In a Non-Inverting Schmitt Trigger, Find the Vref, Vutp, Vltp.
±VS = ±10 V, R1 = 20 kΩ and R2=100 kΩ
In a Non-Inverting Schmitt Trigger circuit, the reference voltage (Vref) can be determined using the voltage divider formula. The voltage divider consists of R1 and R2.
Vref = VS * (R2 / (R1 + R2))
= 10 * (100000 / (20000 + 100000))
= 10 * (100000 / 120000)
= 10 * 0.8333
= 8.333 V
The upper threshold voltage (Vutp) of the Schmitt trigger circuit is the voltage at which the output switches from high to low. It can be calculated by adding Vref to the positive threshold voltage (Vt+).
Vutp = Vref + Vt+
= 8.333 + (1/3) * (10 - 8.333)
= 8.333 + (1/3) * 1.667
= 8.333 + 0.5556
= 8.888 V
The lower threshold voltage (Vltp) of the Schmitt trigger circuit is the voltage at which the output switches from low to high. It can be calculated by subtracting the positive threshold voltage (Vt+) from Vref.
Vltp = Vref - Vt+
= 8.333 - (1/3) * (10 - 8.333)
= 8.333 - (1/3) * 1.667
= 8.333 - 0.5556
= 7.777 V
Therefore, the Vref is 8.333 V, the Vutp is 8.888 V, and the Vltp is 7.777 V.
To find the reference voltage (Vref) and the upper and lower threshold voltages (Vutp and Vltp) in a non-inverting Schmitt trigger, we can use the following formulas:
Vref = Vout_high_threshold - Vout_low_threshold
Vutp = Vref + Vout_low_threshold
Vltp = Vref + Vout_high_threshold
In a non-inverting Schmitt trigger, the output high threshold voltage (Vout_high_threshold) is given by:
Vout_high_threshold = +VS * (1 - R2/(R1 + R2))
Substituting the given values, we have:
Vout_high_threshold = +10 V * (1 - 100kΩ/(20kΩ + 100kΩ))
= +10 V * (1 - 0.8333)
= +10 V * (0.1667)
= +1.667 V
The output low threshold voltage (Vout_low_threshold) is the negative of the output high threshold voltage, so:
Vout_low_threshold = - Vout_high_threshold
= - (+1.667 V)
= -1.667 V
Now we can find the reference voltage (Vref):
Vref = Vout_high_threshold - Vout_low_threshold
= 1.667 V - (-1.667 V)
= 1.667 V + 1.667 V
= 3.334 V
Finally, we can find the upper threshold voltage (Vutp):
Vutp = Vref + Vout_low_threshold
= 3.334 V + (-1.667 V)
= 3.334 V - 1.667 V
= 1.667 V
And the lower threshold voltage (Vltp):
Vltp = Vref + Vout_high_threshold
= 3.334 V + 1.667 V
= 5.001 V
Therefore, in this non-inverting Schmitt trigger with ±VS = ±10 V, R1 = 20 kΩ, and R2 = 100 kΩ, the reference voltage (Vref) is 3.334 V, the upper threshold voltage (Vutp) is 1.667 V, and the lower threshold voltage (Vltp) is 5.001 V.