hilman said:Vo(t) = E(e^(-t/RC)),
An RC circuit is a type of electrical circuit that is composed of a resistor (R) and a capacitor (C) connected in series or parallel. The resistor controls the flow of current in the circuit, while the capacitor stores and releases electrical energy. When connected to a power source, the capacitor charges up to the same voltage as the source, and then gradually discharges through the resistor. This process repeats itself, creating a series of pulses or waves.
Pulse width is the duration of time in which the voltage or current in an RC circuit rises from 0% to 100% of its maximum value. In other words, it is the time it takes for the capacitor to charge up to the same voltage as the power source. The pulse width is directly proportional to the values of the resistor and capacitor in the circuit. A larger resistor or capacitor will result in a longer pulse width, while a smaller resistor or capacitor will produce a shorter pulse width.
The formula for calculating pulse width in an RC circuit is: t = 1.1 x R x C, where t is the pulse width in seconds, R is the resistance in ohms, and C is the capacitance in farads. This formula assumes that the capacitor has been charged to approximately 63% of its maximum voltage.
Changing the values of the resistor and capacitor in an RC circuit will directly affect the pulse width. A larger resistor or capacitor will result in a longer pulse width, while a smaller resistor or capacitor will produce a shorter pulse width. This is because a larger resistor will slow down the charging and discharging process of the capacitor, while a larger capacitor will take longer to charge up to the same voltage as the power source.
RC circuits and pulse width have many practical applications in electronics and technology. They are commonly used in timing circuits, oscillators, and filters. In addition, pulse width modulation (PWM) is a technique that uses RC circuits to control the amount of power delivered to a circuit, making it useful for applications such as motor speed control and LED brightness control. RC circuits are also used in audio and radio frequency circuits, as well as in electronic instruments and equipment for measuring and testing purposes.