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E- & B-fields of a Laser Beam A CO laser emits a sinusoidal...
solve part A,B,C Constants Part A - Practice Problem: and has a In this example we...
solve part A,B,C
Constants Part A - Practice Problem: and has a In this example we will calculate the electric and magnetic fields of a carbon dioxide laser. The laser erits a sinusoidal electromagnetic wave that travels in vacuum in the direction. The wavelength is 10.6 um, and the field is along the axis, with a maximum magnitude of 1.5 MV/m. Find the equations for the magnitudes of vectors E and B as functions of time and position. What is...
2. [40 pts] Gaussian Beam (Based on Textbook problem 1.4 and 1.5) A diode laser emits...
2. [40 pts] Gaussian Beam (Based on Textbook problem 1.4 and 1.5) A diode laser emits a Gaussian beam. The minimum waist diameter is 1 mm. The lasing wavelength is 514 nm. Find (a) Divergence angle 6div (b) The Rayleigh range (c) The diameter of the beam after propagating 10 m (d) 10 m away from the laser output aperture, you want to place a spherically curved mirror to reflect 1.0 mmthe beam back perfectly. Find the radius of curvature...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 4 cm. The wave equation is to be in the form of y = ym sin(kx - ωt + φ). (a) At t = 0, is a...
Problem 3: A sinusoidal plane electromagnetic wave travels in a vacuum in the x direction as...
Problem 3: A sinusoidal plane
electromagnetic wave travels in a vacuum in the x direction as
shown in the graph. The period of the wave is T = 2.5 ×
10-8 s.
Randomized VariablesT = 2.5 ×
10-8 s
Part (a) Express the wavelength of the wave,
λ, in terms of T and the speed of light,
c.
Part (b) Solve for the numerical value of
λ in m.
Part (c) Write the equation of the frequency,
f, in terms...
please answer fast:) Question 16 (1 point) A beam of light travels from a vacuum into...
please answer fast:)
Question 16 (1 point) A beam of light travels from a vacuum into water at an angle of 45º. The light has a freqency of 6.00 x 1014 Hz and travels at a speed of 2.26 x 108 m/s in water. The speed of light in a vacuum is 3.00 x 108 m/s. What is the wavelength of the light in the vacuum? a) 2.21 x 10-7m b) 3.77 x 10-7m OC) 5.00 x 10-7m d) 1.33...
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...
please answer all 6 questions A monochromatic laser beam of intensity le=553 W/m2 is polarized in...
please answer all 6 questions
A monochromatic laser beam of intensity le=553 W/m2 is polarized in the y-direction and propagates in the positive z direction. This beam is incident upon a quarter-wave plate whose fast axis makes an angle of 45 degrees with the x-axis as shown. Following the quarter-wave plate are two polarizers; the transmission axis of the first polarizer is aligned with the x-axis, while the transmission axis of the second polarizer makes an angle of 01 =...
A sinusoidal electromagnetic wave propagates in a vacuum in the positive x-direction. The B⃗ field oscillates...
A sinusoidal electromagnetic wave propagates in a vacuum in the
positive x-direction. The B⃗ field oscillates in the z-direction.
The wavelength of the wave is 30 nm and the amplitude of the B⃗
field oscillations is 1.0 × 10−2 T.
Part A Part complete What is the amplitude of the E⃗ field
oscillations? Express your answer with the appropriate units. Emax
= 3.0×106 NC
Part B Part complete Select the correct equation that describes
the B⃗ field of the wave...
HOMEWORK SET 3-Time Varying Fields Due date: 4/3/2019 1. A square coil, 0.60 m on a side, rotates...
HOMEWORK SET 3-Time Varying Fields Due date: 4/3/2019 1. A square coil, 0.60 m on a side, rotates about the x axis at ω-60π rad/s in a field B 0.80a: T, as shown in Fig 1. Find the induced voltage, 2. Given E = Em sin(cot-fba, in free space, find D, B, and H. Sketch E and H at 1-0. 3. Show that the E and H fields of Problem 2 constitute a wave traveling in the z direction. Verify...
