. The electric field associated with an electromagnetic wave in vacuum is given by E =i 40 cos (kz - 6 x 10°t), where E, z and t are in V/m, metre and second, respectively. The value of wave vector k is (a) 2 m- (c) 6 m-1 (b) 0.5 m (d) 3 m-1

. The electric field associated with an electromagnetic wave in vacuum is given by E =i 40 cos (kz - 6 x 10°t), where E, z and t are in V/m, metre and second, respectively. The value of wave vector k is (a) 2 m- (c) 6 m-1 (b) 0.5 m (d) 3 m-1

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 4CQ: If the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic...

See similar textbooks

Related questions

Q: Calculate the gravitational potential energy of a 12• 3 kg box on a shelf 7.0 m above the floor. Ass...

A: Given that The mass of the box is (m) = 12.3 Kg Height of the sh...

Q: . A battery has an emf E and internal resistance r. A variable resistance R is connected across the ...

Q: C, = 10 mF and C, = 2 mF in parallel with 12 V = V %3D %3D C, = 4 µF and C, = 2 µF in parallel with ...

Q: Three vectors are represented by A, 4.2∠45◦, B, 5.5∠−32◦ , and C, 2.8∠75◦. Determine in polar form t...

Q: A gracing car unifortm what distonce, will .it coverin 19 secondo oftesithe t0gr ha d aceelestation ...

A: Acceleration (a) = 10 ms2Initial velocity (u) = 0 mstime (t) = 12 seconds

Q: A nitrogen gas with a volume of 11.75 L was placed inside a chamber with a pressure of 2022 psi at a...

A: Ideal gas equation PV = nRT Here R is constant PV/T = nR = constant B...

Q: Problem 5: An electric current of I= 0.55 A flows through a long, straight wire. The wire lies in th...

Q: wo students were gven a task to connect a 2 uF capacitor and a O UF capacitor. 4. What type of conne...

A: First capacitor = 2 micro farad Second capacitor = 6 micro farad

Q: 1. A hockey puck having a mass of 0.9 kg slides on the horizontal, frictionless surface of an ice ri...

A: The mass of the the hockey puck: m = 0.9 kg; The forces: F1 = 7 N, F2 = 8 N, F3 = 3N, F4 = 4 N;

Q: The length and breadth of a rectangular sheet are 16.2 cm and 10.1 cm, respectively. The area of the...

A: Here, we need to find area and error in area. But , we can't directly calculate this as we need to ...

Q: Calculate the evaporation rate from an open water source, if the net radiation is 300 W/m? and the a...

A: Given Net Heat radiation ,Qnet=300 W/m2Air temperature ,T=30°CDensity of water at 30°C=996 kg/m3

Q: You drive a car around a flat circular track at a speed of 27 m/s without slipping. The radius of th...

A: Given Speed of car ,v = 27 m/s Radius of track ,R = 382 m Mass of car ,M = 1000 kg Concept used ...

Q: In Young's experiment, two slits are 0.2 mm apart. The interference fringes for light of wavelength ...

Q: The metal case of an appliance with ground wire comes in contact with a live wire. The circuit break...

A: The metal case of an appliance with ground wire comes in contact with a live wire. The circuit break...

Q: 2. Solve for the magnitude of the electric field of a point charge (straight line) given: 91 = +45µC...

Q: Three point charges are located as shown in the figure: • 41 =2x 10-12 q2 = 6x 10-12 [C] and d2 = 3 ...

A: Given value--- q1 = 2 × 10-12 C. d1 = 3 cm. We have to find--- The direction of electric field ve...

Q: Calculate the rotational inertia of a meter stick, with mass 0.386 kg, about an axis perpendicular t...

A: Write the given values with the suitable variables. m=0.386 kgy=34.1 cm Here, m is the mass and y is...

Q: i webassign.net/web/Student/Assignment-Responses/submit?dep=28919387Btags=autosavetquestion21532 Con...

Q: A metal blade spins at a constant rate of 5.0 revolutions per second about a pivot through one end o...

A: Given data: The number of revolution in 1 second is n=5 rev. The magnetic field is B=30 μT. The len...

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

Q: A 200g bullet which has velocity 200 m/s sticks to the stationary block of 5 kg mass. They move toge...

Q: Given this equation a= 4-6t. Find the velocity equation at v=2m/s and t=1s

A: Write the given values with the suitable variables. a=4-6tv=2 m/st=1 s Here, a, v, and t are the acc...

Q: A 5.00 kg object is suspended vertically by a spring that is attached to a ceiling at the other end....

Q: An electron with angular momentum {= 1 exists in the state X = A 2 Where A is the normalization cons...

A: Given, an electron with angular momentum, l = 1 state, Χ = A1-i20

Q: Find the center of mass of a four object system with the following coordinates. Object A 5kg(3m, 4m)...

A: (A) Here, mass of object D is taken as 4 kg.

