y +(9.42 x 1013 rad/s)t).,y B(x,t) = (33.0 nT)f cos ((6.28 x 105 rad/m)y + (2.78 × 1013 rad/s)t).-x B(x, t) = (33.0 nT)i cos ((3.14 x 105 rad/m)y + (9.42 x 1013 rad/s)e), -y B(x,t) = (11.5 µT)î cos ((4.6 x 10² rad/m)y+(1.38 × 1013 rad/ I. II. II. IV. ,-y. O Iv O II

An E&M wave has an e-field given by E(x, t) = -(9,90/m)k cos(ky + wt) and its wavelength is known to be 20 micrometers. Which of the following is correct for B(x,t) and the direction of propagation? (c = 3x10° m/s) B(x, t) = -(0.165 µA)i cos ((4.6 x 106 rad/m)y +(9.42 x 1013 rad/s)t).,y B(x,t) = (33.0 nT)f cos ((6.28 x 105 rad/m)y + (2.78 × 1013 rad/s)t).-x B(x, t) = (33.0 nT)i cos ((3.14 x 105 rad/m)y + (9.42 x 1013 rad/s)e), -y B(x,t) = (11.5 µT)î cos ((4.6 x 10² rad/m)y+(1.38 × 1013 rad/ I. II. II. IV. ,-y. O Iv O II

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Given y=0.3cos(10t-4x), find the frequency, wavelength, wave velocity, direction of propagation, and the displacement at t=0, x=0. Please include all calculations and units.
Red light has a frequency of 4.0 x 1014 its wavelength? Hz and a speed of 3.0 x 10° m/s. What is O 750 x 10-7 m O 750 cm O13x10° m O 1.3 10 m O 750 nm 12 m
Under favorable conditions, the human eye can detect light waves with intensities as low as 2.50 × 10−12 W/m2. A) At this intensity, what is the average power incident on a pupil of diameter 8.20 mm in W B) If this light is produced by an isotropic source 15.5 m away, what is the average power emitted by the source? in W
An interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2 s') and a block of copper (with an acoustic impedance of 4.6 x 107 kg m-2 s-1). Longitudinal sound waves travelling through the aluminium are normally incident on the boundary, and are partially reflected. a) What is the ratio of the amplitude of the reflected wave to that of the incident wave? Number b) What is the ratio of the amplitude of the transmitted wave to that of the incident wave? Number c) What percentage of the incident power is transmitted? Number d) What percentage of the incident power is reflected? Number % Ouit P Sove Questi
Two identical traveling waves of the form Acos(kx - ωt+ø) are moving in the same direction and are out of phase by ø=π/2 radians. If the amplitude of each wave is 10 cm what is is the amplitude of the superposition of the two waves. Use the trig identity Acos(x) + Acos(y) = 2Acos(x+y)/2)cos((x-y)/2). Substitute x = kx - ωt and y = kx - ωt + ø and you get 2Acos(ø/2)cos(kx - ωt + ø/2). The amplitude of the superposition wave is 2Acos(ø/2). Plug in ø=π/2 radians and the amplitude of the traveling waves to get your answer. Make sure your calculator is set to radians.
A plane wave is travelling in a direction on a surface of water. If the positive direction of x-coordinate is regarde d as the same the travelling direction of the wave, the displacement, y, of the wat er Surface at the point /x and at time, t can be represented the equation as by y Cx,t)= A sin C pt - qx) . A ,p and q are dll positive constants and the ratio of a circle 's circumf erence to its diameter is t- Determi ne whether the wave travel s în positive or negative direction reason. Of x-axis· Provide
Two harmonic waves are given by: y1=Acos(kx−ωt) and y2=Asin(kx−wt+π/3) where k=5πm−1, ω=800πs−1 and A=4.0cm sin(theta1) +/- sin(theta2) = 2sin( (theta1 +/- theta2) /2) cos( (theta1 -/+ theta2) /2) Using the provided identity, find the equation of the resultant wave and its amplitude. Show all work.
For the nonsinusoidal wave, suppose that E = 100 V/m = 100 N/C. Find the value of B, the energy density u, and the rate of energy flow per unit area S
K:13)
The WCCO AM radio transmitter has a power of 49800 W. You measure the intensity of the signal to be 8×10−6 W/m^2. How far are you from the tower? (in km)(a) 7.89×101 km(b) 2.23×101 km(c) 4.45×101 km(d) 1.98×106 km(e) 8.90×101 km
A wave propagation is represented by y = 4 sin (20nt – x) where x is in cm and t is in s. Calculate the 4. (a) (b) (c) Wavelength Frequency Velocity [1 = 12 m; f = 10 Hz; v = 120 ms-1]
Imagine you are at a location where some incident light source provides light at an intensity of 25 W/m^2. Now you move 5 time closer to the light source (aka your distance is 1/5 its initial value). What is the intensity of the light at this new location