## EE 381-01 Electric and Magnetic Fields

Dr. Montoya's Fall 2023, 3-0 (3 credit hours)

EEP 208- MWF 10-10:50 am

Examples

Chapter 11 Transmission Lines (TLs), sections 11.1 - 11.5

Table_11-1_Figure_11-2.pdf – distributed parameters for coaxial, two-wire, & planar TLs

300_ohm_twin_lead_distributed_parameters.pdf – distributed parameters for Belden 9085

lossy_wave_propagation.pdf – some parameters & wave propagation on Belden 9085

lossless_wave_propagation.pdf – some parameters & wave propagation on a lossless Belden 9085

air_dielectric_PEC_coax_1GHz.pdf – parameters for an air-dielectric lossless coaxial TL

300_ohm_twin_lead_distortionless_low_loss.pdf – Is Belden 9085 distortionless/low loss?

air_dielectric_PEC_coax_1GHz_TL_circuit.pdf – TL circuit example using air-dielectric coaxial TL

RG6_473MHz_lossy_lossless_params.pdf – load & input TL parameters for ‘lossless’ and lossy RG-6

lossy_lossless_standing_wave_examples.pdf – examples of standing waves for various loads on lossless and lossy TLs

tline_ckt_lossless_ex1.pdf – lossless TL circuit w/ Zin given

tline_ckt_lossless_ex2.pdf (repeat of previous example done using MathCad)

lossless_tl_ckt_power_example.pdf – lossless TL circuit w/ power calculations

lossy_tl_ckt_power_example.pdf – lossy TL circuit w/ power calculations

TL_SC_OC_stubs.pdf – Impedance of 50 W short & open circuit stubs versus length

TL_stub_example.pdf – Example of short & open circuit stubs equivalent to an inductor

Smith_chart_1944.pdf – Smith chart Electronics, vol. 17, No. 1, pp.318-325, Jan. 1944.

G and then z, Z, and SWR.

Smith_chart_example_2A.pdf – Plot zL and find GL, SWR, Gin, & Zin.

Gin and find SWR, Zin, GL, & ZL.

Smith_chart_example_3.pdf – Plot zL and find GL, SWR, yL, and locations of impedance/voltage maxima & impedance/voltage minima .

Chapter 1 Vector Algebra

triangle_vectors.pdf – examples of using position & distance vectors and vector products

Chapter 2 Coordinate Systems and Transformation

cylindrical_carteseian_vectors.pdf – example on Cartesian « cylindrical vectors

Chapter 3 Vector Calculus

divergence_theorem_example.pdf – Divergence theorem example

stokes_theorem_example.pdfStoke’s theorem example

Vector classification example

Chapter 4 Electrostatic Fields

point_charge_force.pdf – find force between two point charges

mult_point_charges_force.pdf – find force between three point charges

infinite_line_charge_uniform_pl.pdf – find electric field generated by a line charge

uniform_ps_disk_E_field.pdf  find electric field generated by a flat circular disk

uniform_ps_plane_D_E.pdf  find electric fields generated by a flat plane (Gauss’ Law)

uniform_pl_line_D_E.pdf  find electric fields generated by a line (Gauss’ Law)

finite_uniform_pl_voltage.pdf  find voltage generated by a finite uniform line charge

uniform_ps_disk_voltage.pdf  find voltage generated by a flat circular disk

finite_uniform_pl_E_field_from_V.pdf – find electric field from the voltage generated by a finite uniform line charge

uniform_ps_disk_E_field_from_V.pdf – find electric field from the voltage generated by a  flat circular disk

parallel_plate_capacitor_energy.pdf – find energy stored in electric field by parallel-plate capacitor

Chapter 5 Electric Fields in Material Space

polarization_example.pdf – find polarization vector and bound charge densities for a parallel-plate capacitor

flat_dielectric_boundary.pdf – find fields & surface charge density on both sides of flat dielectric boundary

pec_dielectric_boundary.pdf – find fields near flat surface with surface charge density

tilt_dielectric_boundary.pdf – find fields & surface charge density on both sides of tilted dielectric boundary

Chapter 6 Electrostatic Boundary-Value Problems

1D_Poissons_Laplaces.pdf – Electrostatic BV problem (Poisson’s & Laplace’s eqns) plus boundary conditions

parallel_plate_capacitor.pdf – Capacitance problem

spherical_capacitor.pdf – Capacitance problem

lossy_parallel_plate_capacitor_resistance.pdf – Resistance problem

Chapter 7 Magnetostatic Fields

biot_savart_straight_wire.pdf – find B due to long straight filamentary current

biot_savart_Js_ring.pdf – find B due cylindrical ring carrying surface current density

biot_savart_J_bar.pdf – find B due to long rectangular bar carrying volume current density

Amperes_Law_coaxial_trans_line.pdf – find magnetic field for a long coaxial cable

A_straight_wire.pdf – find vector magnetic potential due to a long straight filamentary current

Chapter 8 Magnetic Forces, Materials, and Devices

magnetic_force_parallel_wires.pdf – magnetic force between 2 parallel wire segments

magnetic_force_square_loops.pdf – magnetic force on 1 side of a square loop due to another square loop

magnetic_boundary_flat.pdf – magnetic boundary problem, no surface current density

magnetic_boundary_tilt.pdf – magnetic boundary problem w/ surface current density

toroidal_inductor.pdf – find inductance of a toroidal (doughnut-shaped) inductor

solenoidal_inductor.pdf – find inductance of a solenoidal (straight) inductor

coaxial_tl_inductance.pdf – find inductance per-unit-length of coaxial trans. line