Time Constant of STC Network Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time Constant = Load Inductance/Load Resistance
τ = LH/RL
This formula uses 3 Variables
Variables Used
Time Constant - (Measured in Second) - Time Constant of the response represents the elapsed time required for the system response to decay to zero if the system had continued to decay at the initial rate in amplifiers.
Load Inductance - (Measured in Henry) - Load Inductance refers to the inherent property of a load to resist changes in the electric current passing through it by inducing a magnetic field due to its inductance, often measured in henries.
Load Resistance - (Measured in Ohm) - Load Resistance is defined as the opposition faced by the current flowing through the load terminal of an amplifier based circuit.
STEP 1: Convert Input(s) to Base Unit
Load Inductance: 9.25 Henry --> 9.25 Henry No Conversion Required
Load Resistance: 4.5 Kilohm --> 4500 Ohm (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τ = LH/RL --> 9.25/4500
Evaluating ... ...
τ = 0.00205555555555556
STEP 3: Convert Result to Output's Unit
0.00205555555555556 Second -->2.05555555555556 Millisecond (Check conversion ​here)
FINAL ANSWER
2.05555555555556 2.055556 Millisecond <-- Time Constant
(Calculation completed in 00.004 seconds)

Credits

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Created by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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STC Filter Calculators

Magnitude Response of STC Network for High-Pass Filter
​ LaTeX ​ Go Magnitude Response of High Pass Filter = (modulus(DC Gain))/(sqrt(1-(Pole Frequency High Pass/Total Pole Frequency)^2))
Magnitude Response of STC Network for Low-Pass Filter
​ LaTeX ​ Go Magnitude Response of Low-Pass Filter = (modulus(DC Gain))/(sqrt(1+(Total Pole Frequency/Pole Frequency High Pass)^2))
Phase Response Angle of STC Network for High-Pass Filter
​ LaTeX ​ Go Phase Angle of STC = arctan(Pole Frequency High Pass/Total Pole Frequency)
Time Constant of STC Network
​ LaTeX ​ Go Time Constant = Load Inductance/Load Resistance

Time Constant of STC Network Formula

​LaTeX ​Go
Time Constant = Load Inductance/Load Resistance
τ = LH/RL

How can you define 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 Time Constant of STC Network?

Time Constant of STC Network calculator uses Time Constant = Load Inductance/Load Resistance to calculate the Time Constant, Time Constant of STC Network determines the speed at which the circuit's voltage or current changes in response to a disturbance, involving the product of resistance and capacitance or inductance. Time Constant is denoted by τ symbol.

How to calculate Time Constant of STC Network using this online calculator? To use this online calculator for Time Constant of STC Network, enter Load Inductance (LH) & Load Resistance (RL) and hit the calculate button. Here is how the Time Constant of STC Network calculation can be explained with given input values -> 0.002056 = 9.25/4500.

FAQ

What is Time Constant of STC Network?
Time Constant of STC Network determines the speed at which the circuit's voltage or current changes in response to a disturbance, involving the product of resistance and capacitance or inductance and is represented as τ = LH/RL or Time Constant = Load Inductance/Load Resistance. Load Inductance refers to the inherent property of a load to resist changes in the electric current passing through it by inducing a magnetic field due to its inductance, often measured in henries & Load Resistance is defined as the opposition faced by the current flowing through the load terminal of an amplifier based circuit.
How to calculate Time Constant of STC Network?
Time Constant of STC Network determines the speed at which the circuit's voltage or current changes in response to a disturbance, involving the product of resistance and capacitance or inductance is calculated using Time Constant = Load Inductance/Load Resistance. To calculate Time Constant of STC Network, you need Load Inductance (LH) & Load Resistance (RL). With our tool, you need to enter the respective value for Load Inductance & Load Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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