ElectricElectric ForcePolarizationInsulatorElectric Field of Charged RodElectric Field of Charged Ring, Disk, and PlaneElectric Field of Charged Spherical ShellPotential EnergyPotential DifferenceElectric PotentialElectric EnergyElectric CurrentMagnetic FieldKirchhoff's Current LawSteady StateCapacitor Charge and DischargeRC Circuit Time Constant Draft for Information Only
ContentCurrent Density and Conductivity
Current Density and ConductivityThe current density𝐽is the current per unit area 𝐴, 𝐼=|𝑞|𝑛𝐴
The conductivity 𝜎 is a mterial-dependent quantity.
Conductivity add, even for opposite sign charge carriers
That is
𝜎=|𝑞+|𝑛+𝑢++|𝑞−|𝑛−𝑢−
ResistanceThe resistance of a resistor of length 𝐿,∆𝑉=−
Resistors in SeriesWhen resistors are in series, the effective series resistance is𝐼=𝐼1=𝐼2
For resistor made of the same material and with the same 𝐴, the resistance follows straight from the definition of resistance 𝑅=𝐿𝜎𝐴 𝑅equivalent=
Resistors in ParallelWhen resistors are in parallel, the effective parallel resistance is𝐼=𝐼1+𝐼2=
For resistor made of the same material and with the same 𝐿, the resistance follows straight from the definition of resistance 𝑅=𝐿𝜎𝐴 𝑅=
Capacitor in SeriesWhen capacitors are in series, the effective series capacitance is𝐼=𝐼1=𝐼2⇒𝑄1=𝑄2=𝑄
For capacitor made of the same material and with the same 𝐴, the capacitance follows straight from the definition of capacitance 𝐶=𝜀0𝐴𝑠 𝐶=
Capacitor in ParallelWhen capacitors are in parallel, the effective parallel capacitance is𝐼=𝐼1+𝐼2⇒𝑄=𝑄1+𝑄2
For capacitor made of the same material and with the same 𝑠, the capacitance follows straight from the definition of capacitance 𝐶=𝜀0𝐴𝑠 𝐶equivalent=
Source and Referencehttps://www.youtube.com/watch?v=C0hFkY2G4y4&list=PLZ6kagz8q0bvxaUKCe2RRvU_h7wtNNxxi&index=18©sideway ID: 200100502 Last Updated: 1/5/2020 Revision: 0 Latest Updated Links
|
Home 5 Business Management HBR 3 Information Recreation Hobbies 8 Culture Chinese 1097 English 339 Reference 79 Computer Hardware 249 Software Application 213 Digitization 32 Latex 52 Manim 205 KB 1 Numeric 19 Programming Web 289 Unicode 504 HTML 66 CSS 65 SVG 46 ASP.NET 270 OS 429 DeskTop 7 Python 72 Knowledge Mathematics Formulas 8 Set 1 Logic 1 Algebra 84 Number Theory 206 Trigonometry 31 Geometry 34 Calculus 67 Engineering Tables 8 Mechanical Rigid Bodies Statics 92 Dynamics 37 Fluid 5 Control Acoustics 19 Natural Sciences Matter 1 Electric 27 Biology 1 |
Copyright © 2000-2024 Sideway . All rights reserved Disclaimers last modified on 06 September 2019