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Science notes, chapter 7

Electricity and magnetism

Textbook Science Form 2 (DLP), pages 140–165

What this chapter covers

  • Describe forms and sources of energy, and explain how electrostatic charges form, how an electroscope shows them and where they matter in daily life (7.1)
  • Define current, voltage and resistance with their units and instruments, and use Ohm's Law V = IR (7.1)
  • Compare current, voltage and resistance in series and parallel circuits, and solve numerical problems (7.2)
  • State the properties of a magnet and the characteristics of magnetic field lines (7.3)
  • Describe electromagnets, the pattern and direction of their magnetic fields, the factors that affect their strength and their uses (7.3)

7.1Electricity

Energy: forms and sources

Energy is the ability to do work. Its S.I. unit is the joule (J). Energy cannot be created or destroyed; it only changes from one form to another.
Forms of energyExamples
KineticA running chicken, a moving car
HeatBoiling water
Elastic potentialA compressed spring, a stretched rubber band
Gravitational potentialA book on a high shelf
ChemicalFood, fuel, dry cells
Electrical, light, sound, nuclearA lighted bulb, a ringing bell, a power station

Sources of energy: the Sun, wind, waves, water, geothermal, biomass, fossil fuel and radioactive substances.

State the form of energy in a stretched catapult and in a lighted candle.
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Stretched catapult: elastic potential energy. Lighted candle: heat and light energy (from the chemical energy of the wax).

Electrostatic charges

Electrostatic charges are electric charges that stay on a surface instead of flowing. Matter has positive charges (protons) and negative charges (electrons). Same charges repel; opposite charges attract.
  • When two different objects are rubbed together, only electrons move from one object to the other. The protons stay put.
  • The object that gains electrons becomes negatively charged. The object that loses electrons becomes positively charged.
  • An object with equal numbers of protons and electrons is neutral.
Three circles showing more protons than electrons (positive), more electrons than protons (negative) and equal numbers (neutral)
Charge depends on the number of electrons compared with protons. (Textbook Figure 7.3, p. 145)

Textbook figure: Science Form 2 (DLP), Figure 7.3, p. 145.

Why a rubbed comb picks up paper
1. The plastic comb is rubbed with woollen cloth, so it gains electrons and becomes negatively charged.
2. The negative charges on the comb attract the positive charges on the neutral pieces of paper.
3. The pieces of paper are pulled towards the comb.
Writing that "protons move to the comb". Protons never move when objects are rubbed. Only electrons are transferred.

Electroscope

An electroscope detects whether an object carries electric charges. When a charged strip touches the metal cap, the charges spread to the gold leaf and the stem. Both have the same charge, so they repel and the leaf diverges. The further the leaf diverges, the larger the quantity of charges.

Neutral electroscope with the gold leaf down, and positively and negatively charged electroscopes with the gold leaf raised
How the electroscope works. (Textbook Figure 7.5, p. 146)

Textbook figure: Science Form 2 (DLP), Figure 7.5, p. 146.

Electrostatics in daily life

SituationExplanation
LightningFriction between clouds and air charges the cloud (the upper part becomes positive and the bottom part negative). The negative charges in the cloud are attracted to the positive charges on the ground, and a huge spark jumps across. A Van de Graaff generator can simulate it in the laboratory.
Lightning conductorA metal rod on a tall building gives the charges an easy path into the ground, so the building is not struck.
Dusty TV screenThe positive charges on the screen attract the negatively charged dust. A microfibre cloth (anti-electrostatic material) stops the screen becoming dusty so quickly.
Electric shock from a door knobCharges transfer between your body and the knob.
Charged clouds above houses with lightning striking the ground
Lightning. (Textbook Figure 7.6, p. 146)

Textbook figure: Science Form 2 (DLP), Figure 7.6, p. 146.

A plastic ruler is rubbed with a cloth and becomes negatively charged. Has the ruler gained or lost electrons? What happens to the cloth?
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The ruler has gained electrons. The cloth has lost the same number of electrons, so it becomes positively charged.

Current, voltage and resistance

Electric current is the rate of flow of electric charges through a conductor (ammeter, ampere, A).
Voltage is the potential difference between two points (voltmeter, volt, V).
Resistance is the ability of a conductor to resist the flow of current (ohm, Ω).
QuantitySymbolUnitInstrumentConnected
CurrentIampere (A)AmmeterIn series
VoltageVvolt (V)VoltmeterIn parallel across the component
ResistanceRohm (Ω)Calculated: R = V ÷ I
  • More resistance (for example a longer nichrome wire) means less current.
  • Higher voltage (for example more dry cells) means more current and a brighter bulb.
  • A fixed resistor has a set resistance. A variable resistor (rheostat) can be adjusted.
Ohm's Law: the current through a conductor is directly proportional to the voltage across its ends, provided the temperature and other physical conditions stay the same.
V = I R    I = V ÷ R    R = V ÷ I
Straight-line graph of current against voltage through the origin
A straight line through the origin: current is directly proportional to voltage. Here R = 4.5 V ÷ 0.75 A = 6 Ω.
Worked example
A car bulb draws 0.5 A from a 12 V battery. R = V ÷ I = 12 ÷ 0.5 = 24 Ω.
The same bulb on 6 V: I = V ÷ R = 6 ÷ 24 = 0.25 A.
A resistor of 15 Ω has a current of 0.4 A flowing through it. What is the voltage across it?
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V = I R = 0.4 × 15 = 6 V.

