The electric field of an electromagnetic wave traveling in the vacuum of space is described by E = (6.50 × 10) sin(kx – wt) 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

The electric field of an electromagnetic wave traveling in the vacuum of space is described by E = (6.50 × 10) sin(kx – wt) 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

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 47PQ

See similar textbooks

Related questions

Q: A 0.530 kg ball is attached vertically to a spring with a spring constant of 16.0 N/m. The ball is…

Q: 3. A copy machine uses a lens to make an image of a page in the physics textbook to print a copy.…

A: (a). → Using lens formula ⇒ 1f = 1v - 1u → The distance of object is taken as negative and the…

Q: A solenoid has a length of 25 cm, a radius of 1 cm, 400 turns, and carries a 3 A-current. a) Find…

A: The length of the solenoid, l=25 cm The radius of the solenoid, r=1 cm The number of turns in the…

Q: 17. An object is 2 cm from a lens that has a focal length of f = 3 cm. How far away is the image…

Q: An underwater scuba diver sees the Sun at an apparent angle of 44.5° above the horizontal. What is…

Q: A diver with a weight of 833 N dives from a boat with a mass of 375kg. If he leaves the boat with a…

Q: What is the formula for calculating pressure in a fluid?

A: To write the formula for calculating pressure in a fluid.

Q: A helium-filled balloon is tied to a 1.1 m long, 0.061 kg string. When deflated, the balloon has a…

Q: It is desired to use a magnetic field of 2.00 × 10-4 teslas to produce a total magnetic flux of 6.28…

Q: How much time t does it take a radio signal to travel the 2.72 × 10¹2 m average distance from the…

A: Distance is d=2.72×1012 m Find: Time taken by radio signal to cover this distance.

Q: Which has the higher entropy, a deck of cards in which the cards are organized by suit or a shuffled…

A: Solution: Given: Which has higher entropy? A deck of cards in which cards are organized by suit or a…

Q: AM radio signals have frequencies between 550 kHz and 1600 kHz (kilohertz) and travel with a speed…

A: Frequencies of AM radio signals as f1=550 kHz and f2=1600 kHz Speed of wave signals is v=3×108 m/s…

Q: Please see attached figure , looking for a and b from the question below. Two (2) charges…

A: a) To determine the potential at point P, we can use the formula: V = kq/r where k is the Coulomb…

Q: From the perspective of the first law of thermodynamics, is it possible for a heat engine to have an…

A: No, it is not possible for a heat engine to have an efficiency greater than 1 according to the first…

Q: A convex lens has a focal length of 4 cm. A candle with a height of 8 cm is 10 cm away from the…

Q: A concave mirror has a focal length of 17 cm. A candle with a height of 7 cm is 9 cm away from the…

Q: A pulley of moment of inertia 2.0kg−m^2 is mounted on a wall as shown in the following figure. Light…

Q: Two parallel plates are separated by 3 cm. They are connected to a 1200 V power supply. A 20 nC…

Q: The only force acting on a 4.5 kg body as it moves along the positive x axis has an x component…

A: The change in the velocity of a body moving under the action of changing acceleration is…

Q: Examining your image in a convex mirror whose radius of curvature is 29.0 cm, you stand with the tip…

A: The radius of curvature of the convex mirror, R=29 cm The distance of the object(nose ) from the…

Q: A wheel of radius R = 0.1m whose center is fixed on an axle has a string of length = 15m wrapped…

A: Radius of wheel: R = 0.1 m String length: l = 15 m Initial angular velocity: ωo = 0 Time: t = 1 s

Q: Consider the circuit shown in the figure. (Assume that C₁ = 3 µF, C₂ = 6 µF, C3 = 5 µF, and C₁ = 4…

Q: The speed of sound in air is 331 m/s and the density of air is 1.29 kg/m³. A sound wave in air has…

A: The speed of sound in air is v=331 m/s. The density of air is ρ=1.29 kg/m3. The wavelength of wave…

Q: A small silver Christmas ball with a diameter of 6.25 cm was hanging on a Christmas tree. The…

A: Given: Focal length (f) = 6.25/4 = 1.56 cm Object distance (u) = 40 cm Object height (h) = 1.5 m…

Q: A ball of mass 10.6 g with a speed of 24.0 m/s strikes a wall at an angle 25.0o and then rebounds…

Q: At a frequency w₁ the reactance of a certain capacitor equals that of a certain inductor. ▾ Part A ▾…

Q: A 0.880 m long brass pendulum experiences a 18.0°C temperature increase. (a) Calculate the…

A: Length of pendulum is L=0.880 m Increases in temperature is T=18°C Note: Coefficient of linear…

Q: A circular loop of wire sits face on to a 2-tesla magnetic field that points into the page, as shown…

A: Solution: Given: B = magnetic field = 2 T r = radius of loop = 20 cm = 0.20 m dt = duration of time…

Q: A 0.160 kg billiard ball that is moving at 2.40 m/s strikes the bumper of a pool table and bounces…

A: Given Mass m = 0.160 kg Initial speed u = 2.40 m/s Final speed v = -1.92m/s Duration t = 0.0130 s

Q: Part A What is the conductance of a 1.0-mm-diameter, 10-cm-long blood vessel filled with blood?…

A: The diameter of the conductor is 1.00 mm. The length of the blood vessel is 10 cm. The potential…

Q: Find the requested quantities of a photon involved in the following hydrogen electron transitions.…

