Circuits
Jul 21, 2015
3 light bulbs connected to
a battery in a parallel circuit.
The same parallel circuit
as a circuit diagram.
Twice as many cars can travel on a double road, three times as
many on a three-lane road and so on.
One could say that these two roads are parallel to each other in
that there is more than one path for the cars to follow.
This analogy can be applied to parallel circuits.
Rules for Parallel Circuits
1. The voltage is equal across all components in the circuit.
All components share the same voltage. The voltage drops
of each branch equals the voltage rise of the source.
The voltage across R1 is equal to the voltage across R2 which
is equal to the voltage across R3 which is equal to the voltage
across the battery.
As with series circuits, the sum of the potential differences
across the resistor in a loop is equal to the total input
voltage. (Kirchoff’s voltage Law)
2. The current divides into separate branches such that the
current can be different in every branch.
The total current is equal to the sum of the individual
branch currents.
It is still the same
amount of current,
only split up into more
than one pathway.
Kirchhoff's Current Law
The sum of the currents entering a junction is
equal to the sum of the currents leaving the
junction.
In this example you will notice 8 Amps and 1 Amp entering
the junction while 7 Amps and 2 Amps leave. This makes a
total of 9 Amps entering and 9 Amps leaving.
A B
The current going into
The junction equals
7 amps (1A + 2A + 4A).
The current leaving the
Junction is 7 amps (7A)
The current entering the
junction is 6 amps ( 5A + 1A).
The current leaving the
Junction is 6 amps (4A + 2A)
The diagram above represents current flowing in
branches of an electric circuit. What is the current
at point B? 13 A
3. When resistors are connected in parallel, the
total resistance of the circuit decreases.
The more branches you add to a parallel circuit, the lower
the total resistance becomes.
4. The total resistance of a parallel circuit is always
less than the value of the smallest resistor.
Formula for Total Parallel Resistance
The inverse of the total resistance of the circuit (also called
effective or equivalent resistance) is equal to the sum of the
inverses of the individual resistances.
For 2 resistors,
RT = R1 x R2
R1 + R2
which means…
Power In Parallel Circuits
Total power in a parallel circuit is found by adding up
the powers of all the individual resistors, the same
as for series circuits.
Connecting lights and appliances in parallel makes them operate
independently. If one goes off, the other can still operate.
measuring currentSERIES CIRCUIT
PARALLEL CIRCUIT
• current is the same
at all points in the
circuit.
2A 2A
2A
• current is shared
between the components
2A2A
1A
1A
The circuit is no longer complete, therefore current can not flow
The voltage decreases because the current is decreased
and the resistance increases.
The current remains the same. The total resistance drops in a
parallel circuit as more bulbs are added
The current increases.
measuring current
Electric current is measured in amps (A) using
an ammeter connected in series in the circuit.
A
measuring voltage
The ‘electrical push’ which the cell gives to the current
is called the voltage. It is measured in volts (V) on a
voltmeter
V