Electric potential anyone help

AI Thread Summary
Electric potential can be understood through two primary equations: dv = -E.dr, which relates potential difference to electric field and distance, and V = IR, which connects voltage, current, and resistance in circuits. The integration of the electric field provides a way to measure potential differences across components like resistors and capacitors. Understanding these concepts can clarify how electric potential is applied in both theoretical and practical scenarios. The Lorentz force is also relevant, as it describes the force on a charged particle in an electric field, linking the concepts of electric fields and circuit behavior. Mastering these relationships is essential for a comprehensive understanding of electric potential in various contexts.
ahmedhassan72
Messages
54
Reaction score
0
Please anyone explain that to me as i cannot get it .How to link the potential difference which comes by integration dv=-E.dr like the potential inside and outside a charged sphere and the potential which comes by V=IR in our daily circuits how that comes i know that these are basics but i still want to understand and thanks in advance
 
Physics news on Phys.org
Hi ahmedhassan72! :smile:

there are often two ways of defining electric units :wink:

voltage = energy/charge = work/charge = force"dot"distance/charge = (from the Lorentz force) electric field"dot"distance, or dV = E.dr

but also voltage = energy/charge = (energy/time)/(charge/time) = power/current, or V = W/I :smile:
 
so how can i apply the dv=-E.dr in circuit to measure a potential across a resistor or capacitor to get to the v=IR ...also what is the lorents force...i got from u that if i have a stright line cylinderical wire and a battery then i can i measure by dv=-E.dr but for easiness i get it by v=IR
 
This is from Griffiths' Electrodynamics, 3rd edition, page 352. I am trying to calculate the divergence of the Maxwell stress tensor. The tensor is given as ##T_{ij} =\epsilon_0 (E_iE_j-\frac 1 2 \delta_{ij} E^2)+\frac 1 {\mu_0}(B_iB_j-\frac 1 2 \delta_{ij} B^2)##. To make things easier, I just want to focus on the part with the electrical field, i.e. I want to find the divergence of ##E_{ij}=E_iE_j-\frac 1 2 \delta_{ij}E^2##. In matrix form, this tensor should look like this...
Thread 'Applying the Gauss (1835) formula for force between 2 parallel DC currents'
Please can anyone either:- (1) point me to a derivation of the perpendicular force (Fy) between two very long parallel wires carrying steady currents utilising the formula of Gauss for the force F along the line r between 2 charges? Or alternatively (2) point out where I have gone wrong in my method? I am having problems with calculating the direction and magnitude of the force as expected from modern (Biot-Savart-Maxwell-Lorentz) formula. Here is my method and results so far:- This...
Back
Top