Electric Field Unchanged in Parallel Plate Condenser w/ Varying Distance

AI Thread Summary
In a parallel plate condenser, increasing the distance between the plates from 4mm to 12mm does not decrease the electric field strength, which remains constant due to the uniform charge distribution. The potential difference increases to 180 volts as a result of the increased distance, following the relationship E = V/D. This relationship indicates that while the distance (D) increases, the electric field (E) remains dependent on the charge density rather than the separation distance. Gauss' law supports this by demonstrating that the electric field magnitude is determined by charge density. Therefore, the electric field remains unchanged despite variations in plate distance.
orgmann
Messages
4
Reaction score
0
If the distance between the plates of a parallel condensor is 4mm and the potential difference is 60 volts . Now if we increase the distance between the plates to 12mm , then

Why the electric field does not get decrease , instead of that potential difference between the condensor becomes 180 volts

As we know E= V/ D
 
Physics news on Phys.org
For the electric field's magnitude of the plane, where the charges are uniformly distributed, just depends on the density of charges of the plane, which can be acquired from Gauss' law, the electric field won't vary due to the distance in theory.
 
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