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| They describe the voltage drop associated with current crossing a resistor, according to [http://en.wikipedia.org/wiki/Ohm's_law Ohm's Law]. As such, there is one equation per resistor in the circuit. | | They describe the voltage drop associated with current crossing a resistor, according to [http://en.wikipedia.org/wiki/Ohm's_law Ohm's Law]. As such, there is one equation per resistor in the circuit. |
| | | |
− | * <math>R_1</math>: <math>V_b - I_1 \cdot R_1 = V_1</math> | + | * <math>R_1</math>: <math>V_b - I_1 \!\cdot\! R_1 = V_1</math> |
− | * <math>R_2</math>: <math>V_2 - I_2 \cdot R_2 = 0</math> | + | * <math>R_2</math>: <math>V_2 - I_2 \!\cdot\! R_2 = 0</math> |
− | * <math>R_3</math>: <math>V_4 - I_3 \cdot R_3 = V_3</math> | + | * <math>R_3</math>: <math>V_4 - I_3 \!\cdot\! R_3 = V_3</math> |
− | * <math>R_4</math>: <math>V_3 - I_4 \cdot R_4 = 0</math> | + | * <math>R_4</math>: <math>V_3 - I_4 \!\cdot\! R_4 = 0</math> |
− | * <math>R_5</math>: <math>V_5 - I_5 \cdot R_5 = V_4</math> | + | * <math>R_5</math>: <math>V_5 - I_5 \!\cdot\! R_5 = V_4</math> |
− | * <math>R_6</math>: <math>V_c - I_6 \cdot R_6 = V_5</math> | + | * <math>R_6</math>: <math>V_c - I_6 \!\cdot\! R_6 = V_5</math> |
− | * <math>R_7</math>: <math>V_c - I_7 \cdot R_7 = V_7</math> | + | * <math>R_7</math>: <math>V_c - I_7 \!\cdot\! R_7 = V_7</math> |
− | * <math>R_t</math>: <math>V_{out} - I_t \cdot R_t = 0</math> | + | * <math>R_t</math>: <math>V_{out} - I_t \!\cdot\! R_t = 0</math> |
| | | |
| === Node charge flow === | | === Node charge flow === |
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| : <math>\sum I = 0</math> | | : <math>\sum I = 0</math> |
| or alternately | | or alternately |
− | : <math>\sum I_\mbox{into node} = \sum I_\mbox{out of node}</math>. | + | : <math>\sum I_{into} = \sum I_{out}</math>. |
| + | There is one such equation per node, and each node already is labeled on the above diagram by the voltage at that point; thus there is one equation per voltage. Additionally, each transistor acts as a node. |
| + | |
| + | * <math>V_1</math>: <math>I_1 = I_{in} + h_1</math> |
| + | * <math>V_2</math>: <math>I_{in} = I_2 + h_2</math> |
| + | * <math>V_3</math>: <math>I_3 + h_2 = I_4 + j_b</math> |
| + | * <math>V_4</math>: <math>I_5 + k_b = I_3 + j_c</math> |
| + | * <math>V_5</math>: <math>I_6 = I_5 + h_3</math> |
| + | * <math>V_7</math>: <math>I_7 = I_t + k_e</math> |
| + | * <math>T_1</math>: <math>I_b + j_c = j_e</math> |
| + | * <math>T_2</math>: <math>k_e = k_b + k_c</math> |