(a)
The direction in which the wave is travelling.
(a)
Answer to Problem 67PQ
The direction in which the wave is travelling is
Explanation of Solution
Write the expression for magnetic field of
Here,
Compare equation (I) with given equation of magnetic field.
Conclusion:
Therefore, the direction in which the wave is travelling is
(b)
The wave number, wave-length and frequency of the electro-magnetic wave.
(b)
Answer to Problem 67PQ
The wave number is
Explanation of Solution
Write the expression for wave-length of the electro-magnetic wave.
Here,
Write the expression for frequency of radiation.
Here,
Conclusion:
Compare equation (I) with given equation of magnetic field.
The wave number is
Substitute
Substitute
Therefore, the wave number is
(c)
The expression for electric field of electromagnetic wave
(c)
Answer to Problem 67PQ
The expression for electric field of electromagnetic wave is given below.
Explanation of Solution
Write the expression for maximum value of electric field of
Write the expression for electric field of electromagnetic wave.
Write the expression for angular frequency.
Conclusion:
Substitute
Substitute
Substitute
Therefore, the expression for electric field of electromagnetic wave is given below.
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Chapter 34 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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- The 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_forwardThe electric field of an electromagnetic wave in a vacuum is Ey =( 23.0 V/m)cos((V/m)cos(( 9.78 ×108)x−ωt), where x is in mm and t is in s. What s the wave's wavelength? Express your answer with the appropriate units. What is the wave's frequency? Express your answer with the appropriate units. What is the wave's magnetic field amplitude? Express your answer with the appropriate units.arrow_forwardAn 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]arrow_forward
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- In a single component of an electromagnetic plane wave, what is the relative orientation of the vector directions of the electric field, the magnetic field, and the propagationg direction? O a. The electric and magnetic fields are perpendicular to each other and are both perpendicular to the propagation direction. O b. The electric and magnetic fields are parallel to each other and are both perpendicular to the propagation direction. O c. The electric and magnetic fields are perpendicular to each other and are both parallel to the propagation direction. O d. The electric field direction, magnetic field direction, and propagation direction can be oriented independent of one another and in any direction. O e. The electric and magnetic fields are parallel to each other and are both parallel to the propagation direction.arrow_forwardAnswer step by step the following question. An electromagnetic wave has the electric field given by E(y, t) =3, 6 × 105V/m k cos [k.y − (10, 5 × 1012 rad/s).t].a. What is the propagation direction of the EM wave? Justify your answerb. What is the wavelength of this wave?c. Write the magnetic field equation B (y, t)associated with this EM wave.arrow_forwardThe electric part of an electromagnetic wave is given by E(x, t) = 0.75 sin (0.30x - wt) V/m in Sl units. a. What are the angular wave number and the wavelength?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning