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21. Which of the following is a possible equation for the electric field of an electromagnetic...
Which of the following is a possible equation for the electric field of an electromagnetic wave...
Which of the following is a possible equation for the electric
field of an electromagnetic wave with average intensity 0.00132W/m2
traveling in the +z direction with a magnetic field along the x
axis?
a. ?=(2 V/m) sin [(9.8x106 /m)z + (2.9x10^15 Hz)t]
?̂
b. ?=(1 V/m) sin [(9.8x106 /m)z - (2.9x10^15 Hz)t]
?̂
c. ?=(1 V/m) sin [(9.8x106 /m)z - (2.9x10^15 Hz)t]
?̂
d. ?=(2 V/m) sin [(9.8x106 /m)z + (2.9x10^15 Hz)t]
?̂
Which of the following is a possible...
An electromagnetic wave traveling in the -x direction in vacuum has a frequency 2x1014Hz. The electric...
An electromagnetic wave traveling in the -x direction in vacuum
has a frequency 2x1014Hz. The electric field in the wave has
maximum value of 2 V/m. If we define the time and position such
that the electric field has maximum value at position x=0 at
time=0, a possible equation describing the electric field is:
"⃗
a. ?=(2V/m)sin[(4.2x106 /m)x-(1.3x1015Hz)t]?̂
"⃗ ' b. ?=(2V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?
"⃗ ' c. ?=(1V/m)sin[(1.3x1015 /m)x-(4.2x106Hz)t]?
"⃗
d. ?=(4V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?̂
2. An electromagnetic wave traveling in the -x...
20. A coil with 10 turns of area 0.05m is place in a magnetic field of...
20. A coil with 10 turns of area 0.05m is place in a magnetic field of strength 0.4 T. The coil is then rotated in such a way that the cosine of the angle between a perpendicular to plane of the coil and the field changes uniformly from 0.0 to 1.0 in 10 seconds. The EMF induced in the coil during this period is: a. 20.0 V b. 2.0 V c. 0.2 V d. 0.02 V 21. Which of the...
2. The electric field in a plane wave is described by the equation (k > 0):...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
The electric field of an electromagnetic wave points in the negative y-direction. At the same time,...
The electric field of an electromagnetic wave points in the negative y-direction. At the same time, the magnetic field of this wave points in the negative x-direction. In what direction is the wave traveling? +x-direction -x-direction +y-direction -y-direction +z-direction -z-direction Find the frequency of blue light with a wavelength of 454 nm. Hz What is the rms value of the electric field in a sinusoidal electromagnetic wave that has a maximum electric field of 94 V/m? V/m
Timer Evalt The components of the electric field in an electromagnetic wave traveling in vacuum are...
Timer Evalt The components of the electric field in an electromagnetic wave traveling in vacuum are described by Ex = 0, y = 0, and Ez = 4.69 sin(3.81x - wt) V/m, where x is measured in meters and t in seconds. Calculate the frequency of the wave. E Tries 0/12 Calculate the wavelength of the wave. ** Tries 0/12 Calculate the amplitude of the magnetic field of the wave. SK Tries 0/12 Calculate the intensity of the wave. Tries...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
т The electric field of an electromagnetic wave in vacuum is Ē (ř,t) = 12.0 cos(x...
т The electric field of an electromagnetic wave in vacuum is Ē (ř,t) = 12.0 cos(x – y + wt) Ř. a) Find the angular frequency. b) Find the magnetic field. c) Find the Intensity of the electromagnetic wave.
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with...
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with wavelength 1 = 674 nm, propagating in a vacuum in the z-direction is described by B= (Bộ sin(kz - t) (+3) where B, = 4.8 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m1 Submit 2) What is Zmax, the distance along the positive Z-axis...
The electric field of an electromagnetic wave traveling in the vacuum of space is described by...
The electric field of an electromagnetic wave traveling in the vacuum of space is described by E = (4.60 ✕ 10−3) sin(kx − ωt) V/m. (a) What is the maximum value of the associated magnetic field for this electromagnetic wave? ____T (b) What is the average energy density of the wave? ___J/m3
Which of the following is a possible equation for the electric
field of an electromagnetic wave with average intensity 0.00132W/m2
traveling in the +z direction with a magnetic field along the x
axis?
a. ?=(2 V/m) sin [(9.8x106 /m)z + (2.9x10^15 Hz)t]
?̂
b. ?=(1 V/m) sin [(9.8x106 /m)z - (2.9x10^15 Hz)t]
?̂
c. ?=(1 V/m) sin [(9.8x106 /m)z - (2.9x10^15 Hz)t]
?̂
d. ?=(2 V/m) sin [(9.8x106 /m)z + (2.9x10^15 Hz)t]
?̂
Which of the following is a possible...
An electromagnetic wave traveling in the -x direction in vacuum
has a frequency 2x1014Hz. The electric field in the wave has
maximum value of 2 V/m. If we define the time and position such
that the electric field has maximum value at position x=0 at
time=0, a possible equation describing the electric field is:
"⃗
a. ?=(2V/m)sin[(4.2x106 /m)x-(1.3x1015Hz)t]?̂
"⃗ ' b. ?=(2V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?
"⃗ ' c. ?=(1V/m)sin[(1.3x1015 /m)x-(4.2x106Hz)t]?
"⃗
d. ?=(4V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?̂
2. An electromagnetic wave traveling in the -x...
20. A coil with 10 turns of area 0.05m is place in a magnetic field of strength 0.4 T. The coil is then rotated in such a way that the cosine of the angle between a perpendicular to plane of the coil and the field changes uniformly from 0.0 to 1.0 in 10 seconds. The EMF induced in the coil during this period is: a. 20.0 V b. 2.0 V c. 0.2 V d. 0.02 V 21. Which of the...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
The electric field of an electromagnetic wave points in the negative y-direction. At the same time, the magnetic field of this wave points in the negative x-direction. In what direction is the wave traveling? +x-direction -x-direction +y-direction -y-direction +z-direction -z-direction Find the frequency of blue light with a wavelength of 454 nm. Hz What is the rms value of the electric field in a sinusoidal electromagnetic wave that has a maximum electric field of 94 V/m? V/m
Timer Evalt The components of the electric field in an electromagnetic wave traveling in vacuum are described by Ex = 0, y = 0, and Ez = 4.69 sin(3.81x - wt) V/m, where x is measured in meters and t in seconds. Calculate the frequency of the wave. E Tries 0/12 Calculate the wavelength of the wave. ** Tries 0/12 Calculate the amplitude of the magnetic field of the wave. SK Tries 0/12 Calculate the intensity of the wave. Tries...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
т The electric field of an electromagnetic wave in vacuum is Ē (ř,t) = 12.0 cos(x – y + wt) Ř. a) Find the angular frequency. b) Find the magnetic field. c) Find the Intensity of the electromagnetic wave.
Electromagnetic Waves 1 2 3 468 The magnetic field in a plane monochromatic electromagnetic wave with wavelength 1 = 674 nm, propagating in a vacuum in the z-direction is described by B= (Bộ sin(kz - t) (+3) where B, = 4.8 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m1 Submit 2) What is Zmax, the distance along the positive Z-axis...
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