The electric field of a sinusoidal electromagnetic wave obeys the equation E = (375 V/m) cos [(1.99 x 107 rad/m)x + (5.97 x 1015 rad/s)t]. (a) What is the speed of the wave? (b) What are the amplitudes of the electric and magnetic fields of this wave? (c) What are the frequency, wavelength, and period of the wave? Is this light visible to humans?
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The electric field of a sinusoidal
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- The magnetic field for an EM wave is given by the following equation: Bz= (−8μT) cos((9.67×107m−1)z−(ω rad/s)t) Find: (a) The frequency and wavelength of the wave b) The direction of travel (c) The direction of the E field (d) The amplitude of the E field (e) Write an equation for the E filed for this waveA plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has components Ex = Ey = 0 and E₂ = (4.7 V/m) cos[(x 1015 s-¹)(t-x/c)]. (a) What is the amplitude of the magnetic field component? (b) Parallel to which axis does the magnetic field oscillate? (c) When the electric field component is in the positive direction of the z axis at a certain point P, what is the direction of the magnetic field component there? Assume that the speed of light is 2.998*108 m/s. (a) Number i UnitsConsuder the plane electromagnetic wave given by the following expression(in SI units): Ex = 0 Ey = ( 2 cos(2pie*10^14(t-x/c)+pie/2) Ez =0 what are the frequency,wavelength,direction of motion,amplitude and polarization of the wave? write an expression for the corresponding B(x,y,z,t).
- At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by É = -3.81 × 103k V/m and B = -1.27 x 10¬1'i T. Find the Poynting vector for this wave. (Express your answer in vector form.) S = W/m?Consider a plane electromagnetic wave travelling in free space. The magnetic field is given by B = B₁ (x − 2) and electric field is given by E = E₁ (− x + 2 y − 2) . Then the direction of the propaga- tion of the wave is (a) -x-y-2 (b) x + 2y - 22 (c) 2x + y + 22 (d) None of theseA stationary particle of charge q = 2.9 × 10-8 C is placed in a laser beam (an electromagnetic wave) whose intensity is 2.2 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 = >
- PS: Please make sure you put the answer in the correct unit. In SI units, the electric field in an electromagnetic wave is described by Ey = 114 sin(1.20 107x − ?t).The electric field of an electromagnetic plane wave traveling in a vaccum is described by E(x,y,z,t) = 200 (V/m)ex*ei(ky-ωt) with k = 1.0 * 107/m and ω = 3 * 1015 rad/s Find the vector expression that describes the corresponding magnetic field of this wave.A certain electromagnetic field traveling in vacuum has a maximum electric field of 2000 V/m. What is the maximum magnetic field of this wave?
- 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.A 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 VA stationary particle of charge q = 2.4 × 10-8 C is placed in a laser beam (an electromagnetic wave) whose intensity is 2.5 × 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. PLEASE do A, B, C, and D