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| The resistor voltage drop equations all take the form | | The resistor voltage drop equations all take the form |
− | : <math>\Delta V = IR</math> | + | : <math>\Delta V = IR\,\!</math> |
| or alternately | | or alternately |
− | : <math>V_\alpha - IR = V_\beta</math>. | + | : <math>V_\alpha - IR = V_\beta\,\!</math>. |
| 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. |
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− | * <math>R_1</math>: <math>V_b - I_1 \!\cdot\! R_1 = V_1</math> | + | * R<sub>1</sub>: V<sub>b</sub> - I<sub>1</sub>R<sub>1</sub> = V<sub>1</sub> |
− | * <math>R_2</math>: <math>V_2 - I_2 \!\cdot\! R_2 = 0</math> | + | * R<sub>2</sub>: V<sub>2</sub> - I<sub>2</sub>R<sub>2</sub> = 0 |
− | * <math>R_3</math>: <math>V_4 - I_3 \!\cdot\! R_3 = V_3</math> | + | * R<sub>3</sub>: V<sub>4</sub> - I<sub>3</sub>R<sub>3</sub> = V<sub>3</sub> |
− | * <math>R_4</math>: <math>V_3 - I_4 \!\cdot\! R_4 = 0</math> | + | * R<sub>4</sub>: V<sub>3</sub> - I<sub>4</sub>R<sub>4</sub> = 0 |
− | * <math>R_5</math>: <math>V_5 - I_5 \!\cdot\! R_5 = V_4</math> | + | * R<sub>5</sub>: V<sub>5</sub> - I<sub>5</sub>R<sub>5</sub> = V<sub>4</sub> |
− | * <math>R_6</math>: <math>V_c - I_6 \!\cdot\! R_6 = V_5</math> | + | * R<sub>6</sub>: V<sub>c</sub> - I<sub>6</sub>R<sub>6</sub> = V<sub>5</sub> |
− | * <math>R_7</math>: <math>V_c - I_7 \!\cdot\! R_7 = V_7</math> | + | * R<sub>7</sub>: V<sub>c</sub> - I<sub>7</sub>R<sub>7</sub> = V<sub>7</sub> |
− | * <math>R_t</math>: <math>V_{out} - I_t \!\cdot\! R_t = 0</math> | + | * R<sub>t</sub>: V<sub>out</sub> - I<sub>t</sub>R<sub>t</sub> = 0 |
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| === Node charge flow === | | === Node charge flow === |