1. EGR 101 Introduction to Engineering I
Resistors in Series
Resistors connected at a single node
Current through each resistor is the same
EGR 101 Introduction to Engineering I

2. Identify the current in each Resistor Apply KCL at each node
a b c d e f g
EGR 101 Introduction to Engineering I

3. Redraw using a single current
EGR 101 Introduction to Engineering I

4. To solve for the current, write KVL
EGR 101 Introduction to Engineering I

5. Simplified version of the circuit
EGR 101 Introduction to Engineering I

6. From a “black box” point of view
These circuits are “equivalent”
Same current drawn from the source
EGR 101 Introduction to Engineering I

7. EGR 101 Introduction to Engineering 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
EGR 101 Introduction to Engineering I