An electromagnetic wave traveling in vacuum far away from its source has a magnetic field B(z, t) = - (8.25 x 10-9 T) j sin[(1.38 x 104 rad/m) z + w t)]. (a) Determine the frequency and wavelength of the wave. (b) Find the electric field (vector) as a function of position and time only. (c) The wave is aimed at a 10 cm x 10 cm square which absorbs the wave completely. How much energy is delivered to the square each hour?
Q: 1. An electromagnetic wave propagating in vacuum has the following magnetic field vector: B(z, t) =…
A:
Q: The magnetic component of an electromagnetic wave in vacuum has an amplitude of 85.8 nT and an…
A:
Q: The magnetic component of an electromagnetic wave in vacuum has an amplitude of 69.8 nT and an…
A: a) The expression for find angular frequency is ω=kc2π Substitute values in the above equation…
Q: 32.2.2 The electric field in a sinusoidal electromagnetic wave in vacuum is given by E→(y,…
A: Given, Equation of electric field,
Q: An electromagnetic wave traveling in vacuum far away from its source has a magnetic field B(z, t) =…
A: B(z,t) = -8.25 * 10-9j^ sin[{1.38*104}z + wt]a) 2π/wavelength = 13800 wavelength = 0.000455 m…
Q: An electromagnetic plane wave is propagating in the +x direction. At a certain point P and at a…
A: The ratio of the magnitude of electric field to the magnitude of magnetic field in any…
Q: The electric field of an electromagnetic wave propagating through a vacuum Is given by: E = 250 sin…
A:
Q: An electromagnetic wave from a wire antenna travels (from the reader) toward the plane of the paper.…
A:
Q: The rate of energy flow per unit area of a sinusoidal electromagnetic wave has an average value of…
A: Given data: S = 0.601 W/m2 Need to determine the maximum value of the magnetic field in the wave.
Q: An electromagnetic wave of wavelength 435nm is traveling in a vacuum in the -z-direction. The…
A: Given , Wavelength of EMW (λ) = 435 nm Magnitude of electric field (E)=2.70×10-3 V/m
Q: The magnitude of the electric field of an electromagnetic wave in a vacuum is |E,| = (20.0 )…
A: Electric field of electromagnetic wave is given as |Ey| = ( 20.0 V/ m) sin ( (6.30 * 108 )x - (1.90…
Q: A monochromatic light source emits electromagnetic radiation uniformly in all directions (isotropic…
A:
Q: If the magnetic field of a light wave oscillates parallel to a y axis and is given by By = Bm…
A: The equation of the magnetic field oscillating parallel to y-axis is a) From the above equation,…
Q: The magnetic field of an electromagnetic wave is given by B(x,t)=(0.80 μT)sin[(9.00π×106…
A:
Q: An electromagnetic wave in a vacuum has a magnetic field with a magnitude of 1.84 x 106 T. What is…
A: Given data B=1.84×10-6 T
Q: The magnetic field of a wave propagating through a certain nonmagnetic material in the positive y…
A: Amplitude (A) = 30 mAmFrequency (f) = 1082π Hz wavelength (λ) = 12.6 m
Q: An electromagnetic wave has an electric field with an rms value of 176.8 N/C. What is the intensity…
A:
Q: A sinusoidal electromagnetic wave is propagating in vacuum in the +z-direction. If at a particular…
A: The electromagnetic wave is propagating along +z direction. The direction of propagation of electric…
Q: An electromagnetic wave is traveling in a vacuum. At a particular instant for this wave, E =…
A: Explanation and solution shown in the picture below ?
Q: Consider an electromagnetic wave in which the electric field is E =EOj°cos(kx-wt) E→=E0j^cos(kx-wt),…
A:
Q: A plane electromagnetic wave has the magnetic field given by k B(x,y,z,t) = Bo sin a [(x + 1) = /25…
A: The oscillations are the basic cause of waves. The wave is only produced when we have something of…
Q: If the electric field and magnetic field of an electromagnetic wave are given by E = E0 sin(kx - ωt)…
A:
Q: n the electromagnetic wave,the direction of the propagation of the wave is______ A. Always to the…
A: to identify : The direction of propagation of the electromagnetic wave
Q: If the electric field in a plane electromagnetic wave is along the y axis and its component is given…
A: Since, Bmax = Emax/C electric field and magnetic field are always in same phase in an EM wave.
