As indicated above the "loads" in a circuit can be represented by
charactersitic resistances (resistors). These resistors can be
connected "in series", "in parallel" or some combination of the two.
A resistor in a circuit is represented by the symbol
The current source (battery) is represented by the symbol
Resistors in series.
When resistors are connected in series the same current passes through each resistor. The potential difference (voltage) across each resistor will typically be different; the sum of the potential differences being that of the p.d. of the battery in the circuit.
As far as the current (and power) provided by the battery is concerned, the three resistors in the above circuit can be replaced by an equivalent resistance, Req given by,
Req = R1 + R2 + R3
Resistors in parallel.
When resistors are connected in parallel the potential difference (voltage) across each resistor is the same. The current through each resistor will typically be different; the sum of the currents being equal to the net current provided by the battery.
As far as the current (and power) provided by the battery is concerned, the three resistors in the above circuit can be replaced by an equivalent resistance, Req given by,
Combination circuits.
In some circuits the resistors are connected in a combination of series and parallel. For example in the circuit below R1 and R 2 are connected in parallel with each other as are R4 and R5 . The equivalent resistance of each of these two parallel combinations is then connected in series with R3.
Other circuits.
There are some circuits which cannot be reduced to series and/or parallel combinations. These circuits may have multiple batteries, multiple resistors and multiple loops, see for example below. They can be analysed by use of Kirchoff's laws, but this is beyond the scope of this course.
"Physics is not a
religion. If it were, we'd have a much
easier time raising money"
Leon Lederman
Dr. C. L. Davis
Physics Department
University of Louisville
email: c.l.davis@louisville.edu