Calculate the hysteresis width (in Volts) for an inverting Schmitt tri...
For a inverting Schmitt trigger.
Given: β=0.5, Vcc = 10V
Hysteresis Voltage VH = VUT - VLT
VUT = +β x Vcc
VLT = -β x Vcc
VH = 2 x β x Vcc
VH = 2 x 0.5 x 10
VH = 10V
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Calculate the hysteresis width (in Volts) for an inverting Schmitt tri...
To calculate the hysteresis width of an inverting Schmitt trigger, we need to consider the feedback fraction and the supply voltage. The hysteresis width is the voltage difference between the upper and lower threshold voltages.
The upper threshold voltage (VUT) is the voltage at which the output of the Schmitt trigger switches from high to low. The lower threshold voltage (VLT) is the voltage at which the output switches from low to high.
Let's assume that the input voltage is increasing from a low value. Initially, the output of the Schmitt trigger is low, and the input voltage starts to increase. When the input voltage reaches the upper threshold voltage (VUT), the output switches from low to high.
The upper threshold voltage can be calculated using the feedback fraction (β) and the supply voltage (Vcc). The formula for VUT is as follows:
VUT = β * Vcc
Similarly, when the input voltage decreases, the output switches from high to low when it reaches the lower threshold voltage (VLT). The lower threshold voltage can be calculated using the formula:
VLT = (1 - β) * Vcc
The hysteresis width (HW) is the difference between VUT and VLT:
HW = VUT - VLT
Substituting the formulas for VUT and VLT, we have:
HW = β * Vcc - (1 - β) * Vcc
Simplifying the expression, we get:
HW = 2 * β * Vcc - Vcc
Since the supply voltage (Vcc) is given as 10V and the feedback fraction (β) is given as 0.5, we can substitute these values into the expression:
HW = 2 * 0.5 * 10V - 10V
= 10V - 10V
= 0V
Therefore, the hysteresis width is 0V, which means there is no hysteresis in this case.
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