4. A beam of plane electromagnetic waves of wavelength, 4 cm, and traveling in free space has an electric field (also referred to as the optical field) described by the following equation at the surface of a radiation sensor. This electric field oscillates along the y axis. E, = 450 sin[kz-ot] V/m, where z is in m and t in s; E =0 and E 0. This beam falls perpendicularly on the sensor surface area 0.045 m2, which absorbs only 60% of the incident radiation. (a) Write a complete equation of the associated magnetic field associated with this EM wave at any time t, including numerical values of its amplitude of the magnetic field wave, its axis of vibration, and the wave radian frequency, o. (b) Find the time-averaged intensity of this electromagnetic wave. (c) What is the radiation pressure exerted by this incident wave on the surface of the sensor? (d) How much total energy does the sensor absorb in one minute? [(a) directed along negative X-axis and B (-1.5 x 10-6 T) sin[50nz - (1.5m x 1010)t]; (b) 270 W/m3; (c) 1.25 x 10 N/m2; (d) 436 J

4. A beam of plane electromagnetic waves of wavelength, 4 cm, and traveling in free space has an electric field (also referred to as the optical field) described by the following equation at the surface of a radiation sensor. This electric field oscillates along the y axis. E, = 450 sin[kz-ot] V/m, where z is in m and t in s; E =0 and E 0. This beam falls perpendicularly on the sensor surface area 0.045 m2, which absorbs only 60% of the incident radiation. (a) Write a complete equation of the associated magnetic field associated with this EM wave at any time t, including numerical values of its amplitude of the magnetic field wave, its axis of vibration, and the wave radian frequency, o. (b) Find the time-averaged intensity of this electromagnetic wave. (c) What is the radiation pressure exerted by this incident wave on the surface of the sensor? (d) How much total energy does the sensor absorb in one minute? [(a) directed along negative X-axis and B (-1.5 x 10-6 T) sin[50nz - (1.5m x 1010)t]; (b) 270 W/m3; (c) 1.25 x 10 N/m2; (d) 436 J