Physics for Scientists and Engineers (Chaps 1-38)
Physics for Scientists and Engineers (Chaps 1-38)
4th Edition
ISBN: 9780132275590
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
Question
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Chapter 31, Problem 20P

(a)

To determine

Wavelength and frequency of electromagnetic wave if the electric field varies according to the equation E=i^(225V/m)sin[(0.077m-1)z(2.3×107rad/s)t].

(b)

To determine

The expression for magnetic field.

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An electromagnetic plane wave is propagating in the +x direction. At a certain point P and at a giveninstant, the electric field of the wave has a magnitude E = 82 V/m . The magnitude of the magneticfield of the wave at that point is 10 x 10^-7 5.4 x 10^-7 15 x 10^-7 1.7 x 10^-7 2.7 x 10^-7
An electromagnetic plane wave, that is propagating in the x-direction at a speed of 3.00 x108 m/s, has a peak electric field strength of 4,200 N/C and a wavelength of 900 nm. Which of the following functions represents the correct behavior for the magnetic field?   a. B(x, t) = (21 µT)sin[(9.00 x 10-7 m-1)x – (2.09 x 1015 rad/s)t]   b. B(x, t) = (28 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]   c. B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]   d. B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (3.14 x 1015 rad/s)t]   e. B(x, t) = (4,200 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]
A plane electromagnetic wave has the magnetic field given by B~ (x, y, z, t) = B0 sin (x + y)k√2+ ωtˆk where k is the wave number and ˆi, ˆj and ˆk are the Cartesian unit vectors in x, yand z directions, respectively.The electric field E~ (x, y, z, t) corresponding to the above wave is given by

Chapter 31 Solutions

Physics for Scientists and Engineers (Chaps 1-38)

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