PHYSICS MASTERCLASS ELECTRICITY EQUATIONS YOU NEED TO KNOW There are no electricity equations given on the formula sheet. You need to recall all of these yourself. CIRCUIT SYMBOLS You need to be able to draw all of these symbols and also recognise them in a circuit diagram. Note: Small arrows indicate light. Arrows going away is emission of light and arrow coming towards is a dependence on light. ELECTRICAL CURRENT When a current flows, there is an overall motion of charge around the circuit. Definition: Current: the rate of flow of charge 𝑪𝑯𝑨𝑹𝑮𝑬 𝑪𝑼𝑹𝑹𝑬𝑵𝑻 = 𝑻𝑰𝑴𝑬 𝑸 𝑰= 𝒕 Current (I) is measured in Amperes (A) Charge (Q) is measured in Coulombs (C) Time (t) is measured in seconds (s) Note: This equation is often quoted as 𝑸 = 𝑰𝒕 POTENTIAL DIFFERENCE For a current to flow, there must be a source of Potential Difference Definition: Potential Difference: Energy supplied to each coulomb of charge 𝑬𝑵𝑬𝑹𝑮𝒀 𝑷𝑶𝑻𝑬𝑵𝑻𝑰𝑨𝑳 𝑫𝑰𝑭𝑭𝑬𝑹𝑬𝑵𝑪𝑬 = 𝑪𝑯𝑨𝑹𝑮𝑬 𝑬 𝑽= 𝑸 Potential Difference (V) is measured in Volts (V) Energy (E) is measured in Joules (J) Charge (Q) is measured in Coulombs (C) Note: This equation is often quoted as 𝑬 = 𝑽𝑸 RESISTANCE The size of the current in a circuit depends on the potential difference and the resistance of the circuit. Definition: Resistance: Anything in a circuit which opposes the flow of charge Current, Potential Difference and Resistance are related: 𝑷𝑶𝑻𝑬𝑵𝑻𝑰𝑨𝑳 𝑫𝑰𝑭𝑭𝑬𝑹𝑬𝑵𝑪𝑬 = 𝑪𝑼𝑹𝑹𝑬𝑵𝑻 × 𝑹𝑬𝑺𝑰𝑺𝑻𝑨𝑵𝑪𝑬 𝑽 = 𝑰𝑹 Potential Difference (V) is measured in Volts (V) Current (I) is measured in Amperes (A) Resistance (R) is measured in Ohms (Ω) EXAM TIP: When giving the unit of current, use either the symbol (A) or the full name (Amperes), but never write ‘Amps’! RESISTORS Notice how all four of these symbols start with a resistor! Key points: For a resistor made of resistance wire: resistance increases as the length of wire increases. Some resistors have a fixed value of resistance. These are called fixed resistors. A variable resistor is a resistor where the user adjusts the value of resistance. A Light Dependent Resistor is a resistor whose resistance increases as light intensity decreases. A Thermistor is a resistor whose resistance increases as temperature decreases CURRENT-POTENTIAL DIFFERENCE (I-V) GRAPHS Key points: I-V graphs are used to show how the current through a component varies with the potential difference across it We can also tell if the component obeys Ohm’s law Ohm’s law: The current through an Ohmic conductor (at a constant temperature) is directly proportional to the potential difference across the resistor. Most components don’t obey Ohm’s law because their temperature doesn’t remain constant. Components which obey Ohm’s Law are called Ohmic. Those that don’t are called non-Ohmic. CURRENT-POTENTIAL DIFFERENCE (VOLTAGE) GRAPHS Current Current Current Voltage 1. Resistor (Constant temp) Voltage Voltage 2. Bulb (Filament Lamp) 3. Diode Non-Ohmic: A diode Ohmic: Current Non-Ohmic: As current only lets current go increases in increases the filament in one direction – it proportion to PD. gets hotter. This has very high Straight line increases resistance. resistance in the through the origin. other direction EXAM TIP: This was a required practical so be ready to answer questions on the method and analysis of results. SERIES CIRCUITS Key points: The total resistance is the sum of the resistance of each component There is the SAME current through each component The total potential difference (voltage) of the supply is SHARED between the components The potential difference (voltage) provided by cells connected in series is the sum of the potential difference of each cell PARALLEL CIRCUITS Key points: The potential difference across each component is the same The total current through the whole circuit is the sum of the currents through the separate components The total resistance of a parallel circuit is smaller than the resistance of the smallest resistor Adding resistors in parallel decreases the overall resistance of a circuit. DIRECT CURRENT Cells and batteries supply electric current which always flows in the same direction. This is called direct current (d.c.). Direct current always