1. Engr 16 Lec 2-1 Review & Short Cuts
              
Engr 16 Today’s Topics
Component Voltage & Branch Current Example
rref() on calculator
Parallel & Series Circuits
Equivalent Resistance
Voltage and Current Dividers

2. Circuit Analysis Example
              
Circuit Analysis Example
Using Branch Currents
and Component Voltages
Focus on Set-up
Solve with RREF
Reduced Row Echelon Format
2x + y = 5
x + y = 4
x = 1
y = 3
rref([2,1,5;1,1,4])

3. Engr 16 Lec 2-1 Review & Short Cuts
Parallel and Series
Series – components have same current (one finger test, electrons have no choice)
Parallel – components have same voltage (two finger test)

4. Equivalent Resistance
Engr 16 Lec Review & Short Cuts
Equivalent Resistance
Series: Req = R1 + R2 + R3…
Parallel: 1/Req = 1/R1 + 1/R2 + 1/R3…
Req = (R1*R2)/(R1 + R2)

5. Voltage and Current Dividers
Engr 16 Lec Review & Short Cuts
Voltage and Current Dividers
Series: V1 = R1/(R1 + R2) * Vtot
V2 = R2/(R1 + R2) * Vtot
bigger resistor gets bigger share of voltage
Parallel: I1 = R2/(R1 + R2) * Itot
I2 = R1/(R1 + R2) * Itot
bigger resistor gets smaller share of current