In this problem we will consider light waves emitted by a laser pointer. The laser emits a linearly polarized light wave that we can approximate as a plane electromagnetic wave. The electric field associated with this wave can be written: É(z,t) = 2E cos(wt - kz) The free-space wavelength of the laser is λ = 532 nm. In other words, when the laser light propagates in vacuum, the wavelength is 532 nm. In this problem, let's imagine that this laser light is propagating through a nonmagnetic, glass material with relative permittivity = 2.25. (a) Is this laser light in the visible part of the electromagnetic spectrum? If so, what color is this laser? (b) What is the direction of propagation of E(z,t)? (c) What is the frequency of the wave (in THz)? (d) What is the phase velocity of the wave? (e) What is k? (f) What is the wavelength of the laser light inside the glass material? (Note: this wavelength might differ from the free-space wavelength.) (g) Find the H-field, Ĥ(z,t), associated with Ē(z,t). (h) Write Ē(z,t) and Ĥ(z,t) in phasor form.

In this problem we will consider light waves emitted by a laser pointer. The laser emits a linearly polarized light wave that we can approximate as a plane electromagnetic wave. The electric field associated with this wave can be written: É(z,t) = 2E cos(wt - kz) The free-space wavelength of the laser is λ = 532 nm. In other words, when the laser light propagates in vacuum, the wavelength is 532 nm. In this problem, let's imagine that this laser light is propagating through a nonmagnetic, glass material with relative permittivity = 2.25. (a) Is this laser light in the visible part of the electromagnetic spectrum? If so, what color is this laser? (b) What is the direction of propagation of E(z,t)? (c) What is the frequency of the wave (in THz)? (d) What is the phase velocity of the wave? (e) What is k? (f) What is the wavelength of the laser light inside the glass material? (Note: this wavelength might differ from the free-space wavelength.) (g) Find the H-field, Ĥ(z,t), associated with Ē(z,t). (h) Write Ē(z,t) and Ĥ(z,t) in phasor form.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Can you help me with the literal d please

A: The expressions for the variations in space and time of the electric and magnetic fields are:E(x, t)…

Q: For the system of capacitors shown in the figure below, find the following. (Let C₁ = 3.00 μF and C₂…

Q: Problem 1: A syringe which is covered at the end starts with 50 mL of air at 1 atm. The temperature…

A: A) Write the ideal gas equation to determine the number of moles of gas.

Q: I Revie To extricate an SUV stuck in the mud, workmen use three horizontal ropes, producing the…

A: Given F1 = 985 N, θ1 =31 F2 = 788 N, θ2 =90+32=122 F3 = 411 N, θ3 =180+53=233 We have to find out…

Q: P• d

Q: If a power company charges about 10 e per kilowatt-hour, how much would this energy cost per day if…

A: Tha charge: The energy:

Q: 18 A projectile is fired from level ground with initial speed V at an angle of 0 to the horizontal.…

Q: A 5kg mass is acted upon by a force of 60N for 11s. Calculate a.) Impulse b.) Change in velocity of…

Q: When the temperature of a copper coin is raised by 120 C°, its diameter increases by 0.20%. To two…

A: Increase in temperature ∆T=120oCIncrease in diameter ∆dd=0.2 % When solid materials are heated it…

Q: A sandbag is dropped from a balloon which is ascending vertically at a constant speed of 6m/sec . If…

A: The speed of the ball as it hits the ground and the altitude of the balloon at this instant. given,…

Q: Calculate the scalar product v· F.Assume the velocity has only components found in the previous…

Q: Evaluate E at r=4.3 cm if L=5.0 cm and Q=4.4 nC. Express your answer to two significant figures and…

Q: 2. The position (X, Y, Z) of a particle of mass M is given by the following equations: X = 2ter + (3…

A: Given data: The X component of position is, X=2teαπ+β+1t-γt3 The Y component of position is,…

Q: As a ball falls under the influence of gravity, does gravity do positive work or negative work?…

Q: Can someone help me with problem, I need help with question A and B and I was wondering if you can…

A: Given, Surface charge density is η=3.2μC/m2 and the diameter of the circular hole. The distance of…

Q: Solve c

A: Asgiven in part (b), the output power is =0.31mW and from part (c),input power is= VI =…

Q: 3. The formula for differential volume in a spherical coordinate. a. r? sin e dr de do b. r? sin o…

Q: Part B What is the resistance of a carbon rod at 25.8° C if its resistance is 0.0140 N at 0.0° C?…

Q: The electric potential (voltage) in a particular region of space is given by: V(x.y,z) = { K (x³z² -…

Q: 1. What does the slope of the line represent? 2. What is its unit of measure? 3. Choose another set…

A: Given:A table with time and corresponding distance valuesAsked:what is the slope of the line?what…

Q: (a)Find the acceleration of the boxes (b)What is the force block 1 exert on block 2? 10.0 N 1 3kg 2…

Q: I need part d only within 20 minutes (handwritten solution acceptable)plz

A: The object loses some weight when immersed partially or completely in liquid or fluid called…

Q: 1.What is the induced emf if the magnetic field through a 10 turn coil increases at a rate of .2…

A: The given data are: N=10Bt=0.2 T/sr=0.5 mV=2 V Here, N, B, r, and V represent the turns, magnetic…

Q: Determine the magnitude of the resultant (F, + F₂) force in N when F₁ = { 10 i+20 j} N and F₂ = { 20…

A: Given data: Two forces F1 = (10i + 20j) N F2 = (20i + 20j) N Required: The magnitude of the…

Q: Two neutron stars are separated by a distance of 1.0 x 101" m. They each have a mass of 1.0 x 1031…

A: in the Given question two Newton's starts are separated by distance 1× 1011 m Mass of each Neutron…

Q: A spherical mirror is to be used to form an image 4.90 times the size of an object on a screen…

Q: Find only part c

A: The objective of the question is to find the amplitude of the oscillations of the glider.