7.2Series and parallel circuits

Table of circuit symbols: switch, dry cell, voltmeter, galvanometer, ammeter, bulb, resistor, fuse, variable resistor
Electrical components and their symbols. (Textbook Table 7.1, p. 153)

Textbook table: Science Form 2 (DLP), Table 7.1, p. 153.

Series circuit with three bulbs in one loop and parallel circuit with three bulbs on separate branches
Left: series circuit, one path. Right: parallel circuit, several paths. (Textbook Figures 7.8 and 7.9, p. 153)

Textbook figures: Science Form 2 (DLP), Figures 7.8 and 7.9, p. 153.

Series circuitParallel circuit
PathOne path onlyMore than one path
CurrentI = I₁ = I₂ (same everywhere)I = I₁ + I₂ (current splits)
VoltageV = V₁ + V₂ (shared)V = V₁ = V₂ (same across each branch)
Effective resistanceR = R₁ + R₂1/R = 1/R₁ + 1/R₂
If one bulb failsAll stopThe others keep working
SwitchingOne switch controls all; cannot switch off one applianceEach appliance can be switched on or off separately
Home wiring is parallel: every appliance gets the full mains voltage and can be switched off on its own. In a parallel circuit the effective resistance is always smaller than the smallest resistor.

Series circuit calculation

A 9 V cell in series with 3 ohm and 6 ohm resistors and an ammeter
Series circuit: 9 V cell, R₁ = 3 Ω, R₂ = 6 Ω.
Steps
(a) R = R₁ + R₂ = 3 + 6 = 9 Ω
(b) I = V ÷ R = 9 ÷ 9 = 1 A
(c) V₁ = I R₁ = 1 × 3 = 3 V; V₂ = I R₂ = 1 × 6 = 6 V. Check: 3 + 6 = 9 V.

Parallel circuit calculation

A 12 V cell connected to 4 ohm and 6 ohm resistors in parallel with an ammeter in the main wire
Parallel circuit: 12 V cell, R₁ = 4 Ω, R₂ = 6 Ω.
Steps
(a) 1/R = 1/4 + 1/6 = 3/12 + 2/12 = 5/12, so R = 12 ÷ 5 = 2.4 Ω
(b) Voltage across each resistor = 12 V
(c) I₁ = 12 ÷ 4 = 3 A; I₂ = 12 ÷ 6 = 2 A; I = 3 + 2 = 5 A. Check: 12 ÷ 2.4 = 5 A.
Series circuitParallel circuit
AdvantagesEvery component receives the same current. One switch controls all the components. A higher voltage gives more current.Every appliance can be switched on or off separately. Adding more appliances does not affect the others.
DisadvantagesIf one appliance is damaged, the others stop working. Adding more appliances increases the resistance and reduces the current.The voltage of each appliance cannot be adjusted because it equals the voltage of the source.
Adding resistances in a parallel circuit, or forgetting to turn 1/R upside down. Always finish with R = 1 ÷ (1/R).

Direction of flow: electrons flow from the negative terminal to the positive terminal. The current flows from the positive terminal to the negative terminal, the opposite direction to the electrons.

Two 10 Ω resistors are connected (i) in series and (ii) in parallel. Find the effective resistance in each case.
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(i) 10 + 10 = 20 Ω. (ii) 1/R = 1/10 + 1/10 = 2/10, so R = 5 Ω.

7.3Magnetism

A magnet attracts magnetic materials (iron, steel, cobalt, nickel). A magnetic field is the area around a magnet where its magnetic force acts.

Properties of a magnet

  • It attracts magnetic materials.
  • It has two poles: a north pole and a south pole. The attraction is strongest at the poles.
  • Like poles repel, unlike poles attract.
  • A freely suspended magnet comes to rest pointing north-south.

Magnetic field lines

Bar magnet with dotted field lines looping from the north pole to the south pole
Characteristics of magnetic field lines. (Textbook Figure 7.16, p. 159)

Textbook figure: Science Form 2 (DLP), Figure 7.16, p. 159.

  • Lines begin at the north pole and end at the south pole.
  • Lines never cross or meet.
  • Lines are closer together where the field is stronger (near the poles).
  • Between two like poles there is a neutral region where the field cancels out.

Electromagnet

An electromagnet is a temporary magnet. It is magnetic only while electric current flows through the coil, usually wound around an iron core.
  • A straight wire (and a coil) produces field lines in the shape of concentric circles. The field is weaker further from the wire.
  • Reversing the current reverses the direction of the field. The pattern stays the same.
  • The right-hand grip rule for a straight wire: thumb along the current, curled fingers show the direction of the field.
  • A solenoid is a long coil of wire. Looking at one end, current flowing anti-clockwise makes that end a north pole; current flowing clockwise makes it a south pole.
Right hand gripping a straight wire, thumb along the current
Right-hand grip rule. (Textbook Figure 7.19, p. 160)

Textbook figure: Science Form 2 (DLP), Figure 7.19, p. 160.

Strength of an electromagnet

Increase theEffect on number of pins attracted
CurrentStronger magnetic field, more pins
Number of turns in the coilStronger magnetic field, more pins
Fair test: when you change the current, keep the number of turns constant. When you change the number of turns, keep the current constant. Use a rheostat to adjust the current.

Uses: compass needles, magnetic door locks (electromagnet), credit and debit cards (strip that stores information), electric bells, and electromagnets that lift scrap metal. Switching the current off releases the load.

Name two ways to make an electromagnet stronger.
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Increase the current (more dry cells or a larger current from the power supply) and increase the number of turns of the coil.