Resistors in Series Resistors connected at a single node Current through each resistor is the same ECE 201 Circuit Theory I

Identify the current in each Resistor Apply KCL at each node a b c d e f g ECE 201 Circuit Theory I

Redraw using a single current ECE 201 Circuit Theory I

To solve for the current, write KVL ECE 201 Circuit Theory I

Simplified version of the circuit ECE 201 Circuit Theory I

From a “black box” point of view These circuits are “equivalent” Same current drawn from the source ECE 201 Circuit Theory I

Summary Resistors in series have the same current The resistors can be replaced by an “equivalent” resistance equal to the sum of the individual resistors The “equivalent” resistance is larger than the largest of the individual resistors ECE 201 Circuit Theory I