Electrical Circuit
A basic electrical circuit consists of the power source, the
conductors, and the load. A switch can be placed in series with the circuit
conductors to control the operation of the load (turning it on or off).
According to the “electron
current flow theory,” current always flows from the negative terminal of the
source, through the circuit and load, to the positive terminal of the source.
Power Source
The power necessary to move electrons out of their orbit around
the nucleus of an atom can be produced by chemical, magnetic, photo-voltaic,
and other means. The two categories of power sources are direct current (dc)
and alternating current (ac).
Direct Current
The polarity and the output voltage from a direct-current power
source never change direction. One terminal is negative and the other is
positive, relative to each other. Direct-current power is often produced by
batteries, direct-current generators, and electronic power supplies.
Direct current is used for electroplating, street trolley and
railway sys-tems, or where a smooth and wide range of speed control is required
for a motor-driven application. Direct current is also used for control
circuits and electronic instruments.
Alternating Current
Alternating-current power sources produce a voltage that changes
polarity and magnitude. Alternating current is produced by an
alternating-current power source such as an alternating-current genera-tor.
The major advantage of alternating current over direct current is that voltage
can be changed through the use of a transformer.
Conductance
Conductance, or conductivity, is the property of a metal that
permits current to flow. The best conductors in order of their conductivity are
silver, copper, gold, and aluminum. Copper is most often used for electrical
applications.
Circuit Resistance
The total resistance of a circuit includes the resistance of the
power supply, the circuit wiring, and the load. Appliances such as heaters and
toasters use high-resistance conductors to produce the heat needed for the
application. Because the resistances of the power source and conductor are so
much smaller than that of the load, they’re generally ignored in circuit
calculations.
Ohm’s Law
Ohm’s Law expresses the relationship between a direct-current
circuit’s current intensity (I), electromotive force (E), and its resistance
(R). This is expressed by the formula: I = E/R.
The German physicist Georg Simon Ohm (1787-1854) stated that
current is directly proportional to volt-age, and inversely proportional to
resistance.
Direct proportion means that changing one factor results in a
direct change to another factor in the same direction and by the same
magnitude.
If the voltage increases 25 percent, the current increases 25
per-cent—in direct proportion (for a given resistance). If the voltage
decreases 25 percent, the current decreases 25 percent—in direct proportion
(for a given resistance).
Inverse proportion means that increasing one factor results in a
decrease in another factor by the same magnitude, or a decrease in one factor
will result in an increase of the same magnitude in another factor.
If the resistance increases by 25 percent, the current decreases
by 25 percent—in inverse proportion (for a given voltage), or if the resistance
decreases by 25 percent, the current increases by 25 per-cent—in inverse
proportion (for a given voltage).
Ohm’s Law and Alternating Current
Direct Current
In a direct-current circuit, the only opposition to current flow
is the physical resistance of the material through which the current flows.
This opposition is called resistance and is measured in ohms.
Alternating Current
In an alternating-current circuit, there are three factors that
oppose current flow: the resistance of the material; the inductive reactance of
the circuit; and the capacitive reactance of the circuit.
For now, we’ll assume that the effects of inductance and
capacitance on the circuit are insignificant and they’ll be ignored.
Ohm’s Law Formula Circle
Ohm’s Law, the relationship between current, voltage, and
resistance expressed in the formula, E = I x R, can be transposed to I = E/R or R = E/I. In order to use these formulas, two of the values must be known.
Place your thumb on the unknown value in Figure 1–16, and the two remaining variables
will “show” you the correct formula.
Current Example
Question: 120V supplies a lamp
that has a resistance of 192 ohms. What’s the current flow in the circuit?
Step 1: What’s the question?
What’s “I?”
Step 2: What do you know? E = 120V, R = 192 ohms
Step 3: The formula is I = E/R
Step 4: The answer is I =
120V/192 ohms
Step 5: The answer is I = 0.625A
Voltage-Drop Example
Question: What’s the voltage drop
over two 12 AWG conductors (resistance of 0.20 ohms per 100 ft) supplying a
16A load located 50 ft from the power supply?
Step 1: What’s the question?
What’s “E?”
Step 2: What do you know about the conductors?
I = 16A, R = 0.20 ohms. The NEC
lists the alternating-current resistance of 1,000 ft of 12 AWG as 2 ohms
[Chapter 9, Table 8]. The resistance of 100 ft is equal to 0.20 ohms.
Step 3: The formula is E = I x R.
Step 4: The answer is E = 16A x
0.20 ohms
Step 5: The answer is E = 3.20V
Resistance Example
Question: What’s the resistance
of the circuit conductors when the conductor voltage drop is 3V and the current
flowing in the circuit is 100A?
Step 1: What’s the question?
What’s “R?”
Step 2: What do you know about
the conductors?
E = 3V dropped, I = 100A
Step 3: The formula is R = E/I
Step 4: The answer is R = 3V/100A
Step 5: The answer is R = 0.03
ohms
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