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Parallel combination circuit question

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qingcong

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Hi,

This is a bit of a basic circuit question. I want to take the parallel circuit below and combine it into a single RC branch also seen below.

parallel.png
to
eq.png

Is this possible?

Thanks.
 

Hi,

Yes.

But without values: impossible.

What solution do you want?
More mathematical or more by drawing vectors?

I recommend to use a step in between: R and C n parallel.

Klaus
 

An equivalent circuit is possible only for a single frequency. The impedance will be different for any other frequency. Don't know if this is what you want.
 

The rolloff curve changes slope at some point. It resembles an RIAA equalization circuit. A search turned up schematics such as this diagram:

'phono stage riaa eq network'.

9094724200_1485315276.png
 

Write the equivalent impedance of original circuit at a frequency omega(w)

z1=r1-j1/(c1*w)
z2=-j/(c2*w)
zeq=(z1*z2)/(z1+z2)=P-jQ
req=P
ceq=1/(Q*w)

req and ceq are function of frequency. So better to use original circuit as low pass filter.
 
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