2. Electric Current
Electric current is the rate of flow of electric
charges through a conductor:
Unit of electric current: the ampere, A.
1 A = 1 C/s
3. Electric Current
By convention, Current is defined as flowing
from + to –. Electrons actually flow in the
opposite direction, but not all currents
consist of electrons.
4. Production of Electric Current
Volta discovered that
electricity could be
created when two
dissimilar metals were
connected by a
conductive solution
called an electrolyte.
This is a simple
electric cell.
5. Electrochemical Cells
An electrochemical cell transforms chemical energy into
electrical energy.
Chemical reactions within the cell create a potential
difference between the electrodes by slowly dissolving
them. This potential difference can be maintained even if
a current is kept flowing, until one or the other electrode
is completely dissolved.
6. Defects of a Simple Cell
• Polarization: The production of hydrogen bubbles at
the positive electrodes which reduces the efficiency
of the cell and its capacity to produce current for a
long time.
• Local action: This is caused by using impure zinc.
The zinc electrode consequently acts as series of
mini cells creating back emf.
7. Types of Electric Cells
• Primary Cells: These are cells from which
current is produced as a result of non-
reversible chemical changes taking place
between the various component of the
cell.
8. Types of Electric Cells
• Secondary Cells (or Accumulators): These are
cells whose chemical actions can be reversed by
driving a current through them in a direction
opposite to the current they supply. Such cells
can therefore be recharged and used for a long
time.
14. Electromotive force (EMF) and Terminal Potential
Difference PD
EMF is the potential difference across the terminals off a cell when it is
not supplying current to an external load while terminal PD is the
potential difference across the terminals of a cell when supplying
current to an external load
15. Ohm’s Law
The current (I) passing through a metallic conductor is directly
proportional to the potential difference (V) applied across its
ends, provided temperature and other physical conditions
remain constant.
I V
16. Resistance and Resistors
The ratio of voltage to current is called the resistance:
In many conductors, the resistance is independent of the
voltage; this relationship is called Ohm’s law. Materials
that do not obey Ohm’s law are called non-ohmic
conductors.
Unit of resistance:
the ohm, Ω.
1 Ω = 1 V/A
17. Resistivity
The resistance of a wire is directly proportional to its
length and inversely proportional to its cross-sectional
area:
The constant ρ, the resistivity, is characteristic of the
material.
18. Resistivity
For any given material, the resistivity increases with
temperature:
Semiconductors are complex materials, and may
have resistivities that decrease with temperature.
19. EVALUATION
A wire of diameter 2 x 10−3cm is used to make a
resistor of resistance 3Ω. Determine the length of the
wire used if the resistivity of the material is 2 x
10−6Ωcm
20. Arrangement of Resistors
1. Resistors in Series
• When resistors are connected end to end, creating a single path for current flow.
• The total resistance in a series circuit is the sum of the individual resistances.
• The same current flows through each resistor in a series, and is in the same
direction.
• The voltage drops across each resistor add up to the total applied voltage.
𝑅𝑡𝑜𝑡 = 𝑅1 + 𝑅2 + 𝑅3
21. Arrangement of Resistors
2. Resistors in Parallel
• When resistors are connected in parallel, the equivalent resistance is less
than the resistance of the smallest individual resistor.
• In a parallel circuit, the current divides and flows through each resistor
separately, providing multiple paths for the current to follow.
• Each resistor in parallel has the same voltage across it, providing a constant
voltage drop across all resistors.
22. EXAMPLE
Determine the total resistance of the circuit and the current
passing through and the potential difference across each of the
resistors in the circuit.
23. Measuring Instruments
1. Ammeter
An ammeter is a device used to measure the electric
current in a circuit. It is typically connected in series to
the circuit and has very low internal resistance.
24. 2. Voltmeter
A voltmeter measures the potential difference between
two points in an electric circuit. It is connected across a
component and usually have very high resistance.
25. 3. Galvanometer
• A galvanometer is a highly sensitive device used to
detect and measure small electric currents in a circuit.
• It consists of delicate coils and essential mechanical
components for accurate current measurement.
26. Conversion of Galvanometer to
Ammeter
Shunt Addition
• A shunt (low resistance resistor)is added in
parallel to allow the flow of most of the
current, bypassing the galvanometer.
27. Conversion of Galvanometer to
Voltmeter
Multiplier Addition
• Additional resistance is connected in series
to convert the galvanometer into a
voltmeter.
28. EXAMPLE
Explain the conversion of a galvanometer of resistance 50Ω and
maximum deflection of 20 mA to a.) a voltmeter capable of
measuring 2 V b.) an ammeter measuring up to 2 A.
30. EXAMPLE
3. A potentiometer circuit consists of a battery of e.m.f. 5V and
internal resistance 1.0Ω connected in series with a 3.0Ω resistor
and a potentiometer wire AB of length 1.0 m and resistance
2.0Ω. Calculate
a.) the total resistance of the circuit
b.) the current flowing in the circuit
c.) the lost voltage from the internal resistance of battery across
the battery terminals
d.) the p.d. across the wire AB
e.) the e.m.f of a dry cell which can be balanced across 60 cm of
the wire AB
31. Metre Bridge
• The meter bridge allows for accurate and
detailed measurements of resistances in
electrical circuits.
33. Electric Power and Energy
Power, as in kinematics, is the energy transformed by a
device per unit time:
Power =
𝐸𝑛𝑒𝑟𝑔𝑦 𝐶𝑜𝑛𝑠𝑢𝑚𝑝𝑡𝑖𝑜𝑛
𝑡𝑖𝑚𝑒
Energy = Power x time
E = IVt