Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 34, Problem 77CP
(a)
To determine
The maximum value of magnetic field.
(b)
To determine
The value of propagation constant
(c)
To determine
The natural frequency
(d)
To determine
The direction of vibration of the magnetic field vector.
(e)
To determine
The average value of poynting vector.
(f)
To determine
The
(g)
To determine
The acceleration imparted to sheet by wave.
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A linearly polarized sinusoidal electromagnetic wave moving in the positive x direction has a wavelength of 7.60 mm. The magnetic field of the wave oscillates
in the xz plane and has an amplitude of 6.90 µT. The magnitude of the electric field vector for this wave can be written as E =
Emax sin(kx – øt). What are
the following?
(a) the value of Emax
2070
V/m
(b) the wave number k
826.73
m-1
(c) the angular frequency w
2.48e11
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(d) the plane in which the electric field oscillates
the xz plane
the yz plane
the xy plane
(e) the average Poynting vector (Express your answer in vector form.)
Sav
11.37 · 10°i
X W/m²
(f) the radiation pressure exerted by this wave on a perfectly reflecting lightweight solar sail
3.79e-5
Pa
(g) the acceleration of the solar sail if its dimensions are 5.00 m x 8.00 m and its mass is 40.0 g
0.038
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The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction
has an amplitude of 30 mA/m and a frequency of-
10
Hz . If the wave is polarized on the positive z direction
and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase
is 0.
Select one:
O a. E(y, t) = -2.4īcos(10°t – y) V/m
12.6
O b. E(y, t) = 2400žcos(2710°t – 12.6y) V/m
O c. E(y, t) = 2.4ricos(10*t – y) V/m
12.6
O d. E(z, t) = 2.4jcos(10°t -
z) mv/m
12.6
O e. E(y, t) = 1.6žcos(t – 2.10®ry) v/m
O f. E(y, t) = 30žcos(10°t + y) mv/m
27
12.6
Problem 8: The magnetic field of an electromagnetic wave is described by B, = Bocos(kx - ot), where Bo = 2.5 x 10-6 T and o = 6.5 x 10' rad/s.
Randomized Variables
Bo = 2.5 x 10-6 T
w = 6.5 x 107 rad's
Part (a) What is the amplitude of the corresponding electric field oscillations, Eg, in terms of Bo?
E, =
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Part (b) Calculate the electric field En in volts per meter.
Part (c) What is the frequency of the electromagnetic wave, f, in terms of w?
f- co( 2 n) v
Part (d) What is the wavelength of the electromagnetic wave, 1, in terms of w and the speed of light c?
i = c/( o/( 2 n)) v
Part (e) Calculate the wavelength i in meters.
Chapter 34 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 34.1 - Prob. 34.1QQCh. 34.3 - What is the phase difference between the...Ch. 34.3 - Prob. 34.3QQCh. 34.5 - Prob. 34.4QQCh. 34.6 - Prob. 34.5QQCh. 34.7 - Prob. 34.6QQCh. 34.7 - Prob. 34.7QQCh. 34 - Prob. 1OQCh. 34 - Prob. 2OQCh. 34 - Prob. 3OQ
Ch. 34 - Prob. 4OQCh. 34 - Prob. 5OQCh. 34 - Prob. 6OQCh. 34 - Prob. 7OQCh. 34 - Prob. 8OQCh. 34 - Prob. 9OQCh. 34 - Prob. 10OQCh. 34 - Prob. 11OQCh. 34 - Prob. 1CQCh. 34 - Prob. 2CQCh. 34 - Prob. 3CQCh. 34 - Prob. 4CQCh. 34 - Prob. 5CQCh. 34 - Prob. 6CQCh. 34 - Prob. 7CQCh. 34 - Do Maxwells equations allow for the existence of...Ch. 34 - Prob. 9CQCh. 34 - Prob. 10CQCh. 34 - Prob. 11CQCh. 34 - Prob. 12CQCh. 34 - Prob. 13CQCh. 34 - Prob. 1PCh. 34 - Prob. 2PCh. 34 - Prob. 3PCh. 34 - Prob. 4PCh. 34 - Prob. 5PCh. 34 - Prob. 6PCh. 34 - Prob. 7PCh. 34 - Prob. 8PCh. 34 - The distance to the North Star, Polaris, is...Ch. 34 - Prob. 10PCh. 34 - Prob. 11PCh. 34 - Prob. 12PCh. 34 - Prob. 13PCh. 34 - Prob. 14PCh. 34 - Prob. 15PCh. 34 - Prob. 16PCh. 34 - Prob. 17PCh. 34 - Prob. 18PCh. 34 - Prob. 19PCh. 34 - Prob. 20PCh. 34 - If the intensity of sunlight at the Earths surface...Ch. 34 - Prob. 22PCh. 34 - Prob. 23PCh. 34 - Prob. 24PCh. 34 - Prob. 25PCh. 34 - Review. Model the electromagnetic wave in a...Ch. 34 - Prob. 27PCh. 34 - Prob. 28PCh. 34 - Prob. 29PCh. 34 - Prob. 30PCh. 34 - Prob. 31PCh. 34 - Prob. 32PCh. 34 - Prob. 33PCh. 34 - Prob. 34PCh. 34 - Prob. 35PCh. 34 - Prob. 36PCh. 34 - Prob. 37PCh. 34 - Prob. 38PCh. 34 - Prob. 39PCh. 34 - The intensity of sunlight at the Earths distance...Ch. 34 - Prob. 41PCh. 34 - Prob. 42PCh. 34 - Prob. 43PCh. 34 - Extremely low-frequency (ELF) waves that can...Ch. 34 - Prob. 45PCh. 34 - A large, flat sheet carries a uniformly...Ch. 34 - Prob. 47PCh. 34 - Prob. 48PCh. 34 - Prob. 49PCh. 34 - Prob. 50PCh. 34 - Prob. 51PCh. 34 - Prob. 52PCh. 34 - Prob. 53PCh. 34 - Prob. 54APCh. 34 - Prob. 55APCh. 34 - Prob. 56APCh. 34 - Prob. 57APCh. 34 - Prob. 58APCh. 34 - One goal of the Russian space program is to...Ch. 34 - Prob. 60APCh. 34 - Prob. 61APCh. 34 - Prob. 62APCh. 34 - Prob. 63APCh. 34 - Prob. 64APCh. 34 - Prob. 65APCh. 34 - Prob. 66APCh. 34 - Prob. 67APCh. 34 - Prob. 68APCh. 34 - Prob. 69APCh. 34 - Prob. 70APCh. 34 - Prob. 71APCh. 34 - Prob. 72APCh. 34 - Prob. 73APCh. 34 - Prob. 74APCh. 34 - Prob. 75APCh. 34 - Prob. 76CPCh. 34 - Prob. 77CPCh. 34 - Prob. 78CPCh. 34 - Prob. 79CP
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- Figure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.arrow_forwardIf the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?arrow_forwardThe electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E =(5.00V/m)cos[kx(6.00109s1)t+0.40] j where k is the wavenumber in rad/m, x is in m, t s in Find the following quantities: (a) amplitude (b) frequency (c) wavelength (d) the direction of the travel of the wave (e) the associated magnetic field wavearrow_forward
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