Electrical power is the electrical energy transferred each second.
Power= Energy Transferred ÷ Time Taken
P = E/ t
The Units of Power are Joules per Second ( J/s)
1 Joule per second is called a Watt (W)
1 J/s = 1 W
But
also
Energy Transferred = Charge x Voltage
E = Q x V
And so
Electrical Power = (Charge x Voltage)÷ Time Taken
P = (Q x V) / t
But
Charge / time taken = Electric Current
Q/t = I
And so the expression for Electrical Power becomes
Power = Current x Voltage
P = I x V
Resistance
Ohm’s Law
As charged particles try to make their way round a circuit they
encounter resistance to their flow eg. they collide with atoms in
the conductor. More resistance means more energy is needed to push
the same number of electrons through part of the circuit.
This
resistance is measured in ohms, .
Definition
-“If it takes 1 volt (1 joule per coulomb) to push a current
of 1amp through a resistor, it has a resistance of 1 ohm”
In
equation form, that says
R=V/I
Otherwise
written as the more familiar
V=IR
This
equation summarises Ohm’s law. It suggests that any value
of voltage you put across a resistor divided by the current it produces
in the resistor, will always give the same value of resistance.
So, if you plotted a graph you would get:
Any
resistor that does this is called an ohmic resistor. Any resistor
that doesn’t do this is therefore called a non-ohmic resistor.
A
filament lamp (non-ohmic).
A
diode (non-ohmic).
Combination
of Resistors in Circuits, Parallel and Series
Series
If you have more than one resistor in a circuit it is often useful
to be able to calculate a value of a single resistor which would
be the same as the actual combination of resistors
Current
used in all 3 will be the same (current doesn’t get used up)
but energy used per coulomb (i.e. pd) will depend on value of resistance
So,
Vtotal
= V1 + V2 + V3
and as V = IR
IRtotal
= IR1 + IR2 + IR3
canel
the I's
Rtotal
= R1 + R2 + R3
Parallel
Here
the voltage across all three will be the same but current through
each depends on resistance of each.
So
Itotal
= I1+ I2 + I3
and
as I=V/R
V/Rtotal
= V/R1 + V/R2 + V/R3
Cancel
the V’s to get:
1/Rtotal
= 1/R1 + 1/R2 + 1/R3
Diodes
A diode is a semiconductor device which allows current to flow through
it in only one direction. Although a transistor is also a semiconductor
device, it does not operate the way a diode does. A diode is specifically
made to allow current to flow through it in only one direction.There
are a number of different electronic devices which tend to be called
diodes. Although they're made differently they all have three things
in common.
They have two leads like a resistor.
The current they pass depends upon the voltage between the leads.
They
do not obey Ohm's law!
The
following are some examples of common diodes:
Voltage
regulation diode (Zener Diode)
The circuit symbol is .
It is used to regulate voltage, by taking advantage of the fact
that Zener diodes tend to stabilize at a certain voltage when that
voltage is applied in the opposite direction.
Light emitting diode
The
circuit symbol is .
This
type of diode emits light when current flows through it in the forward
direction. (Forward biased.)
Variable
capacitance diode
The circuit symbol is .
The current does not flow when applying the voltage of the opposite
direction to the diode. In this condition, the diode has a capacitance
like the capacitor. It is a very small capacitance. The capacitance
of the diode changes when changing voltage. With the change of this
capacitance, the frequency of the oscillator can be changed.
Characteristics
of a LED
Typically, a LED needs a forward current of 10mA to operate.
The voltage drop across the LED is then typically 2 Volts.
The LED must have an external resistor in series with it to limit
the current to 10 mA.
The value of the external resistor is given by
R = (Supply Voltage - 2.0 ) / (10 x 10-3)
The advantage of LEDs are
small size
reliability
long life
high operating speed
The
graph below the electrical characteristics of a typical diode.
When
a small voltage is applied to the diode in the forward direction,
current flows easily.
Because the diode has a certain amount of resistance, the voltage
will drop slightly as current flows through the diode. A typical
diode causes a voltage drop of about 0.6 - 1V (VF) (In the case
of silicon diode, almost 0.6V)
This voltage drop needs to be taken into consideration in a circuit
which uses many diodes in series. Also, the amount of current passing
through the diodes must be considered.
When
voltage is applied in the reverse direction through a diode, the
diode will have a great resistance to current flow.
Different diodes have different characteristics when reverse-biased.
A given diode should be selected depending on how it will be used
in the circuit.
The current that will flow through a diode biased in the reverse
direction will vary from several mA to just µA, which is very
small.
Uses
of Diodes
Diodes are used in many electronic circuits.
Diodes are used to change Alternating Current (a.c.) into Direct
Current (d.c.).
Light
Dependent Resistor (LDR)
Circuit Symbol
Characteristics of the LDR
The resistance of an LDR decreases as the intensity (brightness)
of the light falling upon it increases.
In BRIGHT light an LDR has a low resistance.
In the DARK an LDR has a high resistance.
Uses of an LDR
Measuring Light Intensity (Light Meter)
Controlling lights.
Burglar detectors.
LDR
as arranged in a potential divider
Vout/Vin
= Rldr / R + Rldr
Thermistor
Circuit Symbol
Characteristics of a Thermistor
The resistance of a Thermistor decreases as the temperature goes
up.
At LOW temperatures a thermistor has a high resistance.
At HIGH temperatures a Thermistor has a low resistance.