Review Part A At one instant, the electric and magnetic fields at one point of an electromagnetic wave are E- (230i+350 j-60k)V/m and B-(7.91-7.0jt ak)Bs. What is the value of a? Express your answe...
Review Part A At one instant, the electric and magnetic fields at one point of an electromagnetic wave are E- (230i+350 j-60k)V/m and B-(7.91-7.0jt ak)Bs. What is the value of a? Express your answer using two significant figures. a--10.6 Answers Correct Part B What is the value of Bo? Express your answer using two significant figures. Bo- You have already submitted this answer. Enter a new answer. No credit lost. Try again. Part C What is the Poynting vector at...
solve part A,B,C
Constants Part A - Practice Problem: and has a In this example we will calculate the electric and magnetic fields of a carbon dioxide laser. The laser erits a sinusoidal electromagnetic wave that travels in vacuum in the direction. The wavelength is 10.6 um, and the field is along the axis, with a maximum magnitude of 1.5 MV/m. Find the equations for the magnitudes of vectors E and B as functions of time and position. What is...
2. [40 pts] Gaussian Beam (Based on Textbook problem 1.4 and 1.5) A diode laser emits a Gaussian beam. The minimum waist diameter is 1 mm. The lasing wavelength is 514 nm. Find (a) Divergence angle 6div (b) The Rayleigh range (c) The diameter of the beam after propagating 10 m (d) 10 m away from the laser output aperture, you want to place a spherically curved mirror to reflect 1.0 mmthe beam back perfectly. Find the radius of curvature...
Problem 3: A sinusoidal plane
electromagnetic wave travels in a vacuum in the x direction as
shown in the graph. The period of the wave is T = 2.5 ×
10-8 s.
Randomized VariablesT = 2.5 ×
10-8 s
Part (a) Express the wavelength of the wave,
λ, in terms of T and the speed of light,
c.
Part (b) Solve for the numerical value of
λ in m.
Part (c) Write the equation of the frequency,
f, in terms...
please answer fast:)
Question 16 (1 point) A beam of light travels from a vacuum into water at an angle of 45º. The light has a freqency of 6.00 x 1014 Hz and travels at a speed of 2.26 x 108 m/s in water. The speed of light in a vacuum is 3.00 x 108 m/s. What is the wavelength of the light in the vacuum? a) 2.21 x 10-7m b) 3.77 x 10-7m OC) 5.00 x 10-7m d) 1.33...
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...
please answer all 6 questions
A monochromatic laser beam of intensity le=553 W/m2 is polarized in the y-direction and propagates in the positive z direction. This beam is incident upon a quarter-wave plate whose fast axis makes an angle of 45 degrees with the x-axis as shown. Following the quarter-wave plate are two polarizers; the transmission axis of the first polarizer is aligned with the x-axis, while the transmission axis of the second polarizer makes an angle of 01 =...
A sinusoidal electromagnetic wave propagates in a vacuum in the
positive x-direction. The B⃗ field oscillates in the z-direction.
The wavelength of the wave is 30 nm and the amplitude of the B⃗
field oscillations is 1.0 × 10−2 T.
Part A Part complete What is the amplitude of the E⃗ field
oscillations? Express your answer with the appropriate units. Emax
= 3.0×106 NC
Part B Part complete Select the correct equation that describes
the B⃗ field of the wave...
HOMEWORK SET 3-Time Varying Fields Due date: 4/3/2019 1. A square coil, 0.60 m on a side, rotates about the x axis at ω-60π rad/s in a field B 0.80a: T, as shown in Fig 1. Find the induced voltage, 2. Given E = Em sin(cot-fba, in free space, find D, B, and H. Sketch E and H at 1-0. 3. Show that the E and H fields of Problem 2 constitute a wave traveling in the z direction. Verify...
Review Part A At one instant, the electric and magnetic fields at one point of an electromagnetic wave are E- (230i+350 j-60k)V/m and B-(7.91-7.0jt ak)Bs. What is the value of a? Express your answer using two significant figures. a--10.6 Answers Correct Part B What is the value of Bo? Express your answer using two significant figures. Bo- You have already submitted this answer. Enter a new answer. No credit lost. Try again. Part C What is the Poynting vector at...
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