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# Electromagnetic Fields and Waves ECEN 3400

GPA 3.9

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## Popular in ELECTRICAL AND COMPUTER ENGINEERING

This 3 page Study Guide was uploaded by Mrs. Lacy Schneider on Thursday October 29, 2015. The Study Guide belongs to ECEN 3400 at University of Colorado at Boulder taught by Robert McLeod in Fall. Since its upload, it has received 27 views. For similar materials see /class/231788/ecen-3400-university-of-colorado-at-boulder in ELECTRICAL AND COMPUTER ENGINEERING at University of Colorado at Boulder.

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Date Created: 10/29/15

ECEN 3400 Summary What did we learn this semester or What is going to be on the nal 113005 Vector calculus O O O 0 How do you set up an integral over a line surface or volume in rectangular cylindrical or spherical coordinates What is the V operator in rectangular coordinates Gradient divergence and curl what do they mean and how do you calculate them Divergence and Stoke s theorems Do you understand why they make sense Can you use them to go back and forth between the differential and integral forms of Maxwell s equations Electrostatic forces 0 O O O 0 Can you nd the force on a point charge from a distribution of charges in space What is the electric eld and can you nd it from a distribution of charges in space What is voltage Can you nd voltage from E eld and visa versa From a point charge Gauss Law Do you understand when you can and cannot apply this symmetry Do you understand how to set up the surface integral Conductive materials 0 O O O 0 What makes a material a good conductor If excess charge is placed on a good conductor where does it end up What is the electric eld inside a good conductor Does is make sense to describe a good conductor as a material with very large S How does the shape of the conductor in uence the distribution of charge on it How does a Faraday cage work What is electrostatic induction 7 can you sketch where charges will be induced given a simple geometry of conductors and an applied E eld or free charge What is the image method and how do you use it Can you nd both the electric eld distribution and the distribution of induced charge on the ground plane using this method Dielectric materials 0 Do you understand the microscopic model of polarization charge movement and electric dipoles 0 Do you understand why bound charge occurs only at a surface in a uniform dielectric and how this relates to the reduced total electric eld inside the material 0 Do you understand the difference between E due to the total charge P due to the polarization charge and D due to the free charge In particular can you use the correct quantity for a particular problem 0 Do you understand the electrostatic boundary conditions from the behavior of dielectric materials Capacitance 0 What is capacitance and why is it a useful quantity to de ne o How do you calculate capacitance in simple geometries such as large parallel plates cylinders or spheres If dielectrics are present 0 How does the electrostatic calculation of capacitance generate the circuit equations for the capacitance of series and parallel capacitors 0 Energy and Force on large bodies 0 What is the energy density or total electricmagnetic energy given a distribution of electricmagnetic eld How does this relate to simple eXpressions for the energy stored in a capacitorinductor o What is the workenergy theorem and how can this be used to calculate forces on large bodies in the electricmagnetic eld 0 Current 0 What is Ohm s law in microscopic form What is the physical origin of conductivity 0 What is the microscopic form of Kirchhoff s current law Can you use this on a capacitor to eXplain the nature of currents and charges on a plate 0 What is a resistor 7 can you relate the microscopic Ohm s law to the circuit theory version 0 Magnetic forces 0 Can you nd the force on a moving charge or current element given a distribution of currents in space 0 Can you nd the magnetic uX density under the same circumstances How do you nd force given the magnetic uX density 0 What is magnetic uX How do you nd it from magnetic uX density Why is the total magnetic uX through a closed surface zero How does this compare to Gauss Law 0 Ampere s law Do you understand when you can and cannot apply this symmetry Do you understand how to set up the contour integral 0 Can you apply Ampere s law in simple geometries like coaX cables and solenoids 0 Magnetic materials 0 Do you understand the microscopic model of induced magnetic dipoles 0 Do you understand why induced Ampere s currents occurs only at a surface in a uniform magnetic material and how this relates to the reduced total magnetic uX density inside the material 0 Do you understand the difference between B due to the total current M due to the Ampere currents and H due to the applied current In particular can you use the correct quantity for a particular problem 0 What is a hysteresis loop and what is causing this to happen How is this used in magnetic data storage for example 0 Electromagnetic induction 0 What is an induce electric eld or emf and how do you calculate it Farady s Law 0 Why is the voltage between two points not a pathindependent quantity when elds are allowed to vary in time in contrast to the static case 0 Inductance o What is mutual and self inductance and why are these useful concepts 0 How do you calculate inductance for simple geometries like wires coils and coaxes 0 Do you understand how multiple turns in uences the total ux The induced emf When to use one or both quantities 0 Transmission lines O O O O O O O O 0 What do the quantities capacitance per unit lengt and inductance per unit length mean and how do you set up a simple circuit model for a small length of transmission line What are the telegrapher s equations and what is their physical interpretation from previous item What is the wave equation and what sorts of solutions does it admit What are the various constants that arise from this equation speed of propagation phase constant wavelength frequency and impedance What is the difference between total voltage current and the forward and backwards traveling waves What are the differences between input impedance as a function of position 39 quot391 39 andload39 l 39 What are the re ection and transmission coefficients What values do they take for shorts opens and matched loads What is the VSWR and why is it a useful quantity How do we modify the above for lines with small loss 0 Maxwell s equations 0 O 0 What is displacement current and why is it necessary to add this to Ampere s law Does this change the law of charge continuity Is displacement current real in the sense of moving charges What is the value of the displacement current between the plates of a capacitor Can you give an English eXplanation of each of Maxwell s four equations in either differential or integral form What is the formula for the Poynting vector and what does it mean Note that we did not dwell on the other terms in Poynting s theorem eq 1942 0 Plane waves 0 O O O 0 What is the freespace Helmholtz wave equation and what does it mean What sorts of solutions does it admit Are there 2 or 3 solutions and why What are the various constants that emerge from this solution What is polarization What are some common states of polarization What happens when these states are passed through a perfect polarizer How does a plane wave bend when it passes a dielectric boundary How much of the planewave power is re ected or transmitted when incident normally zero degree incidence angle on a dielectric boundary 0 Antennas O O 00 Far from an antenna what is the relationship between E and H How do these elds depend on distance r from the antenna What is a radiation pattern What does this pattern look like for a small electric dipole What is directivity and how does it differ for transmission and reception What is effective area and why is this a useful concept given its known relationship to directivity How do you calculate the power received from these quantities

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