Q: The magnetic field of an electromagnetic wave is given by B = 4.4 ✕ 10−10 sin(kx − ?t) T. (a) If…
A: Given Wavelength of electromagnetic wave λ=337nm speed of electromagnetic wave c=3*108 m/s
Q: A certain electromagnetic wave has a peak electric field of 8.00 kV/m. What is the intensity of the…
A:
Q: What is the maximum electric field strength in an electromagnetic wave that has a maximum magnetic…
A: Given- Maximum magnetic field strength, Bo = 5.00 x 10-4 T and we know that, speed of…
Q: The figure shows three situations - A, B, and C - in which an observer and a source of…
A: Actual frequency: f = 4.75×1014 Hz Speed of observer: vo=v=1.80×106 m/s Speed of source:…
Q: Consider an electromagnetic wave travelling in a vacuum with an electric field given by E(y, t) = (3…
A:
Q: Consuder the plane electromagnetic wave given by the following expression(in SI units): Ex = 0 Ey…
A: The equation for electric field of this electromagnetic wave is given by; Ey=2cos2π×1014t-xc+π2…
Q: A plane electromagnetic wave traveling in a vacuum has a frequency of ( f= 101º Hz ) and the…
A:
Q: The magnetic field B(z, t)of an electromagnetic wave is given by B(z, t) = [(9.15 x 10-9T)jsin(3.25…
A:
Q: Suppose the magnetic field of an electromagnetic wave is given by B = (1.3 x 10-10) sin(kx - cot) T.…
A: Given B→=1.3×10-10sinkx-wt B0 = 1.3 ×10-10 We have a relationship between the amplitude of electric…
Q: A traveling electromagnetic wave in a vacuum has an electric field amplitude of 69.5 V/m. Calculate…
A: We know that intensity of electromagnetic wave is given by S=12cξ0E2....1 And amount of energy is…
Q: In a nonconducting medium with e = 9 e0 and µ = µo, the electric field intensity of an…
A: On comparing the given equation with the general wave equation, we get the value of angular…
Q: The electric field of a harmonic plane electromagnetic wave propagating in vacuum is given by (0 , 0…
A: given Wave is in vacuum Electric field is,E = (0,0,4)*cos(3x-wt) V/m Magnetic field,B =???
Q: t is the maximum value of the electric field in an electromagnetic wave whose average intensity is…
A: The intensity is given by I=cε0E2 where c= speed of light, ε0=permitivity, and E= electric field.
Q: An electromagnetic wave from a wire antenna travels (from the reader) toward the plane of the paper.…
A:
Q: Consider an electromagnetic wave travelling in a vacuum with an electric field given by E(y, t) = (3…
A: Solution: Electric field is given as:E→ = 3×106 m/s cos ky + 2.7×1015t i^ -1General expression of…
Q: In Sl units, the electric field in an electromagnetic wave is described by = 100 sin(1.00 × 107x –…
A: In this question we are given that in Sl units, the electric field in an electromagnetic wave is…
Step by step
Solved in 3 steps
- Objective: To describe the measureable characteristics of electromagnetic waves, and to use these characteristics to calculate various useful quantities of these waves. 1. a. The magnetic field of a certain electromagnetic field is given by: Bx = 0 By = (4.8 x 10-7) cos(k z - ( t) Tesla Bz = 0 In the diagram below draw the electric field and the magnetic field vectors at the origin and t = 0, and indicate the direction of wave travel. In addition, write down the mathematical expressions for the components of the electric field of this wave, including the components whose value is zero. Be careful about directions! +Z +y +X b. Calculate the components of the Poynting vector Š for this EM wave and its intensity I. Hint: according to the text, I = Saverage. Make sure the units of the Poynting vector components make sense!A sinusoidal electromagnetic wave having a magnetic field of amplitude 1.50 μT and a wavelength of 442 nm is traveling in the + direction through empty space. What is the frequency of this wave? Express your answer in hertz. f = 6.79x1014 Hz Submit Correct Part B Previous Answers What is the amplitude of the associated electric field? Express your answer in volts per meter. 15| ΑΣΦ E = 315 ? V/m ReviScientists studying an anomalous magnetic field find that it is inducing a circular electric field in a plane perpendicular to the magnetic field. The electric field strength 1.5 m from the center of the circle is 7 mV/m. Part A At what rate is the magnetic field changing? Express your answer in milliteslas per second. ΠΟΠ ΑΣΦ dB/dt = Submit Request Answer ]] ? mT/s
