3. 0.80 um EM wave is coupled to square-shaped waveguide (0.0010mm X 0.0010mm), (a) Starting from the dispersion relation(k vs. o), find the group and phase velocity of the lowest TE mode. (b) What is the difference in arrival time between the lowest and the highest modes after propagating 1.0 km through the waveguide?

3. 0.80 um EM wave is coupled to square-shaped waveguide (0.0010mm X 0.0010mm), (a) Starting from the dispersion relation(k vs. o), find the group and phase velocity of the lowest TE mode. (b) What is the difference in arrival time between the lowest and the highest modes after propagating 1.0 km through the waveguide?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter34: Electromagnetic Waves

Section: Chapter Questions

Problem 34.29P: What is the average magnitude of the Poynting vector 5.00 mi from a radio transmitter broadcasting...

See similar textbooks

Similar questions

The potential difference V(t) between parallel plates shown above is instantaneously increasing at a rate of 107V/s. What is the displacement current between the plates if the separation of the plates is 1.00 cm and they have an area of 0.200m2?
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 computer user finds that his wireless router transmits data at a rate of 75 Mbps (megabits per second). Compare the average time to transmit one bit of data with the time difference between the wifi signal reaching an observer’s cell phone directly and by bouncing back to the observer from a wall 8.00 m past the observer.
A radio station broadcasts its radio waves with a power of 50,000 W. What would be the intensity of this signal if it is received on a planet orbiting Proxima Centuri, the closest star to our Sun, at 4.243 ly away?
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?
Suppose the maximum safe intensity of microwaves for human exposure is taken to be 1,00 W/m2. (a) If a radar unit leaks 10.0 W of microwaves (other than those sent by its antenna) uniformly in all directions, how far away must you be to be exposed to an intensity considered to be safe? Assume that the power spreads uniformly over the area of a sphere with no complications from absorption or reflection, (b) What is the maximum electric field strength at the safe intensity? (Note that early radar units leaked more than modem ones do. This caused identifiable health problems, such as cataracts, for people who worked near them.)
What is the average magnitude of the Poynting vector 5.00 mi from a radio transmitter broadcasting isotropically (equally in all directions) with an average power of 250 kW?
Assume the helium-neon lasers commonly used in student physics laboratories have power outputs of 0.500 mW. (a) If such a laser beam is projected onto a circular spot 1.00 mm in diameter, what Is its Intensity? (b) Find the peak magnetic field strength. (C) Find the peak electric field strength.
An outdoor WIFi unit for a picnic area has a 100-mW output and a range of about 30 m. What output power would reduce its range to 12 m for use with the same devices as before? Assume there are no obstacles in the way and that microwaves into the ground are simply absorbed.
A radio transmitter broadcasts plane electromagnetic waves whose maximum electric field at a particular location is 1.55103V/m . What is the maximum magnitude of the oscillating magnetic field at that location? How does it compare with Earth’s magnetic field?
If electric and magnetic field strengths vary sinusoidally in time, being zero at t=0, then E=E0 sin 2πft and B=B0 Sin 2πft . Let f = 1.00 GHz here When are the field strengths first zero?
A plane wave is normally propagating from air into a homogenous medium wi th Er2 = 3, H2 = 1, o, = 0 The incident E-field is known as E10 = 1x10-3 V/m The initial phase of the EM wave is 0 at the medium interface. Determine the (1) r eflection coefficient, transmission coefficient, and standing wave ratio at the i nterface (2) the amplitudes of the reflection and transmission waves for the E -field and H-field.