Q: 2. Three charged particles were placed in the three consecutive corners of a square. Calculate the r...

Q: A cicular segment of radius 10 cm, subtends an angle of 60° at the centre. A current of 9 Ampere is ...

Q: Please refer to the following instructions In Exercise 12.4 of your book, University Physics 15th ...

A: Note: Final answer in proper SI unit and without scientific notation is mentioned in last step.

Q: A 5.0 kg mass is initially at rest on a horizontal frictionless surface when a horizontal force alon...

A: (a) Write the expression of force. F=6x2-2x3

Q: A heat engine with 0.221 mol of a monatomic gas undergoes the cyclic procedure shown in the pV diagr...

Q: Two point charges Q1=+4.50 uC and Q2=+8.00 uC are fixed 5 cm apart as shown. A) sketch the E-field d...

Q: PROBLEM SOLVING give the ff: - given - formula - solution A hollow conducting sphere of radius 0.12 ...

A: Given Electric filed ,E= -10N/C Distance r= 0.20 m As 0.20> 0.12 ,point is outside the sphere

Q: 12.4 (a) What is the average density of the sun? (b) What is the av- erage density of a neutron star...

A: Given, Mass of sun=1.99×10^30kg Radius=6.96×10^8m

Q: Air within the funnel of a large tornado may have a pressure of only 0.29 atm. What is the approxima...

A: Calculate the absolute pressure on wall. P=0.29 atm=0.291.013×105 Pa=29377 Pa

Q: - 22.4 μC , Q-38.6 μC, and Q3 = 57.3 µC, are arranged as shown in the figure. The Three point charge...

A: Given, Q1 = 22.4 μCQ2 = -38.6 μCQ3 = 57.3 μCx = y = 50.1 cm = 0.501 m

Q: 19. In the network shown in Fig. 2(a).41(a), the ring has zero resistance. Find the resistance betwe...

Q: Look at the payload system below! The solid insulator sphere (radius a = 9 cm) is in the center of t...

Q: ( ) A point charge Q = -30 nC is located at m. We want to find the electric field at location A m....

Q: Q)prove the threshold energy relation My+m, K = K, =-Q- Mx X, x. min th

Q: A sracimg car haea uniforrm what distonce will if cover in cað has acce/estation of dom)s? 4.

A: Given data : Initial velocity = u Time = t ...

Q: :) A point charge Q = -30 nC is located at m. We want to find the electric field at location A m. ...

Q: An object is constructed of a material lighter than water. It weighs 50 N in air and a force of 10 N...

Q: A 200g bullet which has velocity 200 m/s sticks to the stationary block of 5 kg mass. They move toge...

Q: A certain toaster has a heating element made of Nichrome wire. When the toaster is first connected t...

Q: A circuit contains a 44.0-V battery and a single light bulb whose resistance is 253 Ω. A second, ide...

Q: 6 µF 6 pF 6 pF 4 µF 4 µF 6 µF 6 µF 6 pF 8 pF

Q: It is found that the resistance of a coil of wire increases from 40 ohms at 15 degrees Celsius to 50...

Q: The Agure shows the electric feld ines between hwo large parallel plates with charge densities o and...

A: Given data- The electric field lines between two large parallel plates with charge densities +σ and ...

Q: Please draw the proper electric field lines for the following charges.

Q: Use the information below to answer parts a–g. A ball is attached to a string and swung in a horizon...

Question

. The electric field associated with an electromagnetic wave
in vacuum is given by E = i 40 cos (kz - 6 x 10°t), where
E, z and t are in V/m, metre and second, respectively. The
value of wave vector k is
(a) 2 m-1
(c) 6 m-1
(b) 0.5 m-
(d) 3 m-1

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1 Image_1

VIEW

Step 2 Image_2

VIEW

Step by step

Solved in 2 steps with 2 images

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.

