TOPIC 9: THERMAL CURRENT ELECTRICITY – PHYSICS NOTES FORM THREE
Electromotive force (emf) and potential difference (pd)


- Set the variable resistor in the circuit to 10Ω.
- Close the switch and note the values of the p.d across the internal resistance and the load resistance.
- Suppose the result shows a p.d across 10Ω load resistance of 7.5V and a p.d across the
- 2Ω internal resistance of 1.5V the e.m.f of battery is 9V.
- The p.d actually available at the battery terminals is called the terminal p.d. If the e.m.f of the battery is Vtpd = Terminal, p.d across the internal resistance = Vlost.Thus E = Vtpd – Vlost.
- The Electromotive force (e.m.f) can be regarded as the total potential difference including the potential difference lost across the internal resistance of the battery.
- The SI unit of potential difference or electromotive force is the Volt (Symbol V).



The SI Units of Electromotive Force and Potential Difference
Electromotive Force of a Cell and Potential Difference
Measuring potential difference

Example 1

Factors which Determine the Resistance of a Conductor
- Cross Sectional Area:The cross-sectional area of a conductor (thickness) is similar to the cross section of a hallway. If the hall is very wide, it will allow a high current through it, while a narrow hall would be difficult to get through due to it’s restriction to a high rate of flow. The animation at the left demonstrates the comparison between a wire with a small cross sectional area (A) and a larger one (A). Notice that the electrons seem to be moving at the same speed in each one but there are many more electrons in the larger wire. This results in a larger current which leads us to say that the resistance is less in a wire with a larger cross sectional area.
- Length of the Conductor:The length of a conductor is similar to the length of a hallway. A shorter hallway would allow people to move through at a higher rate than a longer one.
- Temperature:The temperature of a conductor has a less obvious effect on the resistance of the conductor. It would be as hard to apply the hallway analogy as it is hard to say whether a hot hallway would make us move faster or slower than a cold hallway. To truly understand the effect you must picture what happens in a conductor as it is heated. Remember, heat on the atomic or molecular scale is a direct representation of the vibration of the atoms or molecules. Higher temperature means more vibrations. Imagine a hallway full of people. Half of the people (the electrons) are trying to move in the same direction you are and the other half (the protons) are evenly spaced but stationary in the hallway. This would represent a cold wire. Since the wire is cold the protons are not vibrating much so the electrons can run between them fairly rapidly. As the conductor (hallway) heats up, the protons start vibrating and moving slightly out of position. As their motion becomes more erratic they are more likely to get in the way and disrupt the flow of the electrons. As a result, the higher the temperature, the higher the resistance. A prime example of this is when you turn on a light bulb. The first instant, the wire (filament) is cold and has a low resistance but as the wire heats up and gives off light it increases in resistance. As a result we can say that Ohm’s law holds true unless temperature changes.At extremely low temperatures, some materials have no measurable resistance. This is called superconductivity. The materials are known as superconductors. Gradually, we are creating materials that become superconductors at higher temperatures and the race is on to find or create materials that superconduct at room temperature. We are painfully far away from the finish line.
The Relationship between Potential Difference across the Conductor and Current
Types of Resistors
- Linear Resistor: A linear resistor is the type of resistor whose resistance remains constant with increase in the potential difference or voltage applied to it. Or the Resistance or Current passed through the resistor does not changes as the applied voltage ( P.D ) changes. The V-I characteristics of such resistor is a straight line as shown on the figure below or in other words these types of resistors followsOhm’s Law very strictly.
- Non Linear Resistor: Non-Linear Resistor are those types of resistors in which the Current passedthroughit is not exactly directly proportional to the Potential Difference applied to it. These types of resistors have non-liner V-Icharacteristicsand does not strictly follows ohm’s Law
- Fixed Value Resistor: Fixed value resistors are those types of resistors whose value is fixed already during manufacturing and cannot be changed during its usage.

- Variable Resistor or Potentiometer: Variable Resistors or Potentiometers are those types of resistors whose value can be changed during its usage.

