in Inverting Schmitt Trigger, Given R2=10kΩ, Vref=4.5V and the output saturation voltage of the op-amp is 9V. Determine the value of R1 to achieve a hysteresis band of 3.0V. Express your answer in kohms

Answer 1

The hysteresis band for an inverting Schmitt trigger is given by the formula:

H = (R1 + R2) * (Vref / Vsat)

Where:
H = Hysteresis band
R1 = resistance connected between the inverting input and the output of the op-amp
R2 = feedback resistance connected between the non-inverting input and the output of the op-amp
Vref = reference voltage
Vsat = output saturation voltage of the op-amp

Plugging in the given values:
H = 3.0V
R2 = 10kΩ
Vref = 4.5V
Vsat = 9V

Rearranging the equation to solve for R1:

R1 = (H * Vsat) / (Vref) - R2

Substituting the values:

R1 = (3.0V * 9V) / (4.5V) - 10kΩ

R1 = (27V^2) / (4.5V) - 10kΩ

R1 = 6kΩ - 10kΩ

R1 = -4kΩ

Since the resistance value cannot be negative, it seems there might be an error in the given parameters or calculations. Please double-check the given values and ensure the calculations are correct.