https://file.aiquickdraw.com/mathbot/file/1727584725274302y3wmk.jpg

Make two separate equations, 1 to define Tperiod and the other to define Ton

From the image, two equations can be formed based on the provided information:

1. The equation for \( T_{\text{period}} \), which is the period of the square wave:
   \[
   T_{\text{period}} > 12\tau
   \]
   where \( \tau \) represents a characteristic time constant, and \( T_{\text{period}} \) is slightly greater than 12 times the largest \( \tau \).

2. The equation for \( T_{\text{on}} \), which is the pulse width of the square wave:
   \[
   T_{\text{on}} = \frac{T_{\text{period}}}{2}
   \]

Would you like more details or clarifications?

Here are 5 related questions:
1. What is the role of \( \tau \) in determining the square wave behavior?
2. How does \( T_{\text{on}} \) affect the duty cycle of the square wave?
3. What happens if \( T_{\text{on}} \) is not half of \( T_{\text{period}} \)?
4. How does changing \( T_{\text{period}} \) affect the frequency of the square wave?
5. How are these equations applied in practical circuits involving oscillators?

**Tip:** In waveforms, the relationship between period and frequency is inverse: \( f = \frac{1}{T} \), where \( f \) is the frequency and \( T \) is the period.

Understand how to define the period (T_period) and pulse width (T_on) of a square wave. This solution provides the equation T_period > 12τ, where τ is the time constant, and T_on = T_period / 2. Suitable for undergraduate students learning about waveforms and pulse width modulation.

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