Similar questions

The electric part of an electromagnetic wave is given by E(x, t) = 0.75 sin (0.30x t) V/m in SI units. a. What are the amplitudes Emax and Bmax? b. What are the angular wave number and the wavelength? c. What is the propagation velocity? d. What are the angular frequency, frequency, and period?
What is the average magnitude of the Poynting vector 5.00 mi from a radio transmitter broadcasting isotropically (equally in all directions) with an average power of 250 kW?
If the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?
An electromagnetic plane wave is propagating with an intensity I =1.0×10° Wm² in a medium with = 3 e, and µ= Ho. The amplitude of the electric field inside the medium is x10' Vm (up to one decimal place). (e,= 8.85x10-12C?N¯'m², µ, = 47x10 NA,c= 3x10° ms)
The magnetic field B(z,t)of an electromagnetic wave is given by B(z,t) = [(9.15 x 10-9T) jsin(3.25 × 104rad/m)z + wt]. O What is the wave number of the wave? (ii) What is the frequency of the wave? (iii) Write the vector equation for electric field. O a. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 x 1012HZ (iii) Ē = +(2.75V/m)sin((3.25 x 10°rad\m)z+ (9.74 x 1012 )t)k O b. (i) k = 3.25 x 10°rad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = -(2.75V/m)sin((3.25 × 10°rad\m)z + (9.74 x 1012 )t)3 O . (i) k = 3.25 x 10ʻrad/m (ii)f =1.55 x 10"Hz (ii) E = +(2.75V/m)sin((3.25 x 10ʻrad\m)z+ (9.74 x 1012 )t)k O d. (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 10" Hz (iii) Ē = –(2.75V/m)sin((3.25 x 10ʻrad\m)r+ (9.74 x 10)t)j O e. (i) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 101ºHZ (iii) Ē = +(2.75V/m)sin((3.25 x 10ʻrad\m)z + (9.74 x 102)t)k
Electric field in a plane electromagnetic wave is given by E = 50 sin(500x - 10 x 10¹t) V/m The velocity of electromagnetic wave in this medium is : (Given C = speed of light in vacuum) (2) C (1) C c (3) C (4) (4) U/N
The magnetic field B(x, t)of an electromagnetic wave is given by B(x, t) = [(9.15 × 10 9T)jsin(3.25 × 10ʻrad/m)æ + wt]. (i) What is the wave number of the wave? (i) What is the frequency of the wave? (ii) Write the vector equation for electric field. O a. (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 10"Hz (iii) E = - (2.75V/m)sin((3.25 × 10ʻrad\m)æ + (9.74 x 102)t)} O b. (1) k = 3.25 x 10ʻrad/m (ii)f = 1.55 x 10"Hz (iii) Ē = +(2.75V/m)sin((3.25 x 10ʻrad\m)æ + (9.74 × 1012 )t)k O . (i) k = 3.25 × 10ʻrad/m (ii)f = 1.55 x 101²HZ (iii) Ē = +(2.75V/m)sin((3.25 × 10ʻrad\m)æ + (9.74 × 1012 )t)k O d. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 × 101²HZ (iii) E = +(2.75V/m)sin((3.25 x 10°rad\m)x + (9.74 × 1012)t)k O e. (i) k = 3.25 × 10°rad/m (ii)f = 1.55 × 101²Hz (iii) Ē = -(2.75V/m)sin((3.25 x 10°rad\m)x + (9.74 × 1012)t)j %3D
The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function:E= (5.00 V/m) cos [kx - (6.00x10^9 s^-1)t + 0.40] j where k is the wavenumber in rad/m, x is in m, t is in s.Find the following quantities:(a) amplitude(b) frequency(c) wavelength
The electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E → = (5.00 V/m) cos⎡ ⎣ kx −⎛ ⎝6.00 × 109s−1⎞⎠t + 0.40⎤⎦j^where k is the wavenumber in rad/m, x is in m, t is ins.Find the following quantities:(a) amplitude(b) frequency(c) wavelength(d) the direction of the travel of the wave(e) the associated magnetic field wave
An electromagnetic wave is traveling in a vacuum. At a particular instant for this wave, E = [(38.0)î + (−76.0)ĵ + (95.0)k] N/C, and B = [(0.080)i + (0.290)ĵ + (0.200)^] µT. (a) Calculate the following quantities. (Give your answers, in µT N/C, to at least three decimal places.) ExBx E. B y EB₂ ExBx+E By + EB₂ = S = HT HT . . N/C . N/C HT N/C μT. N/C Are the two fields mutually perpendicular? How do you know? No, because their dot product is equal to zero. Yes, because their dot product is equal to zero. Yes, because their dot product is not equal to zero. No, because their dot product is not equal to zero. (b) Determine the component representation of the Poynting vector (in W/m²) for these fields. W/m²
The electric field of an electromagnetic wave travelling on a vacuum space is given by: Ex = 0, Ey = cos (2π × 10³ [t − Z]), E₂ = 0 where the amplitude is in V/m, t in second, x in meter and c= 300 000 000 m/s is the speed of light in vacuum. The vacuum permittivity is 8.85 × 10-¹² C²/m²N What is the wavelength (in meter)?. ....m. The average energy flux is n × 10-4 watt/m² What is the value of n? The amplitude of the magnetic field H is z × 10-4 A/m. What is the value of z?
Problem 6: The intensity of an electromagnetic wave is I= 460 W/m2. Part (a) Find the average energy density per unit volume, Ume: in terms of I and the speed of light c. / Correct! Part (b) Solve for the numerical value of Une in J/m2. Vag = 1.53 * 10-6 Uavg- 1.53E-6 v Correct! Part (c) Find an equation for the square of the maximum magnitude of the magnetic field of the wave in terms of Uve and the permeability of free space 4o- Bma = 2 ( 40 ) (U,vz) / Correct! Part (d) Solve for the numerical value of Bmer in tesla. Bmax = 3.85 * 10- 12