The magnetic field in a plane electromagnetic wave is given by B = 12 x 10-8 sin (1.20 × 107z+ 3.60 x 10¹5 t). Calculate the : y (i) Energy density associated with the Electromagnetic waves
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- An electromagnetic wave has a peak magnetic field component of magnitude 1.5 x 10^-7 T and peak electric field component of 45 N/C. What is the value of the wave intensit? [40 = 4mx10-7 T.m/A] O 2.69 W/m 2 O 8.67 W/m^2 O 10.9 W/m 2 4.47 W/m 2Radiation from the sun reaching the earth has an intensity of 1.4 kW/m^2. a) What is the total power radiated by the sun? (The sun is 1.5 x 10^11 m from earth.) b) Assuming all the incident energy is absorbed, what is the force on the earth due to radiation pressure?Electromagnetic radiation from a 5.50 mW laser is concentrated on a 2.50 mm2 area. (a) What is the intensity in W/m2? W/m2 (b) Suppose a 6.00 nC static charge is in the beam. What is the maximum electric force (in N) it experiences? (Enter the magnitude.) N (c) If the static charge moves at 300 m/s, what maximum magnetic force (in N) can it feel? (Enter the magnitude.) N
- Suppose the magnetic field of an electromagnetic wave is given by B = : (1.3 × 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/m³Hence show that the wave equation for the magnetic field is V²H+k²H=0 where k = ₁√√μ₁&Suppose 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/m³
- 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)iA plane electromagnetic wave is traveling in a vacuum. The magnetic field is directed along the z-axis and given by: B, = 3.0µT sin ((1.0 × 107 )x - (3.0 × 1015 )t ) a) Determine the wavelength , of the wave. b) What is the frequency, f, of the wave in Hertz? c) Determine the maximum strength of the B-field. d) Determine the maximum strength of the E-field and it direction. e) Can you find a time and place when the B-field is zero? f) What is the strength of the E-field when the B-filed is zero?