Understanding the V(in)=V(max).sin(wt) Formula for DC Smoothing Circuits

In summary, the formula V(in)=V(max).sin(wt) represents a voltage that changes over time in a sinusoidal manner with an amplitude of V(max). The angular frequency w or cycle frequency f=2*pi*w determines the rate at which the voltage changes. This formula is commonly used in calculating the time at which a waveform reaches V(min) in a dc smoothing circuit with a typical power supply.
  • #1
Sparkyian
9
0
Can someone please explain to me in brief detail as to what each expression means for the given formula:-

V(in)=V(max).sin(wt)

and to how this formula works? It is a formula that has been given to me in order to work out time at which a waveform=V(min) for a dc smoothing circuit with a typical power supply.
 
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  • #2
V(in) is a voltage that changes with time. It changes with time in a sinusoidal fashion, with an amplitude of V(max). The angular frequency is w (units: radians/second) or a cycle frequency f=2*pi*w (units: cycles/second or Hz).
 
  • #3
Thank you very much, I now understand.
 

Related to Understanding the V(in)=V(max).sin(wt) Formula for DC Smoothing Circuits

1. What does the V(in)=V(max).sin(wt) formula represent?

The V(in)=V(max).sin(wt) formula represents the voltage output of a DC smoothing circuit at any given time. It is used to calculate the voltage across a capacitor in the circuit.

2. How is the V(in)=V(max).sin(wt) formula derived?

The V(in)=V(max).sin(wt) formula is derived from the principles of sinusoidal waveforms and the behavior of capacitors in a DC circuit. It takes into account the maximum voltage input (V(max)) and the angular frequency (w) of the input voltage.

3. How does the V(in)=V(max).sin(wt) formula affect the output of a DC smoothing circuit?

The V(in)=V(max).sin(wt) formula is used to smooth out the output voltage of a DC circuit, reducing any fluctuations or ripple in the signal. This results in a more steady and stable output voltage.

4. Can the V(in)=V(max).sin(wt) formula be used for AC smoothing circuits as well?

Yes, the V(in)=V(max).sin(wt) formula can be used for both DC and AC smoothing circuits. However, for AC circuits, the value of V(max) will constantly change as the input voltage varies, resulting in a varying output voltage.

5. How can the V(in)=V(max).sin(wt) formula be applied in practical circuits?

The V(in)=V(max).sin(wt) formula is commonly used in circuits that require a stable and regulated output voltage, such as power supplies. It is also used in audio circuits to filter out any unwanted noise in the signal.

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