College Physics
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An industrial laser is used to burn a hole through a piece of metal. The average intensity of the light is S= 2.17 × 109 W/m2. What is the rms value of (a) the electric field and (b) the magnetic field in the
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- The magnetic component of an electromagnetic wave in vacuum has an amplitude of 95.0 nT and an angular wave number of 2.49 m-1. What are (a) the frequency of the wave, (b) the rms value of the electric component, and (c) the intensity of the light?arrow_forwardA plane electromagnetic wave, with wavelength 5 m, travels in vacuum in the positive direction of an x-axis. The electric field, of amplitude 450 V/m, oscillates parallel to the y-axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate?arrow_forwardFor a certain electromagnetic wave in free space, at one instant the electric field vector points in the +z direction while the magnetic field vector points in the +x direction, as shown in the figure. In what direction is this wave traveling? B E +y +z +x -X -yarrow_forward
- A stationary particle of charge q = 2.0 × 10-8 C is placed in a laser beam (an electromagnetic wave) whose intensity is 3.0 × 103 W/m2. Determine the maximum magnitude of the (a) electric and (b) magnetic forces exerted on the charge. If the charge is moving at a speed of 3.7 × 104 m/s perpendicular to the magnetic field of the electromagnetic wave, find the maximum magnitudes of the (c) electric and (d) magnetic forces exerted on the particle.arrow_forwardA stationary particle of charge q = 2.0 × 108 C is placed in a laser beam (an electromagnetic wave) whose intensity is 2.4 x 10³ W/m². Determine the maximum magnitude of the (a) electric and (b) magnetic forces exerted on the charge. If the charge is moving at a speed of 3.7 x 104 m/s perpendicular to the magnetic field of the electromagnetic wave, find the maximum magnitudes of the (c) electric and (d) magnetic forces exerted on the particle. (a) F = i (b) F= i (c) F= i (d) F = i V Varrow_forwardAn industrial laser is used to burn a hole through a piece of metal. The average intensity of the light is 5 = 1.95 x 10⁹ W/m². What is the rms value of (a) the electric field and (b) the magnetic field in the electromagnetic wave emitted by the laser? (a) Number (b) Number i 2.23E6 i 4.06 Units nm + Units T +arrow_forward
- A plane electromagnetic wave, with wavelength 2.9 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 420 V/m, oscillates parallel to the y axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow associated with this wave? The wave uniformly illuminates a surface of area 2.8 m2. If the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e)arrow_forwardSuppose you have an electric field as a result of superposition of two waves given by Ē(z, t) = Eo cos(kz - wt) + Eo cos(kz + wt)â. a. Simplify Ē(z, t) as one term and find its associated magnetic field b. Find the instantaneous and time-averaged energy density.arrow_forwardSuppose the magnetic field of an electromagnetic wave is given by B = (2.7 x 10-10) sin(kx - wt) T. (a) What is the average energy density of the magnetic field of this wave? J/m³ (b) What is the average energy density of the electric field? J/m³arrow_forward
- The magnetic field component of a plane electromagnetic wave obeys the following expression. Determine the direction of the electric field component of the wave at t=0, y=0. negative y Onegative x O negative z Opositive z the xy plane Opositive x positive y B = Bo cos(ky+wt)iarrow_forwardA sinusoidal electromagnetic wave is propagating in vacuum in the +y direction. If the magnetic field is in the -z direction and has a magnitude of 2.50 nT at some instant in time and at a certain location in space, what is the magnitude and direction of the electric field at this same instant in time and location in space? O A. 0.750 V/m, in the +x direction O B. 0.750 V/m, in the -x direction O C. 750 V/m, in the +x direction O D. 0.750 V/m, in the -x directionarrow_forwardThe average intensity of sunlight reaching the earth is 1390 W/m2. A charge of 2.8 x 106 C is placed in the path of this electromagnetic wave. (a) What is the magnitude of the maximum electric force that the charge experiences? (b) If the charge is moving at a speed of 3.2 x 104 m/s, what is the magnitude of the maximum magnetic force that the charge could experience? (a) Number i Units (b) Number i Units eTextbook and Mediaarrow_forward
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