UNIT 2 Electrical Quantities and Ohm’s Law 19
Figure 2–8 shows three basic Ohm’s law formulas.
In these formulas, E stands for electromotive force and
is used to represent the voltage. The I stands for the
intensity of the current and is used to represent the
amount of current ow or amps. The letter R stands
for resistance and is used to represent the ohms.
The rst formula states that the voltage can be
found if the current and resistance are known. Volt-
age is equal to amps multiplied by ohms. For example,
assume a circuit has a resistance of 50 ohms and a
current ow through it of 2 amps. The voltage con-
nected to this circuit is 100 volts (2 amps 50 ohms
100 volts). The second formula indicates that if the
voltage and resistance of the circuit are known,
the amount of current ow can be found. Assume
a 120-volt circuit is connected to a resistance of
30 ohms. The amount of current that will ow in
the circuit is 4 amps (120 volts/30 ohms 4 amps).
The third formula states that if the voltage and cur-
rent ow in a circuit are known, the resistance can
be found. Assume a circuit has a voltage of 240 volts
and a current ow of 10 amps. The resistance in the
circuit is 24 ohms (240 volts/10 amps 24 ohms).
Figure 2–9 shows a simple chart that can be a great
help when trying to remember the Ohm’s law formula.
To use the chart, cover the quantity to be found. For
example, if the voltage, E, is to be found, cover the E
on the chart. The chart now shows the remaining
letters IR. Therefore, E I R. If the current is to be
found, cover the I on the chart. The chart now shows
E/R. Therefore, I E/R. If the resistance of a circuit is
to be found, cover the R on the chart. The chart now
shows E/I. Therefore, R E/I.
A larger chart that shows the formulas needed
to nd watts as well as the voltage, amperage, and
resistance is shown in Figure 2–10. Because watt
is the unit of electric power, the letter P is used
to represent watts. The chart is divided into four
quadrants. Each quadrant contains three formulas
that can be used to nd the electrical quantity rep-
resented in that quadrant.
EXAMPLE 1: An electric heating element is connected
to 120 volts and has a resistance of 18 ohms. What
is the power consumption of this element?
SOLUTION: The electrical quantity to be determined
is power, or watts. The known electrical values are
voltage and resistance. Using the formula chart in
Figure 2–8
Three Ohm’s law formulas. (Source: Delmar/Cengage Learning)
E I R I
E
__
R
R
E
__
I
Figure 2–9
Ohm’s law formula chart. (Source: Delmar/Cengage Learning)
R
EI
IR
2
X
X
E
I
P
P
2
E
2
E
2
I
P
P
I
I
X
R
X
R
E
R
P
E
P
R
P
I
R
E
Figure 2–10
Ohm’s law chart. (Source: Delmar/Cengage Learning)
Figure 2–10, choose the formula for nding power
that includes the two known electrical quantities.
The formulas for determining power are located in
the rst quadrant of the chart. The formula that
contains the known values of voltage and resistance
is P E
2
/R, as shown in Figure 2–11.
P
E
2
__
R
P
120 120
_________
18
P 800 watts