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# Voltage and Current Division Rules - GUC

Voltage and Current Division Rules hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 1. Objectives To apply the Voltage and Current Division Rules . hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 2. Voltage Division For example, we know i = VTOTAL / (R1 + R2 + R3). so the Voltage over the first resistor is V1=i R1 = R1 VTOTAL / (R1 + R2 + R3). R1. v1 = V. R1 + R2 + R3. To find the Voltage over an individual resistance in series, take the total series Voltage and multiply by the individual resistance over the total resistance. hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 3. Example determine the Voltage across each resistor hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 4.

1 Dr.-Eng. Hisham El-Sherif Electronics and Electrical Engineering Department ELCT708: Electronics for Biotechnology Voltage and Current Division Rules

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### Transcription of Voltage and Current Division Rules - GUC

1 Voltage and Current Division Rules hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 1. Objectives To apply the Voltage and Current Division Rules . hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 2. Voltage Division For example, we know i = VTOTAL / (R1 + R2 + R3). so the Voltage over the first resistor is V1=i R1 = R1 VTOTAL / (R1 + R2 + R3). R1. v1 = V. R1 + R2 + R3. To find the Voltage over an individual resistance in series, take the total series Voltage and multiply by the individual resistance over the total resistance. hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 3. Example determine the Voltage across each resistor hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 4.

2 Example determine the Voltage across each resistor vs is =. R1 + R2. iS. R1. v1 = vs R1 + R2. iS. R2. v2 = vs R1 + R2. hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 5. Summary The source Voltage v is divided among the resistors in direct proportion to their resistances the larger the resistance, the larger the Voltage drop. This is called the principle of Voltage Division , In general If a Voltage divider has N resistors (R1,R2, .. , RN) in series with the source Voltage v, the nth resistor (Rn) will have a Voltage drop of hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 6. Current Division If we know the Current flowing into two parallel resistors, we can find out how the Current will divide up in one step.

3 V i1 =. R1. 1 R1 R 2 R2. i1 = i i1 = i R1 R1 + R2 R1 + R2. hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 7. Note that this differs slightly from the Voltage Division formula for series resistors R2 = 0 implies that i1 = 0, i2 = i. R2 = , that is, R2 is an open R2 , then Req = R1. hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 8. Example Find i1 and i2 in terms of is is = i1 + i2 is R1 R2. i1 i2. v1 = v2. i1 R1 = i2 R2. R1 R1 R2 + R1. i2 = i1 is = i1 + i1 = i1. R2 R2 R2. R2. i1 = is R1 + R2. R1. i2 = is R1 + R2. hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 9. Example Use Voltage and Current Division Rules to find Vo and io 6 3.

4 =2. 6+3. Step 1. Step 1. Step 2. hisham El-Sherif ELCT708: Electronics for Biotechnology Electronics and Electrical Engineering Department 10.