flows the same way ALTERNATING CURRENT An alternating current (a.c.) is one which is constantly changing direction. a.c. power supply ~ Alternating current constantly changes direction. The lamp works with a.c. and d.c. MAINS ELECTRICITY Key points: The electricity supplied to our homes is called Mains Electricity. It is an alternating current supply. In the UK, mains electricity is supplied at a potential of 230V. The frequency of mains electricity in the UK is 50Hz How electricity arrives into our homes THREE CORE CABLE Electrical cable consists of: 1. A LIVE wire with BROWN insulation 2. A NEUTRAL wire with BLUE insulation 3. An EARTH wire with YELLOW-GREEN striped insulation. These are all surrounded by an outer layer made of rubber or flexible plastic. THE EARTH WIRE This is a safety feature. The earth wire is connected to the metal casing of a device. The other end of this wire is connected to a metal rod or pipe that goes into the ground below a building. Appliances that have plastic cases, for example hairdryers, do not need the earth wire connection. EARTH THE ACTION OF THE EARTH WIRE Appliances with metal cases metal case of tumble dryer fuse L insulation N heater such as a tumble dryer are usually earthed by having the EARTH wire connected to their metal case. Normally current flows to and fro between the LIVE and NEUTRAL wires through the heater of the dryer. E earth wire connected to metal case The metal case is at zero volts and is safe to touch. THE ACTION OF THE EARTH WIRE metal case of tumble dryer fuse L insulation N E earth wire connected to metal case heater If the LIVE wire became loose inside the dryer it might touch the metal case. The metal case would now be dangerous to touch and could give a fatal electric shock. However, the EARTH wire provides a low resistance path to the ground. THE ACTION OF THE EARTH WIRE metal case of tumble dryer fuse L insulation N E earth wire connected to metal case A large current now flows through the fuse and causes it to melt. heater The dryer’s metal casing is now isolated from the LIVE connection and is safe to touch. POWER Electrical devices are designed to bring about transfers of energy Definition: Power: rate of energy transfer 𝑬𝑵𝑬𝑹𝑮𝒀 𝑻𝑹𝑨𝑵𝑺𝑭𝑬𝑹𝑹𝑬𝑫 𝑷𝑶𝑾𝑬𝑹 = 𝑻𝑰𝑴𝑬 𝑬 𝑷= 𝒕 Power (P) is measured in Watts (W) Energy (E) is measured in Joules (J) Time (t) is measured in Seconds (s) Note: This equation is often given in the form 𝑬 = 𝑷𝒕 ELECTRICAL POWER The electrical power output of a device can be calculated from the current through the device and the potential difference across it. 𝑷𝑶𝑾𝑬𝑹 = 𝑪𝑼𝑹𝑹𝑬𝑵𝑻 × 𝑷𝑶𝑻𝑬𝑵𝑻𝑰𝑨𝑳 𝑫𝑰𝑭𝑭𝑬𝑹𝑬𝑵𝑪𝑬 𝑷 = 𝑰𝑽 Power (P) is measured in Watts (W) Current (I) is measured in Amperes (A) Potential Difference (V) is measured in Volts (V) ELECTRICAL POWER Sometime we might need to calculate the power without knowing the potential difference across the device. However, if we know the Resistance of the device and the Current through it, we can still calculate the power output. 𝑷𝑶𝑾𝑬𝑹 = 𝑪𝑼𝑹𝑹𝑬𝑵𝑻𝟐 × 𝑹𝑬𝑺𝑰𝑺𝑻𝑨𝑵𝑪𝑬 𝑷 = 𝑰𝟐 𝑹 Power (P) is measured in Watts (W) Current (I) is measured in Amperes (A) Resistance (R) is measured in Ohms (Ω) TRANSFORMERS AND THE NATIONAL GRID The National Grid is the system of cables used to deliver electrical power from power stations to consumers. The higher the voltage used, the greater is the efficiency of energy transmission. Lower voltages result in higher electric currents and greater energy loss to heat due to the resistance of the cables. At power stations the output voltage of the generators is stepped up by transformers from 25kV to 132kV. The voltage may be further increased to up to 400 kV for transmission over long distance pylon lines. The voltage is reduced in stages by step-down transformers to different levels for different types of consumer. The lowest level is 230V for domestic use. The final stepdown transformer will be at sub station within a few hundred metres of each group of houses. PRACTICE QUESTIONS There are five questions to attempt from the AQA specimen materials. If you have already completed these, there are also four questions to attempt from other Edexcel’s specimen materials.