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describe and comment on the intensity distribution of the
beam exiting the fiber relative to the TEM00 beam from the laser source.
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- A small helium-neon laser has a power output of 2.5 mW What is the electromagnetic energy in a 1.0-m length of the beam?On its highest power setting, a microwave oven increases the temperature of 0.400 kg of spaghetti by 45.0°C in 120 s. (a) What was the rate of energy absorption by the spaghetti, given that its specific heat is 3.76103J/kg.C ? Assume the spaghetti is perfectly absorbing. (b) Find the average intensity of the microwaves, given that they are absorbed over a circular area 20.0 cm in diameter. (C) What is the peak electric field strength of the microwave? (d) What is its peak magnetic field strength?A 150-W lightbulb emits 5% of its energy as electromagnetic radiation. What is the magnitude of the average Poynting vector 10 m from the bulb?
- If the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.The E→ field in an EM wave in free space has a peak of 24.5 mV/m . What is the average rate at which this wave carries energy across unit area per unit time?
- A laser has a power of 22.0 W and a beam radius of 0.5 mm(a) Find the intensity of the laser.(b) Suppose you were floating in space and pointed the laser away from you. What would your acceleration be? Assume your total mass is 72.0 kg and the force is directed through your center of mass.A 0.50-mW laser produces a beam of light with a diameter of1.5 mm. (a) What is the average intensity of this beam?Consider a plane electromagnetic wave that propagates in a given Ge crystal by the expressions- Consider a plane electromagnetic wave that propagates in a given Ge crystal by the expressions below (image). (a) What is the amplitude, frequency, wavelength, propagation direction, thepolarization and initial phase of the wave?(b) Plot the propagation of this EM wave on the x-y-z axes.(c) What is the refractive index of Ge?(d) Determine the photon energy corresponding to this EM wave.
- A0.5 MHz antenna carried by an airplane flying over the ocean surface generates a wave that approaches the water surface in the forme a normally incident plane wave with an electric-field amplitude of 5500 V/m. Seawater is characterized by a dielectric constant of 72, relative permeabity of 1 and conductivity of 4 Slm. The plane is trying to communicate a message to a submarine submerged at a depth d below the water surface. If the submarine's receiver requires a minimum signal ampitude of 0.03 u Vim), what is the maximum depth d to which successful communication is still possible? AnswerThe beam from a small laboratory laser typically has an intensity of about 1.0 × 10−3 W/m2 . Assuming that the beam is composed of plane waves, calculate the amplitudes of the electric and magnetic fields in the beam.A 15.8-mW laser puts out a narrow beam 2.40 mm indiameter. What are the rms values of E and B in the beam?