Engr 16 Lec 2-1 Review & Short Cuts

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Presentation transcript:

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

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 2 1 5 1 1 4 1 0 1 0 1 3 rref([2,1,5;1,1,4])

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)

Equivalent Resistance Engr 16 Lec 2-1 Review & Short Cuts Equivalent Resistance Series: Req = R1 + R2 + R3… Parallel: 1/Req = 1/R1 + 1/R2 + 1/R3… Req = (R1*R2)/(R1 + R2)

Voltage and Current Dividers Engr 16 Lec 2-1 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