Resistor - Capacitor - Resistor

AI Thread Summary
In a series circuit with an emf, resistor1, capacitor, and resistor2, both resistors experience the same current during the capacitor's charging interval, allowing for their resistances to be combined when considering voltage across the capacitor. However, when measuring voltage between the capacitor's top end and Earth, the resistors cannot be simply combined due to differing reference points. The discussion highlights that while the current flow is defined by the total resistance and capacitance, the voltage at the capacitor's top end changes over time based on the resistor values. There is no charge loss in the circuit; rather, the reference point for measuring potential difference (PD) affects the readings. The phase difference in PD measurements between the capacitor's ends and Earth is also emphasized, particularly in relation to the input voltage.
Sefrez
Messages
124
Reaction score
0
This should be a simple question.

If you have a series circuit in the following order: emf, resistor1, capacitor, resistor2

Are both resistors in series during the charging interval considering that they both have the same current through them? That is, would a resistance of resistor1 + resistor2 either before or after the capacitor be equivalent?
 
Physics news on Phys.org
If you are only considering the voltage across the capacitor then you can combine the two resistors. BUT NOT if you are considering the voltage between the 'top end' of the capacitor and Earth, for instance. For that, you need to do things in a different order.
 
I believe I am speaking of the first you mention. For the second, could you explain in a little more detail what that would be? The way I am picturing it now is that your saying the wire at which terminates at the negative terminal of the emf is earthed. Is that correct? If so, how does this change the situation? Charge loss or something?

Thanks!
 
I had to stop and think there!
The problem was that you didn't actually ask the question which answered! (HAHA - very common)
I was initially talking in terms of measuring volts in the AC situation but the same must apply to the transient waveform at switch on. The current flow with time will be the same (defined by R(total) and C) but, with the resistance 'split' across the C, the voltage at the top of the C will start at Vin, modified by the potentiometer ratio to a value above zero and end up at Vin. Think of it this way: if the top resistor were nearly zero, the value of PD to Earth would be nearly Vin all the time.

There is no "charge loss". The difference is the reference point from which you would be measuring the 'output' PD.

If the capacitor is 'in the middle' then the phase of the PD between positive end of the capacitor and Earth will not be the same as the phase of the PD between the ends of the capacitor. (wrt the phase of Vin)
 
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