A: For transition in H-atom from one state ni to other state nf , 1λ=1.097×107×[1ni2-1nf2] m (a) For…

Q: 3) Two masses MA 2.0 kg and mB 5.0 kg are on inclines and are connected together by a string as…

Q: A cylindrical silicon rod is 1.0 cm long and has a cross-sectional radius of 2.0 mm. What is the…

A: The length of the silicon rod is 1.0 cm. The cross-sectional radius of the rod is 2.0 mm. The…

Q: A 250 resistor is connected in series with a 4.80 F capacitor and an ac source. The voltage across…

A: (a) The capacitive reactance, Xc, is given by: Xc = 1 / (2πfC) where f is the frequency of the AC…

Q: 2. A firetruck drives in a straight line with velocity shown on the graph below. v(t) vel. [m/s] 9…

A: See below

Q: please answer this question within 30 minutes. i will upvote. Spherical particles of radius 4.50…

A: The centrifugal force acting on a spherical particle of radius r and density ρ, spinning in a…

Q: At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by E=…

A: The Poynting vector of electromagnetic wave is given by S→=1μ(E→×B→) where μ is the…

Q: Q21 Is is ever possible to move heat from a cooler to a warmer temperature? Explain.

A: Given: is ever possible to move heat from a cooler to a warmer temperature? Explain.

Q: 2. A 12V battery makes 1.5A of current through a 40, 30, and a 102 resistor. a. How much power does…

A: The power supply through the battery is given by P=VI=I2R where V is the voltage of the…

Q: A convex mirror has a focal length of -6 cm. A candle with a height of 5 cm is 21 cm away from the…

Q: A ballistic pendulum, as shown in the figure, was a device used in the past century to measure the…

A: In a ballistic pendulum, the momentum of the bullet is conserved before and after the impact. We can…

Q: A 273 g mass causes a 0.29 m change in length when hanging from a particular spring. Find the…

A: Given : Mass m=273 g=273×10-3 kg, Change in length of spring ∆x=0.29 m. Required: The spring…

Q: A square loop of wire connects the ends of a 10-ohm resistor, as shown. The loop sits perpendicular…

A: Resistance of the resistor is R=10 Ω Magnetic field strength is B=0.6 T. Time t=3 s. Length of the…

Q: Imagine a physics lecture hall with 83 students who are settling in for a 1-hour lecture. At the…

A: Given:Number of students: N=83Total time of lecture: t=1 hour=3600 sInitial temperature of the room:…

Q: (a) Calculate the force (in N) the woman in the figure below exerts to do a push-up at constant…

A: Mass of girl: mg = 47 kg Distance between feet and force of reaction (F): df = 1.46 m Distance…

Q: That is not the correct answer, can you re work it?

A: We have Current, I=1.25A To find The magnetic field at a distance of 13.0cm=?

Q: Current Attempt in Progress Two disks are mounted (like a merry-go-round) on low-friction bearings…

Q: Problem 4: Using the graph of a sin waves below estimate the phase difference A between the waves.…

A: The phase difference, ∆ϕ, can be found using the following relation. ∆tT=∆ϕ2π Where T is the period…

Q: Two parallel plates are separated by 3 cm. They are connected to a 1200 V power supply. A 20 nC…

Q: A force of 450 N is used to push a 145 kg mass 30 m horizontally in 3 seconds. Calculate the work…

A: Write the expression for the work done and substitute the corresponding values to calculate the work…

Question

100%

The electric field of an electromagnetic wave traveling in the vacuum of space is described by E = (6.50 × 10-³) sin(kx - wt) V/m.
(a) What is the maximum value of the associated magnetic field for this electromagnetic wave?
(b) What is the average energy density of the wave?
J/m³

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: Given:-

VIEW

Step 2: Calculation:-

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 1 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

Suppose the magnetic field of an electromagnetic wave is given by B = (1.5 1010) sin (kx t) T. a. What is the maximum energy density of the magnetic field of this wave? b. What is maximum energy density of the electric field?
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?
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 wave
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 intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?
A plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude of 6.0 V/m and points eastward. What are the magnitude and direction of the magnetic field at this instant?
The magnetic field of a plane electromagnetic wave moving along the z axis is given by B =B0(coskz+t) j , where B0=5.001010 and k=3.10102m-1 . (a) Write an expression for the electric field associated with the wave. (b) What are the frequency and the wavelength of the wave? (C) What is its average Poynting vector?
A 150-W lightbulb emits 5% of its energy as electromagnetic radiation. What is the magnitude of the average Poynting vector 10 m from the bulb?
What is the maximum electric field strength in an electromagnetic wave that has a maximum magnetic field strength of 5.00104 (about 10 times Earth's magnetic field)?
During normal beating, the heart creates a maximum 4.00-mV potential across 0.300 m of a person’s chest, creating a 1.00-Hz electromagnetic wave. (a) What is the maximum electric field strength created? (b) What is the corresponding maximum magnetic field strength in the electromagnetic wave? (C) What is the wavelength of the electromagnetic wave?
A radio transmitter broadcasts plane electromagnetic waves whose maximum electric field at a particular location is 1.55103V/m . What is the maximum magnitude of the oscillating magnetic field at that location? How does it compare with Earth’s magnetic field?
The electric field of an electromagnetic wave is given by E=(6.0103V/m)sin[2(x18mt6.0 10 8s)] j Write the equations for the associated magnetic field and Poynting vector.