Series Resistors: If resistors are connected in series with each other, that is if they share the same node back-to-back exclusively, than the sum of their resistance values is the equivalent resistance and both resistors can be replaced by the equivalent resistor.
- Req = R1 + R2 + ....... + Rn
Parallel Resistors: If resistors are connected in parallel with each other, that is if both ends of the resistors share the same node exclusively, than their equivalent resistance is the product of both resistances divided by the sum of the resistances.
- Req = (R1)(R2) / (R1 + R2)
Voltage Division: If the voltage across resistor n is to be found, the value of that resistor is divided by the sum of the resistors in series and then multiplied by the voltage source.
- Vn = [Rn / (R1 + R2 + ... + Rn)] * V
Current Division: for resistors in parallel the total current is split between the resistors. The value of current through each resistor (in parallel) is proportional to their resistances. Current travels through the path of least resistance, so the resistor that has a lower resistance will have a larger current flow through it.
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