# Parallel Circuits

• Parallel Circuits have multiple current paths

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

# 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?

# 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

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