Capacitive displacement transducers are devices used to o measure small displacements by detectin changes in capacitaxe. Te output voltage of these transducers devices on various parametrs, including thee geometrie of thee capacitor and thee applied voltage. This article provides a step- by- step guide to calculating thee output voltage in such systems.

Understanding te Basic Principles

Te core principla of a capacitive dispacitement transducer involves a change in capacitance caused by displacement. When the movable plate shifts, thee distance between een plates varies, altering the capacitance. This change can be converted into a measurable voltage signal.

Calculating Capacitance Change

Te capacitance of a paralel plate capacitor is givek by:

CLAS1; CLAS1; CLAS3; CLAS3; C = ε CLAS31; CLAS1; CLAS1; CLAS1; CLAS33;

Where:

  • CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3OF; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; is the permittivity of free space
  • CLANE1; CLANE1; CLANE1; CLANE3; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; is the area of the plates
  • CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; is the distance between thee plates

Dispacement causes a change in In I1; FLT: 0 CLAS3; CLAS3; d CLAS1; CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS3; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS3;).

Converting Capacitance Change to Voltage

To je to, co je v tomto případě důležité.

CLAS1; CLAS1; CLAS3; CLAS3; V _ out = (Q / C) * R CLAS1; CLAS1; CLAS1; CLAS3; CLAS33;

Where:

  • CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; CLANE1; CLANE1; CLANE3; CLANE3; is the charge applied to thee capacitor
  • CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; R CLANE1; CLANE1; CLANE3; CLANE3; is the feedbackové resistor in the circuit

Final Calculation Steps

1. Určete, zda je kapacita inicial (CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS31; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS3; CLAS3;) at that e reference position.

2. Measure or calculate te change in capacitance (CLAS1; CLAS1; FLT: 0 CLAS3; CLAS3; ΔC CLAS1; CLAS1; CLAS1; CLAS3;) due to displacement.

3. Use the circuit parametrs (Q and R) to find the output voltage (CLAS1; CLAS1; CLAS1; CLAS3; CLAS3; V _ out CLAS1; CLAS1; CLAS1; CLAS3;).

This process allows precise measurement of displacement by translating capacitance changes into voltage signals.