- The magnetic field of an electromagnetic wave in a vacuum is B₂ = (2.6μT) sin((1.15 x 107) - wt), where x is in m and t is in S. You may want to review (Pages 889 -892). For help with math skills, you may want to review: Rearrangement of Equations Involving Multiplication and Division ▼ Part A What is the wave's wavelength? Express your answer to three significant figures and include the appropriate units. λ = Submit Part B f = Submit Part C MÅ Eo = Value What is the wave's frequency? Express your answer to three significant figures and include the appropriate units. Submit Request Answer μÀ Value Request Answer Units PHμÅ Value Request Answer Units ASSO What is the wave's electric field amplitude? Express your answer to two significant figures and include the appropriate units. 49999 Units ? AWYV ?Current Attempt in Progress Your answer is partially correct. In the figure, a laser beam of power 6.61 W and diameter 2.60 mm is directed upward at one circular face (of diameter d < 2.60 mm) of a perfectly reflecting cylinder. The cylinder is levitated because the upward radiation force matches the downward gravitational force. If the cylinder's density is 1.50 g/cm³, what is its height H? H. Number i Units mm eTextbook and MediaIn order to get full credit, you need to show all your work. A conducting coil with 10 windings (R = 40 cm) and a straight wire are in the yz plane and carry current I = 3.0 A in the direction shown. Point P is a distance x = 60 cm from the center of the ring. A) Find the magnitude and direction of the magnetic field of each current source at point P. Z S I у B) What is the magnitude and direction of the magnetic force on an electron as it passes through point P with velocity 4x104m k? P X
- Please use neat handwriting and show work. Physics 2 An electromagnetic wave traveling in vacuum far away from its source has a magnetic field B(z, t) = -(8.25 x 10-9 T) j sin[(1.38 x 104 rad/m) z + w t)]. (a) Determine the frequency and wavelength of the wave. (b) Find the electric field (vector) as a function of position and time only.MY NOTES ASK YOUR TEACHER ANOTHER A pulsar is a type of rotating neutron star that emits a beam of electromagnetic radiation. Imagine a pulsar that is moving toware Earth at a speed of 856.500 km/s. It emits mostly radio waves with a wavelength (at the source) of 132.500 cm. What is the observed wavelength of this radiation on Earth? (Assume the Earth is stationary. Consider the speed of light c = 3.00000 x 108 m/s. Give your answer to at least six significant figures.) 4.0 cm Additional Materials O ReadingI Review | Constants Part A A beam of protons traveling at 1.40 km/s enters a uniform magnetic field, traveling perpendicular to the field. The beam exits the magnetic field, leaving the field in a direction perpendicular to its original direction (the figure (Figure 1)). The beam travels a distance of What is the magnitude of the magnetic field? Express your answer in teslas. 1.10 cm while in the field. ΑΣΦ xa X•10" Figure 1 of 1 B = T Submit Previous Answers Request Answer X Incorrect; Try Again; 8 attempts remaining Provide Feedback Next > В X X X X Pearson 圓 因 t
- A standing-wave pattern is set up by radio waves between two metal sheets 2.80 m apart, which is the shortest distance between the plates that produces a standing wave pattern. What is the frequency of the radio waves? 107 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. MHzRevie Part A A sun-like star is barely visible to naked-eye observers on earth when it is a distance of 16 7.0 light years, or 6.6 x 104º m, away. The sun emits a power of 3.8 x 10 W. 26 Using this information, at what distance would a candle that emits a power of 0.38 W just be visible? Express your answer with the appropriate units. HA Ad = Value Units %3D Submit Request AnswerCriterion A: Knowing and understanding i. state scientific knowledge. (Max. 2 points) A wire loop is moved from outside the magnetic field until it is fully inside the magnetic field. The initial magnetic flux is 0 Wb, and the change in magnetic flux is 2.5 Wb. The magnetic field has a strength of 0.031 T. Calculate the area of the wire loop. The following equations may be useful: AP = D = BLA Round your answer to 3 significant figures. BA 2.5 Wb A 0.031 T A = m² || ||