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jjk
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Does anyone know of any instance where the the time constants of two RC circuits in series is additive. It seems that when R1=R2 and tao1~tao2 this holds?
jjk said:Does anyone know of any instance where the the time constants of two RC circuits in series is additive. It seems that when R1=R2 and tao1~tao2 this holds?
PVDF said:Thanks jjk or PVDF.
CNC said:That last post (#3) should have been the same as #5 "not thanks to myself" and I don't know what the probelm is, I am also having problems logging back in hence the multiple usernames.
CNC said:Using a Voigt model to model the circuit indicates that I should only see one time constant the greater of the two, any reason why experimentally I am seeing the sum of the two time constants?
CNC said:The circuitry I have been using is --RC--RC-- where the two RC circuits are in parallel, and the Z'=∑R_k/((1+(ωCR)^2 )) and Z" = -ω∑(CR^2)/((1+(ωCR)^2 )), however upon using this to model the data ie C1=50pF and C2=100pF, R1=R2=1Mohm and sweeping frequency 0.1-100 kHz it is an RC semicircle but the max. gives a tao = 0.1 ms (R2*C2), the experimental data on the other hand, upon subtracting the reference tao C1*R1 from the total tao I get 0.11 ms. I am only trying to determine C2 and I get the right C when subtracting C(total) from C1 but circuit analysis wise I don't see why this works?
The additivity of time constants in series RC circuits refers to the property of the time constants of individual components in a series circuit being additive, meaning that the overall time constant of the circuit is equal to the sum of the individual time constants.
The additivity of time constants is an important factor in determining the overall behavior of series RC circuits. It affects the rate at which the circuit charges or discharges, as well as the overall time it takes for the circuit to reach a steady state.
The additivity of time constants is important in circuit analysis because it allows us to simplify complex circuits into smaller, more manageable parts. By breaking down a series RC circuit into individual components with their own time constants, we can better understand and predict the behavior of the overall circuit.
The additivity of time constants can be applied in real-world circuits to design and analyze various electronic systems. For example, in a series RC circuit used in a low-pass filter, the additivity of time constants can help determine the cutoff frequency and the rate at which the filter attenuates high-frequency signals.
While the additivity of time constants holds true for ideal components, it may not be accurate in real-world circuits due to factors such as parasitic capacitance, resistance, and inductance. Additionally, this concept assumes that the components are connected in series and do not interact with each other, which may not always be the case in practical circuits.