Consider Op-Amp biasing voltage as ±15V. The threshold voltages for Schmitt trigger is :

Explanation:

Schmitt Trigger Threshold Voltages

Definition: A Schmitt trigger is an electronic circuit with hysteresis implemented by applying positive feedback to a comparator or differential amplifier. It is used to convert a noisy analog input signal into a clean digital output signal. The circuit is named after American scientist Otto H. Schmitt.

Working Principle: The Schmitt trigger operates with two threshold voltages: a higher threshold voltage (V_TH+) and a lower threshold voltage (V_TH-). When the input voltage exceeds V_TH+, the output switches to the high state. When the input voltage drops below V_TH-, the output switches to the low state. This hysteresis effect prevents the output from toggling rapidly between high and low states when the input signal is noisy or fluctuating around the threshold voltage.

Calculation of Threshold Voltages:

Given the Op-Amp biasing voltage as ±15V, the threshold voltages for the Schmitt trigger can be determined using the following formulas:

• V_TH+ = V_sat * (R₁ / (R₁ + R₂))
• V_TH- = -V_sat * (R₁ / (R₁ + R₂))

where V_sat is the saturation voltage of the Op-Amp, and R₁ and R₂ are the resistances in the feedback network.

In this case, the saturation voltage V_sat is ±15V. Assuming R₁ and R₂ are chosen such that the ratio (R₁ / (R₁ + R₂)) results in threshold voltages of -2V and 3V, we can verify the correct option:

• V_TH+ = 15V * (R₁ / (R₁ + R₂)) = 3V
• V_TH- = -15V * (R₁ / (R₁ + R₂)) = -2V

This confirms that the correct threshold voltages are -2V and 3V.

Correct Option Analysis:

The correct option is:

Option 1: -2V, 3V

This option correctly identifies the threshold voltages for the Schmitt trigger with the given Op-Amp biasing voltage of ±15V. The calculated threshold voltages match the values provided in this option, confirming its correctness.