The Equivalent Resistance of more than two Resistors in Series and Parallel


The Mode of Action of a Wheatstone Bridge

Simple Electric Circuit

Effects of an Electric Current

H = MCQFactors which determines the Quality of Heat Generated in a Conductor due to a Current
- Heat absorbed by the water is proportional to the increase in its temperature.
- The arrangement used in experiment can be also used to investigate how the heat (or temperature) varies with current and resistance of the wire.
- H is directly proportional to Q.
- Heat is directly proportional to the temperature.
- H is directly proportional to I2.
- Also Heat is directly proportional to the time (t).
- H is directly proportional to t.
- Also Heat is directly proportional to the Resistance, R.
- H is directly proportional to R.
- H = KI2Rt
- H = (IR) It
- V = IRH = VIt
- H = ItV
- I = (V/R)
- H = (V/R) (tV)
- H = V2t/R
- Specific Heat capacity, C = 4200 J/Kgk
- Change in Temperature = (373 – 300) K=73K
- Mass of water, M = 1Kg
- Resistance of wire, R = 5Ω
- Time of the current to flow, t = 10min = 600s

Electrical Power


Electric Installation

The Function of a Fuse and a Circuit Breaker
Wiring on a Board
Elecrical Faults in Domestic Appliances
- Try them in another socket.
- Check the fuse in the plug (see using a continuity checker).
- If other appliances works on the socket and you’ve checked the fuse then the appliance is broken! Replace it or try and get it repaired by a specialist.
The Mode of Action of a Dry Cell (Leclanche)

- At cathode: The zinc plate dissolves in the sulphuric acid solution and liberates electrons into the external circuit. The metal discus had to be of different material Volta used copper and zinc discs sand witched by cloth soaked in salt water. The combined device was called a voltaic pile. Volta also obtained the same effects by using copper and zinc plates dipped in dilute sulphunic acid. Volta called these devices, arranged in series. The “ Crown of cups” zn – 2e – Zn 2+ The 2n 2+ ions go into solution.
- At anode: Positively charged hydrogen lons (H+) are attracted towards the negatively charged copper plate2H + + 2e —– H2.The chemical reaction in the cell creates a potential different between plates, causing electrons to flow when the two plates are joined with a wire. The electrons flow is maintained by the chemical change that occurs when the zinc dissolves in the sulphuric acid. Since simple cell, which is able to adrive an electric current through a circuit, is said to be a source of electromotive force (e.m.f)
Voltage of Combination of Cells in Series and Parallel


The Cell Defects
- Polarization
- Local Action
Polarisation
- Polarisation can be minimised by using suitable oxidising agents, called depolarisers, to remove the hydrogen. An example of depolarisers for hydrogen is potassium dichromate. The dichromate oxidizes the hydrogen to form water.
Local Action
The Dry cell
- Lead Acid accumulators
- Nickel – Cadmium accumulators
- Alkaline and chloride accumulators
The Mode of Action of Lead-acid accumulator
Discharging Accumulator
- Is the process of using charges stored in the lead – Acid Accumulator.
- When the accumulator is discharged after long use both plate become coated with lead sulphate.
- The relative density (R.D) of Acid also become less and the P.d of cell falls.
- Recharging will restore the plate of lead (iv) oxide and lead, and the relative density of acid will rise to 1.25
- The accumulator must not allowed to discharge below the stated values of p.d and Relative density, or it will not be possible to recover it on recharging.
- The capacity of an accumulator is the amount of current in amperes that the cell can send thought a circuit is measured in ampere – Hour (Ah)
- The charging rate an Accumulator is a current in amperes, numerically equal to one – tenth (1/10) of the capacity required in Recharging.
- Lead-acid accumulators have high e.m.f (2v per cell) and allow internal Resistance.
- Accumulators are best cared for by a regular check of the level of the sulphuric acid.
- Any loss due to evaporation must be replenished with distilled water only.
- No acid should be added unless there has been same spillage from the cell.
- Accumulators must be recharged regularly using the charging current recommended by the manufactures.
- They should not left in discharged condition for a long time.
- When not in use they should be recharged at least once every month.
- An accumulator should never be short-circuited.
- Shorting the cell may cause swelling and buckling of the plates due to excessive heat developed in the cell, leading to permanent damage (A cell in this condition is said to be sulphated).
Cells and Accumulators in Daily Life
- Electric cells are very useful when no mains supply of electricity is available or when connecting to a main supply of electricity would be inconvenient.
- Portable radios, torches, calculators and watches are example of devices that use primary cells.
- It is possible to buy rechargeable batteries for these devices.These are secondary cells to start the engine and to run all the electrical circuits.
- This cell is recharged by the alternator when the car is in use.


































Leave a Reply