Exam 31: Electromagnetic Fields and Waves

A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the power output of the oven? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A, ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

28)A sinusoidal electromagnetic wave is propagating in vacuum.At a given point P and at a particular time,the electric field is in the +x direction and the magnetic field is in the -y direction. (a)What is the direction of propagation of the wave? (b)If the intensity of the wave at point P is what is the electric field amplitude at that point? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A planar electromagnetic wave is propagating in the +x direction.At a certain point P and at a given instant,the electric field of the wave is given by = (0.082 V/m) .What is the magnetic vector of the wave at the point P at that instant? (c = 3.0 × 10⁸ m/s)

The y-component of the electric field of an electromagnetic wave traveling in the +x direction through vacuum obeys the equation E_y = (375 N/C)cos[kx - (2.20 × 10¹⁴ rad/s)t]. (c = 3.0 × 10⁸ m/s) (a)What is the largest that the x-component of the wave can be? (b)What is the largest that the z-component of the wave can be?

The average intensity of the sunlight in Miami,Florida,is 1.04 kW/m².For surfaces on which the light is all absorbed,what is the average value of the radiation pressure due to this sunlight in Miami? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Near the earth the intensity of radiation from the sun is 1.35 kW/m².What volume of space in this region contains 1.0 J of electromagnetic energy? (c = 3.0 × 10⁸ m/s, μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

In the figure,the orientation of the transmission axis for each of three polarizing sheets is labeled relative to the vertical direction.A beam of light,polarized in the vertical direction,is incident on the first polarized with an intensity of 1000 W/m².What is the intensity of the beam after it has passed through the three polarizing sheets when θ₁ = 30°,θ₂ = 30° and θ₃ =60°?

The total electromagnetic power emitted by the sun is 3.8 × 10²⁶ W.What is the radiation pressure on a totally absorbing satellite at the orbit of Mercury,which has an orbital radius of 5.8 × 10¹⁰ m? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

An electromagnetic wave has a peak electric field of 3.0 kV/m.What is the intensity of the wave? (c = 3.0 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A totally absorbing surface having an area of 7.7 cm² faces a small source of sinusoidal electromagnetic radiation that is 2.4 m away.At the surface,the electric field amplitude of the radiation is 84 V/m.(c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²) (a)What is the radiation pressure exerted on the surface? (b)What is the total power output of the source,if it is assumed to radiate uniformly in all directions?

The magnitude of the electric field at a point P for a certain electromagnetic wave is 570 N/C.What is the magnitude of the magnetic field for that wave at P? (c = 3.0 × 10⁸ m/s)

A microwave oven operates with sinusoidal microwaves at a frequency of 2400 MHz.The height of the oven cavity is 25 cm and the base measures 30 cm by 30 cm.Assume that microwave energy is generated uniformly on the upper surface of the cavity and propagates directly downward toward the base.The base is lined with a material that completely absorbs microwave energy.The total microwave energy content of the cavity is 0.50 µJ.What is the amplitude of the electric field? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A, ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

An electromagnetic wave is propagating towards the west.At a certain moment the direction of the magnetic field vector associated with this wave points vertically up.The direction of the electric field vector of this wave is

If the magnetic field of an electromagnetic wave is in the +x-direction and the electric field of the wave is in the +y-direction,the wave is traveling in the

A laser beam has a wavelength of 633 nm and a power of 0.500 mW spread uniformly over a circle 1.20 mm in diameter.This beam falls perpendicularly on a perfectly reflecting piece of paper having twice the diameter of the laser beam and a mass of 1.50 mg.(c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²) (a)What are the amplitudes of the electric and magnetic fields in this laser beam? (b)What acceleration does the laser beam give to the paper?

The magnitude of the Poynting vector of a planar electromagnetic wave has an average value of 0.724 W/m².What is the maximum value of the magnetic field in the wave? (c = 3.0 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A 7.5 × 10¹⁴ Hz laser emits a 7.7-μs pulse,5.0 mm in diameter,with a beam energy density of 0.51 J/m³.What is the amplitude of the electric field of the emitted waves? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

A very small source of light that radiates uniformly in all directions produces an electric field amplitude of 2.96 V/m at a point 33.0 m from the source.What is the power output from the source? (c = 3.00 × 10⁸ m/s,μ₀ = 4π × 10^-7 T ∙ m/A,ε₀ = 8.85 × 10^-12 C²/N ∙ m²)

Unpolarized light passes through three polarizing filters.The first one is oriented with a horizontal transmission axis,the second filter has its transmission axis 25.7° from the horizontal,and the third one has a vertical transmission axis.What percent of the light gets through this combination of filters?

Given that the wavelengths of visible light range from 400 nm to 700 nm,what is the highest frequency of visible light? (c = 3.0 × 10⁸ m/s)