RC Circuit: Effects of Increasing R on E and V

AI Thread Summary
Increasing the resistance (R) in an RC circuit affects the time constant (tau), which is defined as the product of R and capacitance (C). The voltage across the resistor (V) and capacitor (E) decreases exponentially when the circuit is activated. The time taken for the voltage across the resistor to drop to half its initial value is approximately 0.693 times the time constant (0.693RC). Measuring this time using an oscilloscope allows for the calculation of the time constant. Understanding these relationships is crucial for analyzing the behavior of RC circuits.
M. next
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Supposing we have an RC circuit (see figure)
As we increase R, what will happen to the visualized signal of E and V(capacitor) and V(resistor)?


And a general question about measuring the (Tao) [the one that equals to RC] BUT FROM THE OSCILLOSCOPE..

They mentioned it is the time for which V(resistor) decreases to half its initial value (but I still don't get it)

Thanks in advance
 
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Hi M.next... I cannot see your diagram ! (I can picture what you mean but...)
One thing to note... RC is called the time constant (tau) but this is NOT the time taken for the voltage across R to 1/2.
The time for it to 1/2 is 0.693RC (ln2 x RC) so measuring the time to become 1/2 from the oscilloscope (not difficult !) enables you to calculate RC
Hope this helps... your diagram would be useful !
 
I donno why it is not uploading :/!
Concerning the tau, please elaborate supposing you can imagine an oscilloscope signal..
 
If you have a simple R in series with a C connected to a battery of voltage E...then when the switch is closed the current will be a max (= E/R) and will decrease exponentially. The voltage across R will also decrease exponentially from a value of E.
When the voltage across R has decreased to E/2 then the time taken = 0.693RC.
If you can display the V across R on a CRO you should be able to measure the time for V to become V/2.
I am not certain what you mean by...'as we increase R...!
Hope this helps.
As an example: if you have 1 microfarad in series with 1 megohm then time constant = 1 second so it will take 0.693s for the voltage across R to become 1/2
 
Thank you very much truesearch
 
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