How to Calculate Steady-State Voltage

Steady voltage is also referred as the settling voltage.
••• Jupiterimages/ Images

Voltage levels in time-varying circuits change over time. Time-varying means that the voltage ramps up exponentially until it reaches the steady-state voltage. For this reason, a circuit is said to be in a steady steady when the voltage ceases to change over time. In a simple resistor-capacitor (RC) circuit, consisting of a source voltage (Vs), a resistor (R) and a capacitor (C), the time it takes to reach a steady-state condition is determined by the value of R and C. Therefore, engineers can design circuits to reach steady state at a time of their choosing by adjusting the values of R and C.

    Determine the source voltage, or "Vs," as a power supply to your circuit. As an example, choose Vs to be 100 volts.

    Pick the value of the resistor, R, and the capacitor, C, for your circuit. R is in units of ohms and C is in units of microfarads. As an example, assume R is 10 ohms and C is 6 microfarads.

    Calculate the steady state voltage using the formula: V = Vs (1-e^-t/RC) where e^-t/RC is the exponent e to the negative power of t divided by RC. The variable t represents the elapsed time since Vs was turned on. For example:

    at t = 0 seconds RC = 10 x 0.000006 = 0.00006 t/RC = 0/ 0.00006 = 0 e^-t/RC = e^-0 = 1 V = 100 (1-1) = 100 (0) = 0 volts

    at t = 5 microseconds RC = 10 x 0.000006 = 0.00006 t/RC = 0.000005/ 0.00006 = 0.083 e^-t/RC = e^-0.083 = 0.92 V = 100 (1- 0.92) = 8 volts

    at t = 1 second RC = 10 x 0.000006 = 0.00006 t/RC = 1/ 0.00006 = 16666.7 e^-t/RC = e^-16666.7 = 0 (effectively) V = 100 (1-0) = 100 volts (steady state)

    In this example, the voltage increase from 0 at t = 0 to 100 volts at t = 1 second and it will remain at 100 as t increases. As a consequence, 100 volts is the steady-state voltage.

Related Articles

How to Calculate Instantaneous Voltage
How to Design an RC Snubber
How to Use a Variac
How to Calculate Voltage Regulation
How to Test an SCR With an Ohmmeter
How to Read Transistors
How to Solve Inequalities
How to Adjust Electrical Amperage
How to Calculate Amperage in a Series Circuit
How to Find the Period of a Function
What Is a Step Up Transformer?
How to Calculate Battery Watt-Hours
How to Convert Hertz to Motor Rpm
How to Reduce 12 Volt to 6 Volt
How to Calculate Thermocouple Sensitivity
How to Calculate the Value for the Vce in a Transistor
How to Find Equations of Tangent Lines
How to Calculate Electrical Winding Wires by Weight...
How to Calculate How Long a Battery Will Last

Dont Go!

We Have More Great Sciencing Articles!