Parallel-connected resistors
In any parallel circuit, shown Fig.
We can summarize these statements follows.3)
Let call the total resistance RT. 5.2, the same voltage acts across all
branches the circuit.2, will equal the total cur-
rent IT.Basic Electrical Installation Work
104
R1
R2
R3
IT
I1
I2
I3
V
FIGURE 5.
Now, since common all terms the equation, can divide both
sides the equation This will cancel out leave with expres-
sion for the circuit resistance:
R R
T 3
Note that the derivation this formula given for information only. For any parallel circuit, is
common all branches the circuit and
I I
T (5.4)
.
From Ohm’s law know, that I
V
R
and therefore
the total current
the current through is
th
T
T
1 1
1
I
V
R
R I
V
R
e
e current through is
the current through is
2 2
2
3
R I
V
R
R I
3
3
3
V
R
(5.
Craft students need only state the expression for series
connections.2
A parallel circuit.
Key Fact
Resistors
In series circuit, total resistance
RT ohms. 5. The sum the individual
currents, I1, and for example Fig. The total current will divide when reaches resis-
tor junction, part flowing each resistor
