Credits

Vellore Institute of Technology (VIT), Vellore
Nikita Suryawanshi has created this Calculator and 100+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has verified this Calculator and 1000+ more calculators!

Transfer Function (for physical frequencies) of STC networks for high pass filter Solution

STEP 0: Pre-Calculation Summary
Formula Used
trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1-(wₒ stc/w stc))
T(jw) = (µ/(1+(Rs/Ri))*(1+(Ro/Rl)))/(1-(wₒ/w))
This formula uses 7 Variables
Variables Used
Gain factor - Gain factor of an amplifier is the factor by which the input power is amplified (Measured in Decibel)
Source resistance - Source resistance is the value of internal resistance of source (Measured in Ohm)
Input resistance - Input resistance is the resistance value of the voltage amplifier (Measured in Ohm)
Output resistance - Output resistance is the value of resistance of the network (Measured in Ohm)
Load resistance - Load resistance is the resistance value of load given for the network (Measured in Kilohm)
wₒ stc - wₒ stc is the frequency of the STC network (Measured in Radian per Second)
w stc - w stc is the frequency at which magnitude and phase angle has to be calculated (Measured in Radian per Second)
STEP 1: Convert Input(s) to Base Unit
Gain factor: 40 Decibel --> 40 Decibel No Conversion Required
Source resistance: 20000 Ohm --> 20000 Ohm No Conversion Required
Input resistance: 100000 Ohm --> 100000 Ohm No Conversion Required
Output resistance: 200 Ohm --> 200 Ohm No Conversion Required
Load resistance: 1 Kilohm --> 1000 Ohm (Check conversion here)
wₒ stc: 1000000 Radian per Second --> 1000000 Radian per Second No Conversion Required
w stc: 100 Radian per Second --> 100 Radian per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T(jw) = (µ/(1+(Rs/Ri))*(1+(Ro/Rl)))/(1-(wₒ/w)) --> (40/(1+(20000/100000))*(1+(200/1000)))/(1-(1000000/100))
Evaluating ... ...
T(jw) = -0.004000400040004
STEP 3: Convert Result to Output's Unit
-0.004000400040004 Decibel --> No Conversion Required
FINAL ANSWER
-0.004000400040004 Decibel <-- transfer function
(Calculation completed in 00.016 seconds)

10+ Amplifiers Calculators

Transfer function of STC networks for high-pass filters
transfer_func = Gain factor*Input capacitance*Source resistance*Input resistance/((1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))*(Source resistance+Input resistance)*(Input capacitance*Source resistance*Source resistance+Source resistance+Input resistance)) Go
Transfer function of STC networks for low-pass filters
transfer_func = Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))*(1+(Input capacitance*Input resistance*Source resistance/(Source resistance+Input resistance))) Go
Magnitude Response |T(jω)| of STC network for high-pass filter
magnitude_response = (modulus(Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))))/sqrt(1+(wₒ stc/w stc)^2) Go
Magnitude Response |T(jω)| of STC network for low-pass filter
magnitude_response = (modulus(Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))))/sqrt(1+(w stc/wₒ stc)^2) Go
Transfer Function (for physical frequencies) of STC networks for high pass filter
trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1-(wₒ stc/w stc)) Go
Transfer Function (for physical frequencies) of STC networks for low pass filter
trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1+(w stc/wₒ stc)) Go
Power delivered to the amplifier
power_delivered = (Positive dc voltage*Positive dc current)+(Negative dc voltage*Negative dc current) Go
Amplifier Power Efficiency
amplifier_power_efficiency = 100*power delivered to load/dc power delivered to the amplifier Go
Output signal of an amplifier
output_signal = Power gain*input signal Go
Power gain of the amplifier when voltage and current are given
power_gain = voltage gain*current gain Go

Transfer Function (for physical frequencies) of STC networks for high pass filter Formula

trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1-(wₒ stc/w stc))
T(jw) = (µ/(1+(Rs/Ri))*(1+(Ro/Rl)))/(1-(wₒ/w))

What are Single Time Constance Networks?

