Consider a plane electromagnetic wave travelling in free space. The magnetic field is given by - Â = B₁ (â − 2) and electric field is given by È = E₁ (− x + 2ỹ − 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 these
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- A 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 = >The electric field Ē is given by Ē(y, t) = -(2.20 × 10° V/m)ksin[ky – (14.25 x 10²rad/s)t]. (i) What is the wavelength of the wave? (ii) What is the amplitude of the magnetic field of this wave? (iii) Write the vector equation for electric field? O a. (i) A = 13.09 × 10 °m (ii) 0.73 × 10 -³ T (iii) B = –(0.73 × 10 ³T)jsin[(4.75 × 10ʻrad/m)y – (14.25 × 10" rad/s)t] O b. (i) A = 13.09 × 10 5m (ii) 0.73 × 10 3 T (ii) B = –(0.73 × 10 ³T)isin[(4.75 × 10ʻrad/m)y + (14.25 x 10" rad/s)t] O c. (i) A = 13.09 × 10-5m (ii) 0.73 ×x 10 ³ T (iii) B = –(0.73 × 10 ³T)isin[(4.75 × 10ʻrad/m)y + (14.25 × 10²rad/s)t] С. O d. (i) A = 13.09 × 10-5m (ii) 0.73 × 10 -3 T (iii) B = –(0.73 × 10 ³T)êsin[(4.75 × 10ʻrad/m)y – (14.25 × 1012 rad/s)t] Ое.(i) А — 13.09 х 10 5т (i) 0.73 x 10 3 T (i) В: -(0.73 × 10-³T)åsin[(4.75 × 10ªrad/m)y - (14.25 x 102 rad/s)t]field in α X [(4.0× 10¹5 S-¹) (1 - 1)] The magnetic electromagnetic wave is given by, B = (200 µT) sin(4.0× 10¹5 s-¹) (t plane Find the average energy density corresponding to the electric field.
- 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 VThe electric field of a harmonic plane electromagnetic wave propagating in vacuum is given by (0 , 0 , 4)cos(3x-ωt) V/m; hence the corresponding magnetic field is:
- A 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 DA certain guided wave travels through air with the following magnetic field H=10+ y cos(157x) sin[(67×10° rad/s)t - Bz] [A/m] (0.3) Find the associated and B. There are a couple ways to solve this problem. Note: this is NOT a plane wave, and be sure to understand why. Nevertheless it IS a valid solution of Maxwell's equations. You will see how guided waves like this come aboutA uniform transverse electromagnetic wave is propagating in the z-direction, and its magnetic field component is in the y- direction and given as By = Ho (x²+y+z2) cos(wt). The conduction current density is zero in the medium. What is the magnitude of the displacement current density in Amperes/m² at the point (x,y,z) = (1, 1, 1)? 0.17 O 0.39 0.24 O 0.31 O 0.42