Q: 3. (Young, et al., Sears and Zemansky's University Physics: with Modern Physics 13th Ed) A Carnot…

A: Write the given values with the suitable variables. TH=520 KTL=300 KQH=6.45 kJ=6.45×103 J Here, TH,…

Q: 2. A rectangular loop of wire has dimensions 0.500 m by P 0.300 m. The loop is pivoted at the x axis…

A: # NOTE: Thank you for the question. As per the company honor code, we are allowed to answer up to…

Q: Determine the components of the reactions at A and B 30 kN 10 kN 15 kN 42 10 kN/m A B. 1.5 m 1.5m 3m…

A: In this, there are two different questions are given so we will solve first question for you. If you…

Q: Which numerical method used frequently by scientists and engineers to solve Maxwell's equations in…

A: Given, Maxwell's equation in time domain

Q: of light rods, light strings, an

Q: 18. True or False: Dx and D2x are both negative? A. True. B. False. 19. The turtle's resultant…

A: Please see the answer below.

Q: (e) If the initial charge is Q(0) = 0 C, use Euler's method with step size 0.1 to estimate the…

A: answer: e) To use Euler's method to estimate the charge Q after half a second, we need to…

Q: A 50 N box has an applied force on it of 40 N that makes an angle of 30 with the horizontal. The box…

Q: do The cungular Velacity was not fast eneugh. So a Kanked truck ol 12 was made what is tue maximum…

A: Subpart (d): Banking of roads is made at the edges of a curved roads above the inner edge. This…

Q: The square surface shown in the figure measures 3.5 mm on each side. It is immersed in a uniform…

A: Given: The strength of the electric field is 1400 N/C. The side of the square loop is 3.5 mm. The…

Q: Flying Circus of Physics Traffic shock wave. An abrupt slowdown in concentrated traffic can travel…

A: Speed of faster cars (): 27.0 m/sSpeed of slower cars (): 5.30 m/sThe length added by each faster…

Q: please provide help for the following problem.

A: Using the lens equation,

Q: Figure 2 below shows three different magnitudes of charges that located along the circumference a…

Q: e) What is the magnetic torque on the current loop? [0.0187 ) What is the direction of the torque on…

A: Given Data: Current in square loop: Iloop = 8 A Square plane of current loop makes an angle θ = 320…

Q: I can not read this formula. This is written by you in a reply. Please type it.

A: Solution: As per the given data,

Q: Problem 4: A firecracker is thrown into the air. At the peak of its path (where its velocify is…

Q: ung, et al., Sears and Zemansky's University Physics: with Modern Physics 13th Ed) A plastic ball…

A: Given: The radius of the ball is 12.0 cm or 0.12 m. The percentage of ball's volume that…

Q: can i have the steps and commands used to plot the graph in matlab

A: m = 260000; % mass of the train in kgk = 65000; % spring stiffness in N/mvr0 = 0.25; % reference…

Q: R1 = (ID# – 2190000)0.61 R2 = (ID# – 2190000)0.62 R3 = (ID# – 2190000)0.63 R1 3. Determine the value…

A: Given Id=2211650 R1=(Id-2190000)0.61 R2=(Id-2190000)0.62 R3=(Id-2190000)0.63

Q: Work and Energy Type Question: A rollercoaster comprises a complex path of varying slopes using a…

Q: A level circular curving exit off of a freeway (or highway) has a radius of 55.0 m and a posted…

Question

please help with parts E - H please.

2. Electromagnetic waves from a laser pointer
In this problem we will consider light waves emitted by a laser pointer. The laser emits
a linearly polarized light wave that we can approximate as a plane electromagnetic
wave. The electric field associated with this wave can be written:
E(z,t) = 2E cos(wt - kz)
The free-space wavelength of the laser is A = 532 nm. In other words, when the
laser light propagates in vacuum, the wavelength is 532 nm. In this problem, let's
imagine that this laser light is propagating through a nonmagnetic, glass material
with relative permittivity € = 2.25.
(a) Is this laser light in the visible part of the electromagnetic spectrum? If so,
what color is this laser?
(b) What is the direction of propagation of Ē(z,t)?
(c) What is the frequency of the wave (in THz)?
(d) What is the phase velocity of the wave?
(e) What is k?
(f) What is the wavelength of the laser light inside the glass material? (Note: this
wavelength might differ from the free-space wavelength.)
(g) Find the H-field, Ĥ(z,t), associated with Ē(z,t).
(h) Write E(z,t) and Ĥ(z,t) in phasor form.
SOMETHING TO CONSIDER: Let's say that the laser emits an average power of
5 mW. Additionally, the laser forms a beam that has a cross-sectional area of 1 mm².
Can you estimate the maximum electric field associated with this laser, that is, can
you estimate E?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given that:

VIEW

Step 2: a) Color of laser:

VIEW

Step 3: b) Direction of propagation:

VIEW

Step 4: c) Frequency of the EM wave:

VIEW

Step 5: d) Phase velocity:

VIEW

Step 6: e) what is k?

VIEW

Step 7: f) Wavelength of light in the given medium:

VIEW

Step 8: g) H field from given E field:

VIEW

Step 9: h) Phasor form of E and H:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 10 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.