Calulating voltage across a resistor

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The discussion revolves around calculating the total impedance and voltage across a resistor in a circuit with a high pass filter. The circuit includes a 10nF capacitor and a 1kΩ resistor powered by a 10V AC source, with a frequency of 16kHz. Participants emphasize the need to consider both the reactance of the capacitor and the resistance of the resistor to determine the total impedance. There is uncertainty about the configuration of the capacitor relative to the resistor, whether in series or parallel, which affects the calculations. The conversation highlights the importance of using the correct formulas and understanding the circuit layout to find the desired voltage across the resistor.
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Homework Statement



what is the total impedance and voltage across the resistor at this frequency?

The type of circuit is a simple circuit with a high pass filter connected. The filter is rated at 10nF, the resistor is 1Kohm and the power source is 10v AC


Homework Equations



the frequency for the circuit I've worked out previously to be 16Khz.

The Attempt at a Solution



for working out the impedance I've been using the formula:

0203.GIF


which gave me 1/(2piX16khzX10nF) which I worked out to be 994.7ohms. Think I've got that bit right but not entirely sure. As for the voltage I'm not sure at all as to what formula I should be using in order to calculate it? If anyone does anwser please don't give the answer using my figures as I'd like to work it out for myself. Though an example would be appreciated :)
 
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The circuit isn't clear to me. Is the capacitor in parallel or in series with the resistor?
The impedance of the resistor is given - 1 k ohm.
Perhaps you want to find the impedance of the resistor and capacitor in parallel/series - if so you must consider the reactance you have for the capacitor AND the resistance. How do you combine resistance and reactance to get impedance?

The second part depends very much on what the circuit is. I expect you will have to use V = IZ to find the current for starters.
 
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Delphi51 said:
The circuit isn't clear to me. Is the capacitor in parallel with the resistor?
The impedance of the resistor is given - 1 k ohm.
Perhaps you want to find the impedance of the resistor and capacitor in parallel - if so you must consider the reactance you have for the capacitor AND the resistance. How do you combine resistance and reactance to get impedance?

Probably easier to explain if I just show you the circuit :)

http://img231.imageshack.us/img231/3558/p1201092133st6.jpg
http://g.imageshack.us/img231/p1201092133st6.jpg/1/

Only want to find the impedance of the resistor(which is what I've had a go at) and the voltage across the resistor.
 
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Welcome to PF wormvortex :smile:

I think they want the impedance of the total circuit (capacitor & resistor together), and the voltage across the resistor.

Asking for the impedance of a 1 kΩ resistor would be too easy. :wink:
 
doesn't mention the capacitor at all in the question so don't think it's asking me to find it.
 
It asks for "total impedance". As I interpret the question, "total" would include the capacitor.

But if you think otherwise, I won't argue the point any further.
 
Just out of curiousity, were you able to get the voltage across the resistor?
 
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