Series-Parallel Combination Circuits

• If circuit components are series connected in some parts and parallel in others, we won't be able to apply a single set of rules to every part of teh circuit
• In a series-parallel circuit:

  • there exists more than one path for current to travel (not series)
  • there are more than two sets of electrically common points in the circuit (not parallel)
  • you can still use Ohm's Law to determine values within a vertical column
• What is the first step in the analysis technique for circuits?

  Assess which resistors in a circuit are connected together in a simple series or simple parallel configuration.
• Why do you redraw the circuit in the analysis technique?

  To replace each series or parallel resistor combination with a single, equivalent-value resistor.
• What should you do after redrawing the circuit with equivalent resistors?

  Repeat the assessment and redrawing steps until the entire circuit is reduced to one equivalent resistor.
• What formula is used to calculate total current in a circuit?

  I = E/R
• What do you do after calculating the total current and voltage values?

  Go back to the last step in the circuit reduction process and insert total voltage and current values where applicable.
• How do you calculate unknown values in the circuit?

  Use Ohm's Law, which states E = IR or I = E/R.
• What should you do after calculating unknown values in the original circuit configuration?

  Repeat the steps until all values for voltage and current are known.
• What can be calculated from known voltage, current, and/or resistance values?

  Power dissipations.
• What are the main steps in the circuit analysis technique?

  1. Assess resistor connections (series or parallel).
  2. Redraw the circuit with equivalent resistors.
  3. Repeat until one equivalent resistor remains.
  4. Calculate total current using $I =$$E/R$.
  5. Insert total voltage and current values.
  6. Use Ohm's Law to find unknown values.
  7. Repeat until all values are known.
  8. Calculate power dissipations.