wetlife said:Homework Statement
What causes integration of V_{in} within an RC circuit?
Homework Equations
Z= R + X_C
= R - j/(ωC)
Z is the impedance of the circuit, j=(-1)^.5, ω is angular frequency, and C is the capacitance.
The Attempt at a Solution
I think integration is the capacitor's way of "remembering" how much energy it has to put back into the circuit.
An RC circuit is a circuit that consists of a resistor and a capacitor connected in series or parallel. It is commonly used in electronic circuits to control the flow of electrical current.
An RC circuit integrates by storing energy in the capacitor and then releasing it through the resistor. The capacitor charges up to the voltage of the power supply and then discharges through the resistor, creating a smooth, continuous flow of current.
Integrating an RC circuit is useful for smoothing out electrical signals, filtering out unwanted frequencies, and creating time delays in electronic circuits.
The time constant of an RC circuit is the amount of time it takes for the capacitor to charge up to 63.2% of the power supply voltage. It is calculated by multiplying the resistance (R) and capacitance (C) values of the circuit.
The output voltage of an RC circuit can be calculated using the formula Vout = Vin * (1 - e^(-t/RC)), where Vin is the input voltage, t is the time in seconds, R is the resistance in ohms, and C is the capacitance in farads.