EMF
Most microwave ovens operate at 2.45 GHz. Assume that σ = 1.2×106 S/m and µR = 500 for the stainless steel interior, and find the depth of penetration
Homework Answers
Problem 7 MT: Field intensity vs. penetration depth (8 points) The formula for the field intensit...
Problem 7 MT: Field intensity vs. penetration depth (8 points) The formula for the field intensity, measured from the surface of a cylindrical bar carrying alternating current is given by where d is the depth / is the AC frequency, μ is the magnetic permeability, and σ is the electrical conductivity. Compute the variation of H with depth for a 2 cm diameter steel bar of average relative permeability 500, with a 30 Oe surface field strength. You can assume...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of e...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
A proposed exploration ship capable of interstellar and undersea exploration is being evaluated f...
a proposed exploration ship capable of interstellar and undersea exploration is being evaluated for structural stability. the vessel is made of double hollow concentric spherical vessel with an inside radius of 2.0 m and 2.5 m. made from titanium alloy steel (Ti-6Al-4V) plates with 300 mm thickness. for the safety of the crew, the atmosphere in vessel is maintained from 0.9 to 1.2 atm. a. estimate the maximum stress in the vessel during the inter-planetary space observations (absolute vacuum). B....
Please show work for problems 1-4 1. Calculate the activation energy for vacancy formation in aluminum,...
Please show work for problems 1-4
1. Calculate the activation energy for vacancy formation in aluminum, given that the equilibrium number of vacancies at 500°C (773 K) is 7.57 x10m3. The atomic weight and density (at 500°c) for aluminum are 26.98 g/mol and 2.62 g/cm, respectively 2. What point defects are possible for Al,0, as an impurity in Mgo? How many Al ions must be added to form each of these defects? 3. A sheet of steel 4.5 mm thick...
Acceleration EMF (a) A long straight rod with cross sectional area A and conductivity σ accelerates...
Acceleration EMF (a) A long straight rod with cross sectional area A and conductivity σ accelerates parallel to its length with acceleration a. Write down the Drude-like equation of motion for the average velocity v of an electron of mass m in the rod relative to the motion of the rod itself. Show that, in the absence of an external electric field, there is a steady solution that corresponds to a current 1 Aơma/e flowing in the wire. Assume that...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
A low-loss dielectric is one with a small loss tangent, that is, (o/we) <1. We can...
A low-loss dielectric is one with a small loss tangent, that is, (o/we) <1. We can reduce (6.52) for this special case by applying a binomial series expansion to the value within the 6.3.1 Low-Loss Dielectrics interior square root portion of the equations. The expansion is n(n-1);- + (1 + x)" = 1 + nx + 2! and for x< 1 this can be approximated as (1 + x)" = 1+ nx So we have + 1+ (6.53) 08 Inserting...
Using the isothermal transformation diagram for an alloy steel (type 4340) specify the nature of the final microstruct...
Using the isothermal transformation diagram for an alloy steel (type 4340) specify the nature of the final microstructure (in terms of micro-constituents present and approximate percentages) of a small specimen that has been subjected to the following time-temperature treatments: In each case assume that the specimen begins at 760°C and that it has been held at this temperature long enough to have achieved a complete and homogeneous austenite structure. (a) (a) Rapidly cool to 400°C, hold for 10 seconds, and...
1.The minimum wavelength and the minimum wave length for visible light is about 0.4 um and...
1.The minimum wavelength and the minimum wave length for visible light is about 0.4 um and 0.7 um, respectively . Assume that the velocity of light is a constant of 3.0x10^8 m/s and Planck's constant is 4.13x10^-15 eV-s. What kind of material will appear colored? (a)The material with band gap of 1.0eV (b)The material with band gap of 2.0eV (c)The material with band gap of 3.2eV (d)The material with band gap of 3.5eV 2.Which kind of material is most likely...
Phy222BS Ch1-Ch3 Review 2019 spring 1. The temperature changes from 35°F during the night to 75...
Phy222BS Ch1-Ch3 Review 2019 spring 1. The temperature changes from 35°F during the night to 75 F during the day What is the temperature change on the Celsius scale? A)72oC B)40°C Answer: D 32 D) 22 c The coefficient of linear expansion of steel is 12 X 10-6 K.. what is the change in length of a 25-m steel bridge span when it undergoes a temperature of 40 K? A) 1.2 cm Answer: A B) 1.4 cm C) 1.6 cm...
Problem 7 MT: Field intensity vs. penetration depth (8 points) The formula for the field intensity, measured from the surface of a cylindrical bar carrying alternating current is given by where d is the depth / is the AC frequency, μ is the magnetic permeability, and σ is the electrical conductivity. Compute the variation of H with depth for a 2 cm diameter steel bar of average relative permeability 500, with a 30 Oe surface field strength. You can assume...
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
Please show work for problems 1-4
1. Calculate the activation energy for vacancy formation in aluminum, given that the equilibrium number of vacancies at 500°C (773 K) is 7.57 x10m3. The atomic weight and density (at 500°c) for aluminum are 26.98 g/mol and 2.62 g/cm, respectively 2. What point defects are possible for Al,0, as an impurity in Mgo? How many Al ions must be added to form each of these defects? 3. A sheet of steel 4.5 mm thick...
Acceleration EMF (a) A long straight rod with cross sectional area A and conductivity σ accelerates parallel to its length with acceleration a. Write down the Drude-like equation of motion for the average velocity v of an electron of mass m in the rod relative to the motion of the rod itself. Show that, in the absence of an external electric field, there is a steady solution that corresponds to a current 1 Aơma/e flowing in the wire. Assume that...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
A low-loss dielectric is one with a small loss tangent, that is, (o/we) <1. We can reduce (6.52) for this special case by applying a binomial series expansion to the value within the 6.3.1 Low-Loss Dielectrics interior square root portion of the equations. The expansion is n(n-1);- + (1 + x)" = 1 + nx + 2! and for x< 1 this can be approximated as (1 + x)" = 1+ nx So we have + 1+ (6.53) 08 Inserting...
Using the isothermal transformation diagram for an alloy steel (type 4340) specify the nature of the final microstructure (in terms of micro-constituents present and approximate percentages) of a small specimen that has been subjected to the following time-temperature treatments: In each case assume that the specimen begins at 760°C and that it has been held at this temperature long enough to have achieved a complete and homogeneous austenite structure. (a) (a) Rapidly cool to 400°C, hold for 10 seconds, and...
Phy222BS Ch1-Ch3 Review 2019 spring 1. The temperature changes from 35°F during the night to 75 F during the day What is the temperature change on the Celsius scale? A)72oC B)40°C Answer: D 32 D) 22 c The coefficient of linear expansion of steel is 12 X 10-6 K.. what is the change in length of a 25-m steel bridge span when it undergoes a temperature of 40 K? A) 1.2 cm Answer: A B) 1.4 cm C) 1.6 cm...
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