RESISTANCE
Resistor and Resistor Circuits
Resistance is the degree at which a resistor can oppose the
flow of current in a circuit. The unit of resistance is in ohms. The higher the
resistance or resistors in a circuit, the lower the current flow and lower the
resistance, the higher the current flow in a circuit according to ohms law (V =
IR) provided the voltage remains constant.
For example, if we have a resistor of 10Ω
and a voltage of 12v in a circuit, according to ohms law;
V=IR, the current flowing through the circuit will be;
I = V/R
I = 12/10 = 1.2amps eqn
(1)
Assuming we increase the resistance from 10Ω
to 20Ω;
We have our current to be;
I = 12/20 = 20amps eqn
(2)
Now comparing (1) & (2), we can confirm that the higher the
resistance in a circuit, the lower the current flow and the lower the
resistance, the higher the current flow along a circuit.
What is electrical current? Electrical current represented by the
letter “I” in formulas, is the rate or flow of electric charge carried out by
moving electrons in a metallic conductor or electronics components such as
resistor, transistors etc. Voltage represented by the letter “V” is the
pressure at which the charge is used that is why we also refer to it as
electromotive force (EMF). Its unit is in volts.
The circuit symbols used for representing a resistor in a circuit
are;
Resistors can be connected in series
(end to end) or parallel (across one another) or in a combination of series and
parallel.
Series Connected Resistor
Connecting resistors in a string or
pigtail to another is called connecting them in series. When connected this
way, the resistance of one resistor adds to the next in line. For example a
200Ω resistor in series with a 100Ω resistor is the same as having a 300Ω
resistor.
R1 + R2 + R3 + R4 = RT
(Total resistance)
Parallel Connected Resistor
When resistors are connected in parallel
(parallel; meaning they are tied across one another) their combined resistance
is less than any of the individual resistance.
Resistor values are measured in ohms. A thousand ohms is written as 1k to eliminate
all the zeros. The “K” represents three
zeros. A million ohms is represented by
1M. Therefore; 1000 ohms = 1K and 1000k ohms = 1M ohms. Since resistors are so
small their value is marked by a color code.
Note that when two resistors of the same value are connected in
parallel, the net resistance is half the value of an individual resistor e.g
assume R1 = 100Ω and R2 = 100Ω, the net resistance RT becomes;
Series-Parallel Connected Resistor
Resistor Color Code
Resistors use color coded strips to
indicate their value in ohms because of its small size. This color code however stands for digits that is usually used to indicate the value of a given resistor. Although resistors value can also be checked by using an ohmmeter or multimeter but this values varies because of the tolerances, temperature and so many factors that will hinder knowing the actual value of a given resistor.
DIGITS
|
DIGITS
|
MULTIPLIER
|
TOLERANCE
|
0
|
Black
|
1
|
|
1
|
Brown
|
10
|
|
2
|
Red
|
100
|
|
3
|
Orange
|
1000
|
|
4
|
Yellow
|
10000
|
|
5
|
Green
|
100000
|
0.05
|
6
|
Blue
|
1000000
|
0.25
|
7
|
Purple
|
10000000
|
0.1
|
8
|
Gray
|
100000000
|
|
9
|
White
|
1000000000
|
|
|
Gold
|
|
5
|
|
Silver
|
|
10
|
|
None
|
|
20
|
Most resistors have four bands where
the first band represents the digit, the second band also represent another
digits, the third band becomes the multiplier, and the fourth band represent
the tolerance.
Let us assume we have a resistor with
a color code of brown, black, red and
gold.
Brown = 1
Black = 0
Red = 2 = third band (multiplier) =100
Gold = 5% (tolerance)
So therefore the value of the resistor
will be;
10×100 = 1000Ω
i.e. = 1KΩ
The major reason why using color code chart to indicate the value of a given resistor is that color code chart gives the actual value of the reason while using meter will alter its actual value (resistor) .
A given example is when trying to measure a 100ohms resistor using a multimeter set in ohms range. The meter will give a higher resistance of the order of 105ohms or above at lower temperature and might give a lower reading in the of 90 or below at higher temperature. So with this variation, the actual value can not be determined using a meter.
CAPACITORS
A capacitor is a device that stores
electrical charge when a potential difference (voltage) exists between the two
conductors which are usually two plates separated by a dielectric material (an
insulating material like air, paper, or special chemicals between two sheets of
aluminum foil). Capacitor blocks DC voltage and pass AC voltages. They are used
as filters, AC coupling capacitors are used as by-pass capacitors.
They are
also used in conjunction with resistors and inductors to form tuned circuits
and timing circuits. A capacitor value C (in farads) is dependent upon the
ratio of the charge Q(in coulombs) divided by the V (in volts).
Common capacitors come in values of
microfarads or picofarads. Often you will have to convert between pico farads
and microfarads. You would have to look very hard to find a circuit which will
not have a capacitor in it. They are one of the most fundamental passive
components in a circuit. What makes capacitors special is their ability to
store charge for a short period of time. Common application includes local
energy storage, voltage spike suppression and complex signal filtering.
There are two special ways of
representing a capacitor in a circuit. They always have two terminals which go
to connect to the next of the circuit. The capacitor symbols consists of two
parallel lines, which are either flat or curved; both lines should be parallel
to each other, close, but not touching.
Charging and Discharging of a Capacitor
When positive and negative charges come together on the capacitor
plates, the capacitor becomes charged. A capacitor can retain its electric
field i.e. holds its charge because the positive and negative charges on each
of the plates attract each other but never reach each other.
At some point the capacitor will be so full of charges that they
just don’t accept anymore. There are enough negative charges on one plate that
they can repel any others that try to join. This is where the capacitance
(farads) of a capacitor comes into play which tells you the maximum amount of
charge the capacitor can store. If a path in the circuit is created, which
allows the charges to find another path to each other, they will leave the
capacitor, and it will be discharged.
For example, in the circuit bellow, a battery can be used as the
power supply source to induce potential (voltage) across the capacitor. This
will cause equal but opposite charges to build up on each f the plates until
they are so full that they repel any more current from flowing. An LED placed
in series with the cap could provide a path for the current and the energy
stored in the cap could be used to briefly illuminate the LED.
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