What is the upper tripper point (UTP) of a comparator with hysteresis if R1 = 47 kÙ, R2 = 68 kÙ and the maximum positive output voltage is 10V?
To determine the upper tripper point (UTP) of a comparator with hysteresis, you need to calculate the voltage at which the comparator switches from its low state to its high state.
In this case, we can use the formula for the UTP of a comparator with hysteresis:
UTP = Vref * (1 + R2/R1)
Where:
- UTP is the upper trip point voltage
- Vref is the reference voltage provided to the comparator (which is the maximum positive output voltage in this case)
- R1 is the resistance connected to the inverting input of the comparator
- R2 is the resistance connected to the non-inverting input of the comparator
Given:
- R1 = 47 kΩ
- R2 = 68 kΩ
- The maximum positive output voltage is 10V
Substituting these values into the formula, we have:
UTP = 10V * (1 + 68kΩ/47kΩ)
To calculate the UTP, divide the resistance values:
UTP = 10V * (1 + 68/47)
Simplifying the expression within parentheses:
UTP = 10V * (1 + 1.4468)
Simplifying further:
UTP ≈ 10V * 2.4468
Calculating the final result:
UTP ≈ 24.468V
Therefore, the upper tripper point (UTP) of the comparator with the given values is approximately 24.468V.