Parallel Circuits

  • Parallel Circuits have multiple current paths

  • Removal of a circuit element may allow other branches of the circuit to continue operating

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Combination Series-Parallel Circuits

  • A circuit doesn't have to be completely serial or parallel

  • First, look for portions of the circuit with parallel elements.

  • Replace parallel resistors with an equivalent single resistor

  • Work back to original circuit using KCL and KVL until you know the current, voltage, and resistance of each individual circuit element

  • Often times will lead to systems of equations to solve

Example 1: Two Voltage Sources

  • Find the current flowing through R3 if R3 has a value of 6 ohms. What is the power dissipated in R3?

    8 12 v R3 12 Trz 16 v —ız 141-, gr, z 16 0•-3 : -qzr, 2-36 @ 6rı Z 16 17rz zız."”' SS6A

Batteries

  • A cell or battery (combination of cells) provides a potential difference, oftentimes referred to as an electromotive force or emf.

  • A battery can be thought of as a pump for charge, raising it from a lower potential to a higher potential

  • Ideal batteries have no resistance

  • C:\\266298A5\\73477446-49B2-471B-AFDD-BCD03931DCDD\_files\\image262.png

  • In real batteries, the terminal voltage is slightly lower than the battery's emf

    C:\\266298A5\\73477446-49B2-471B-AFDD-BCD03931DCDD\_files\\image263.png

Ideal Battery

ΔΙ) E-'l.)-t

Real Battery

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