Analyzing Simple Circuits
Analyzing a Series Circuit:
- Find the equivalent (total) resistance, Rtotal, by
adding all the individual resistances in the circuit.
- Find the current in the circuit using Ohm's Law: I =
V/Rtotal.
- Find the voltage across each individual resistance using Ohm's
Law: V = IR.
- Check to be sure that the sum of all the voltage drops across
the individual resistances equals the source voltage.
Analyzing a Parallel Circuit:
- If any parallel branch contains more than one resistance, find
the equivalent (total) resistance in that branch by adding the
individual resistances.
- Find the current through each parallel branch using Ohm's Law:
I = V/Rbranch.
- Find the current through the voltage source by adding all the
currents through the individual branches.
- If any parallel branch contains more than one resistance, find
the voltage drop across each resistance using Ohm's Law: V =
IR.
Analyzing a Compound Circuit:
- If any parallel branch contains more than one resistance, find
the equivalent (total) resistance in that branch by adding the
individual resistances.
- Replace each set of parallel branches in the circuit with a
single equivalent (total) resistance.
- If the resistances in each branch are equal, then
the equivalent resistance is half of one of the branch
resistances.
- If the resistances in each branch are not equal, then
1/Requiv = 1/R1 + 1/R2 or
Requiv = (R1R2)
/(R1 + R2).
- Find the equivalent (total) resistance, Rtotal, in
the circuit by adding all of the series and equivalent
resistances.
- Find the current through the voltage source using Ohm's Law: I
= V/Rtotal.
- Find the current through each parallel branch.
- If the resistances in each branch are equal, then
the current through each branch is one-half the current in the
series part of the circuit.
- If the resistances in each branch are not equal, then find
the current through each branch using Ohm's Law: I = V/R.
- Find the voltage across each individual resistance and
parallel branch using Ohm's Law: V = IR.
- Check to be sure that the sum of all the voltage drops across
the individual series resistances and parallel branches equals the
source voltage.
- Check to be sure that the sum of the currents through each
parallel branch equals the voltage source current.
last update April 13, 2008 by JL
Stanbrough