physics-equationAvailable
Single-pole op-amp macro model
Finite open-loop gain, unity-gain bandwidth, and output resistance are assembled as a dynamic MNA branch.
Reference contract
| Field | Value | Description |
|---|---|---|
| differentiability | exact-ad | — |
| entity_dimension | global | — |
| latex | \tau\dot v_o+v_o-A_0(v_+-v_-)-R_o i_o=0,\quad\tau=\frac{A_0}{2\pi f_u} | — |
| mathml | <math display="block"><mrow><mi>tau</mi><mover><msub><mi>v</mi><mi>o</mi></msub><mo>.</mo></mover><mo>+</mo><msub><mi>v</mi><mi>o</mi></msub><mo>-</mo><msub><mi>A</mi><mn>0</mn></msub><mo>(</mo><msub><mi>v</mi><mo>+</mo></msub><mo>-</mo><msub><mi>v</mi><mo>-</mo></msub><mo>)</mo><mo>-</mo><msub><mi>R</mi><mi>o</mi></msub><msub><mi>i</mi><mi>o</mi></msub><mo>=</mo><mn>0</mn></mrow></math> | — |
| name | Single-pole op-amp macro model | — |
| section | governing-equation | — |
Finite open-loop gain, unity-gain bandwidth, and output resistance are assembled as a dynamic MNA branch.
Contract
| Property | Value |
|---|---|
| differentiability | exact-ad |
| entity_dimension | global |
| latex | \tau\dot v_o+v_o-A_0(v_+-v_-)-R_o i_o=0,\quad\tau=\frac{A_0}{2\pi f_u} |
| mathml | <math display="block"><mrow><mi>tau</mi><mover><msub><mi>v</mi><mi>o</mi></msub><mo>.</mo></mover><mo>+</mo><msub><mi>v</mi><mi>o</mi></msub><mo>-</mo><msub><mi>A</mi><mn>0</mn></msub><mo>(</mo><msub><mi>v</mi><mo>+</mo></msub><mo>-</mo><msub><mi>v</mi><mo>-</mo></msub><mo>)</mo><mo>-</mo><msub><mi>R</mi><mi>o</mi></msub><msub><mi>i</mi><mi>o</mi></msub><mo>=</mo><mn>0</mn></mrow></math> |
| name | Single-pole op-amp macro model |
| section | governing-equation |