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so the capacitor equation can be linearized as
so the capacitor equation can be linearized as
: <math>I = i \omega C V\,\!</math>
: <math>I = i \omega C V\,\!</math>
where ω = 2πf. This equation works for both AC and DC cases, because in the DC case the derivative on the voltage eliminates any DC bias for the current, but &3969; = 0 so the equation still holds. There is one such equation for each capacitor.
where ω = 2πf. This equation works for both AC and DC cases, because in the DC case the derivative on the voltage eliminates any DC bias for the current, but ω = 0 so the equation still holds. There is one such equation for each capacitor.
* <math>C_1</math>: <math>h_1 = i \omega C_1 V_1</math>
* C<sub>1</sub> : h<sub>1</sub> = iωC<sub>1</sub>V<sub>1</sub>
* <math>C_2</math>: <math>h_2 = i \omega C_2 (V_2 - V_3)</math>
* C<sub>2</sub> : h<sub>2</sub> = iωC<sub>2</sub>(V<sub>2</sub> - V<sub>3</sub>)
* <math>C_3</math>: <math>h_3 = i \omega C_3 V_5</math>
* C<sub>3</sub> : h<sub>3</sub> = iωC<sub>3</sub>V<sub>5</sub>
* <math>C_5</math>: <math>I_t = i \omega C_5 (V_7 - V_{out})</math>
* C<sub>5</sub> : I<sub>t</sub> = iωC<sub>5</sub>(V<sub>7</sub> - V<sub>out</sub>)
=== Transistor current gain ===
=== Transistor current gain ===
One of the characteristic equations of a transistor is
One of the characteristic equations of a transistor is
: <math>I_c = \beta I_b</math>.
: <math>I_c = \beta I_b\,\!</math>.
There is one such equation associated with each transistor.
There is one such equation associated with each transistor.
* <math>T_1</math>: <math>j_c = \beta_1 \!\cdot\! j_b</math>
* T<sub>1</sub>: j<sub>c</sub> = β<sub>1</sub>j<sub>b</sub>
* <math>T_2</math>: <math>k_c = \beta_2 \!\cdot\! k_b</math>
* T<sub>2</sub>: k<sub>c</sub> = β<sub>2</sub>k<sub>b</sub>
=== Transistor exponential response ===
=== Transistor exponential response ===