1. At high noon, a sinusoidal electromagnetic wave is heading straight toward San Diego. At a...

1. At high noon, a sinusoidal electromagnetic wave is heading straight toward San Diego. At a 12:00 sharp, the electric field at a certain location is 700 N/C directed South. a) What is the magnitude and direction of the magnetic field at this location at this instant? b) If it takes 1.0 x 10^-15 seconds for the fields at this location to return to the values described above, what is the wavelength of this wave? c) Does this wave fall within the visible range? d) At what rate does this wave deliver energy to a patch of Earth of area 2 m², assuming all is absorbed?

Solutions

Expert Solution

a) The electric field's direction, magnetic field's direction and the direction of propagation of the wave are mutually perpendicular to each other. And the cross product of the electric field's direction with magnetic field's direction gives the direction of propagation. Assuming the wave is coming down from above, the electric's field's direction is towards south, then the magnetic field's direction is towards east.

The magnitude of magnetic field is

where E is the magnitude of electric field and c is the speed of light

b) Given the time period is 1.0 x 10^-15 s

The wavelength is

c) The shortest visible wavelength is 350 nm which is of violet light. Thus 47.7 nm wave is not within visible range.

d) The average Poynting vector is

The rate at which this wave deliver energy to a patch of Earth of area A is

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A sinusoidal electromagnetic wave of frequency 6.10

A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. Part A If at...

A sinusoidal electromagnetic wave is propagating in a vacuum in the +z-direction. Part A If at a particular instant and at a certain point in space the electric field is in the +x-direction and has a magnitude of 3.40V/m , what is the magnitude of the magnetic field of the wave at this same point in space and instant in time? Part B What is the direction of the magnetic field?

A sinusoidal electromagnetic wave propagates in a vacuum in the positive x-direction. The B⃗ field oscillates in...

A sinusoidal electromagnetic wave propagates in a vacuum in the positive x-direction. The B⃗ field oscillates in the z-direction. The wavelength of the wave is 30 nm and the amplitude of the B⃗ field oscillations is 1.0×10−2 T. Part A Find the frequency with which the electric energy in the wave oscillates. Express your answer with the appropriate units. f f = SubmitPrevious AnswersRequest Answer Incorrect; Try Again; 4 attempts remaining Part B Find the frequency at which magnetic field energy oscillates....

You are looking at a current carrying wire. The current is heading straight for you toward your eye.

You are looking at a current carrying wire. The current is heading straight for you toward your eye. The magnetic field lines and field strength are best described by:The field lines point in away from wire, and drop off as $1 / r^{2}$The field lines wrap around the wire CCW and drop off as $1 / \mathrm{r}$The field lines wrap around the wire CCW and drop off as $1 / r^{2}$The field lines point in toward wire, and drop off...

1. A sinusoidal voltage wave on a transmission line has real amplitude, V_0. The wave is...

1. A sinusoidal voltage wave on a transmission line has real amplitude, V_0. The wave is expressed in phasor form as V_s(z) = V_0*e^(-alpha*z)*e^(-j*(beta)*z) a. In which direction does this wave propagate and why? b. Express the given wave in real instantaneous form. c. The parameters of the line, operating at ω= 6.0×10^8 rad/s are L = 0.350 μH/m, C = 40.0 pF/m, G = 0 and R = 15.0 Ω/m. Find α,β,λ, andZ_0 (in magnitude and phase). d. Calculate...

1-San Diego is a city that is at sea level. Denver is 5280 ft above see...

1-San Diego is a city that is at sea level. Denver is 5280 ft above see level. The atmospheric pressure is higher at San Diego / Denver / Neither. % of O2 in the air is higher at San Diego / Denver / Neither. The Partial Pressure of O2 is lower at San Diego / Denver / Neither. In a closed vessel (like the water bottle), air will take up more volume at San Diego / Denver / Neither. 2-...

At a certain location, electromagnetic wave 1 is measured to have an average electric field of...

At a certain location, electromagnetic wave 1 is measured to have an average electric field of Eav = 152 N/C, and electromagnetic wave 2 is measured to have an average magnetic field of Bav = 0.87 µT. a. (5 points) Calculate the average intensity of each wave. b. (5 points) If the electromagnetic waves are being measured 0.54 m from their light sources (assume that they are emitting light uniformly in all directions), what average power is each source emitting?...

On 1/1/2016, California Corporation purchased 75% of the outstanding voting stock of San Diego Corporation for...

On 1/1/2016, California Corporation purchased 75% of the outstanding voting stock of San Diego Corporation for $2,400,000 paid in cash. On the date of the acquisition, San Diego’s shareholders’ equity consisted of the following: Common stock, $10 par $1,000,000 APIC 600,000 Retained Earnings 800,000 Total SE $2,400,000 The excess fair value of the net assets acquired was assigned 10% to undervalued Inventory (sold in 2016), 40% to undervalued PPE assets with a remaining useful life of 8 years, and 50%...

Electromagnetic wave problem TE modes=Transverse Electric Modes TM modes=Transverse Magnetic Modes problem: Consider a long straight...

Electromagnetic wave problem TE modes=Transverse Electric Modes TM modes=Transverse Magnetic Modes problem: Consider a long straight hollow cylindrical metal tube with an inner diameter R. Find possible Transverse Electric Modes(TE modes) and Transverse Magnetic Modes(TM modes) that are propagated in this wave guide system (FIND TE modes and TM modes in this wave guide system)

1. Draw a simple circuit diagram of half wave specific with sinusoidal input signal define on...

1. Draw a simple circuit diagram of half wave specific with sinusoidal input signal define on V_in (t) = A*cos(wt^2*pi*f) with peak voltage of 10 V and frequency of 60 Hz. 2. Design the output voltage in terms of fourier transform. 3. Use matlab to plot the frequency spectrum of the rectified signal for magnitude and phase use load resistance as 1 kilo-ohm and cutoff frequency as 10 Hz. 4. Design a second order butterworth filter of a specific cosine...

Subjects