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Parallel Circuits – Chapter 5. A parallel circuit provides more than one current path between any two points. Each current path in a parallel circuit is referred to as a branch. Two Branches Three Branches. How many branches?. Parallel Circuit Characteristics.
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Parallel Circuits – Chapter 5 • A parallel circuit provides more than one current path between any two points. • Each current path in a parallel circuit is referred to as a branch. Two Branches Three Branches How many branches?
Parallel Circuit Characteristics • Voltage and Current Values • Voltage is the same across all components (a) No parallel branches (b) V1 = V2 = VS
Parallel Circuit Characteristics • Current Characteristics • Source current is the sum of all branch currents where In = the current through the nth branch in the circuit
The total current in the circuit is IT = I1 + I2 + I3 IT = 5mA + 10mA + 20mA = 35mA
Parallel Circuit Characteristics • Voltage and Current Values • Current through each branch is determined by the source voltage and the resistance of the branch.
TEAM ACTIVITY Use Ohm’s law to calculate the resistance in each branch.
TEAM ACTIVITY Use Ohm’s law to calculate the total resistance.
TEAM ACTIVITY Calculate
Special Case – Equal Resistances • When any number of equal resistances are connected in parallel, the total resistance is equal to the value of one resistor divided by the number of branches Shorthand notation for parallel
Special Case – Equal Resistances Shorthand notation for parallel
Adding Additional Branches • The addition of a parallel branch decreases the resistance of the circuit • single branch in (a) draws 5mA from the source • additional branch in (b) increases the current drawn from the source to 10mA
TEAM ACTIVITY Determine the branch currents and the total current for each circuit. Check with MultiSim.