An STC network is one that is composed of, or can be reduced to, one reactive component and one resistance. Most STC networks can be classified into low pass and high pass, with each of the two displaying distinctly different signal responses. In STC network for low pass filters, the transmission reduces with frequency and approaches zero as w approaches infinity

How to Calculate Transfer Function (for physical frequencies) of STC networks for high pass filter?

Transfer Function (for physical frequencies) of STC networks for high pass filter calculator uses trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1-(wₒ stc/w stc)) to calculate the transfer function, The Transfer Function (for physical frequencies) of STC networks for high pass filter will give transfer function of a particular STC network at a given physical frequency, w. transfer function and is denoted by T(jw) symbol.

How to calculate Transfer Function (for physical frequencies) of STC networks for high pass filter using this online calculator? To use this online calculator for Transfer Function (for physical frequencies) of STC networks for high pass filter, enter Gain factor (µ), Source resistance (Rs), Input resistance (Ri), Output resistance (Ro), Load resistance (Rl), wₒ stc (wₒ) and w stc (w) and hit the calculate button. Here is how the Transfer Function (for physical frequencies) of STC networks for high pass filter calculation can be explained with given input values -> -0.004 = (40/(1+(20000/100000))*(1+(200/1000)))/(1-(1000000/100)).

FAQ

What is Transfer Function (for physical frequencies) of STC networks for high pass filter?
The Transfer Function (for physical frequencies) of STC networks for high pass filter will give transfer function of a particular STC network at a given physical frequency, w and is represented as T(jw) = (µ/(1+(Rs/Ri))*(1+(Ro/Rl)))/(1-(wₒ/w)) or trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1-(wₒ stc/w stc)). Gain factor of an amplifier is the factor by which the input power is amplified, Source resistance is the value of internal resistance of source, Input resistance is the resistance value of the voltage amplifier, Output resistance is the value of resistance of the network, Load resistance is the resistance value of load given for the network, wₒ stc is the frequency of the STC network and w stc is the frequency at which magnitude and phase angle has to be calculated.
How to calculate Transfer Function (for physical frequencies) of STC networks for high pass filter?
The Transfer Function (for physical frequencies) of STC networks for high pass filter will give transfer function of a particular STC network at a given physical frequency, w is calculated using trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1-(wₒ stc/w stc)). To calculate Transfer Function (for physical frequencies) of STC networks for high pass filter, you need Gain factor (µ), Source resistance (Rs), Input resistance (Ri), Output resistance (Ro), Load resistance (Rl), wₒ stc (wₒ) and w stc (w). With our tool, you need to enter the respective value for Gain factor, Source resistance, Input resistance, Output resistance, Load resistance, wₒ stc and w stc and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate transfer function?
In this formula, transfer function uses Gain factor, Source resistance, Input resistance, Output resistance, Load resistance, wₒ stc and w stc. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • power_gain = voltage gain*current gain
  • transfer_func = Gain factor*Input capacitance*Source resistance*Input resistance/((1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))*(Source resistance+Input resistance)*(Input capacitance*Source resistance*Source resistance+Source resistance+Input resistance))
  • transfer_func = Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))*(1+(Input capacitance*Input resistance*Source resistance/(Source resistance+Input resistance)))
  • trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1+(w stc/wₒ stc))
  • trans_func_p = (Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance)))/(1-(wₒ stc/w stc))
  • magnitude_response = (modulus(Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))))/sqrt(1+(w stc/wₒ stc)^2)
  • magnitude_response = (modulus(Gain factor/(1+(Source resistance/Input resistance))*(1+(Output resistance/Load resistance))))/sqrt(1+(wₒ stc/w stc)^2)
  • output_signal = Power gain*input signal
  • power_delivered = (Positive dc voltage*Positive dc current)+(Negative dc voltage*Negative dc current)
  • amplifier_power_efficiency = 100*power delivered to load/dc power delivered to the amplifier
Where is the Transfer Function (for physical frequencies) of STC networks for high pass filter calculator used?
Among many, Transfer Function (for physical frequencies) of STC networks for high pass filter calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!