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Current, Voltage and Resistance 1 of 31 © Boardworks Ltd 2011 2 of 31 © Boardworks Ltd 2011 What obstacles affect the flow of current? How do different components affect the flow of current? 3 of 31 © Boardworks Ltd 2011 What affects the size of the current? Current is a measure of the rate of flow of electric charge through a circuit. A large current means a faster rate of flow. Current can be changed by increasing or decreasing the voltage of the circuit. Components in a circuit may reduce the size of the current. This is called resistance. All wires and components resist current. Resistance is a measure of how hard it is for electrons to move in an electrical circuit. 4 of 31 © Boardworks Ltd 2011 Resistance simulation 5 of 31 © Boardworks Ltd 2011 What is a resistor? A resistor is a component designed to reduce the current. A variable resistor has a resistance that can be changed. A fixed resistor has a resistance that remains the same. Many domestic appliances use resistance to transfer electrical energy to heat and light energy. As current is passed through the metal element in this kettle, resistance causes the metal to get hot and so boils the water. Resistors are also used to control the current in electric circuits. 6 of 31 © Boardworks Ltd 2011 7 of 31 © Boardworks Ltd 2011 How can resistance be investigated? Set up this circuit with a resistor and a variable resistor. voltage current (V) (A) A V Slowly adjust the variable resistor, increasing the voltage by 0.5 V at a time and record the current for each setting. 0.0 0.0 0.5 0.6 1.0 1.1 1.5 1.8 2.0 2.5 2.5 3.0 3.0 3.5 3.5 4.2 Plot a current-voltage graph of the results. 8 of 31 © Boardworks Ltd 2011 Investigating current and voltage 9 of 31 © Boardworks Ltd 2011 Current–voltage graphs 10 of 31 © Boardworks Ltd 2011 Plotting current–voltage results for nichrome and copper wires on the same graph gives straight lines with different gradients. At the same voltage, a copper wire allows a larger current than a nichrome wire of the same size. current (A) Is resistance the same in all wires? copper nichrome voltage (V) This means that the copper wire has a lower resistance than the nichrome wire. What does the gradient tell you about resistance? The steeper the gradient of a current–voltage graph, the lower the resistance of the wire. 11 of 31 © Boardworks Ltd 2011 Current–voltage graphs 12 of 31 © Boardworks Ltd 2011 13 of 31 © Boardworks Ltd 2011 The irresistible Georg Ohm Resistance is a measure of how hard it is for electrons to move in an electrical circuit. The connection between current, voltage and resistance was discovered in 1827 by Georg Ohm, a German physics and maths teacher. The formula V = I × R is known as Ohm’s Law. It was such an important discovery that the unit of resistance is called the ohm. It is represented by the symbol W. 14 of 31 © Boardworks Ltd 2011 What is Ohm’s law? Ohm’s law is usually written as: voltage = current × resistance V = I×R This formula can also be written as: resistance = R = voltage current V I What are the units of voltage, current and resistance? Voltage is measured in volts (V). Current is measured in amps (A). Resistance is measured in ohms (W). 15 of 31 © Boardworks Ltd 2011 What does Ohm’s law show? What do the different arrangements of Ohm’s law show about the links between current, voltage and resistance? V = I×R As voltage increases, the current increases. Voltage and current are proportional, while the resistance remains constant. R =V/I Voltage and current are proportional, so the resistance of a material is constant, as long as the temperature does not change. I = V/R If voltage is constant, then current decreases as resistance increases. 16 of 31 © Boardworks Ltd 2011 Resistance formula triangle A formula triangle helps you to rearrange a formula. The formula triangle for V = IR is shown below. Cover up the quantity that you have to work out. This gives the formula needed. …which gives the formula… So to find current (I), cover up I… I = V R × 17 of 31 © Boardworks Ltd 2011 Calculating the resistance of a bulb A filament bulb has a current of 0.2 A running through it, with a potential difference of 5 V across it. What is the resistance of the filament in the bulb? V = IR R = V I = 5V 0.2 A = 25 W 18 of 31 In calculations like this one, the resistance of the connecting wires is usually small enough to be ignored. © Boardworks Ltd 2011 Resistance calculations 19 of 31 © Boardworks Ltd 2011 Finding the resistance of a component 20 of 31 © Boardworks Ltd 2011 21 of 31 © Boardworks Ltd 2011 What affects resistance? The resistance of a wire depends on several factors: material thickness length temperature What experiments could be used to test how length and thickness affect resistance? 22 of 31 © Boardworks Ltd 2011 Resistance and length 23 of 31 © Boardworks Ltd 2011 How does length affect resistance? The table shows the resistance of different lengths of wire. What general pattern do these results show? length (cm) voltage (V) current (A) resistance (W) 5 2.6 5.0 0.52 10 2.9 4.3 0.67 20 3.0 2.1 1.48 When the length of the wire increases, resistance increases. Resistance is caused by electrons colliding with metal ions. When the length of the wire is increased, the electrons have to travel further, so more collisions will occur. 24 of 31 © Boardworks Ltd 2011 Resistance and thickness 25 of 31 © Boardworks Ltd 2011 How does thickness affect resistance? The table shows the resistance of different thicknesses of wire. What general pattern do these results show? thickness (mm) voltage (V) current (A) resistance (W) 1 3.0 2.1 1.48 2 2.9 4.3 0.67 4 2.6 5.0 0.52 When the thickness of wire increases, resistance decreases. Increasing the thickness of a wire increases the surface area that the electrons can flow through. This decreases the chance of collisions with metal ions. 26 of 31 © Boardworks Ltd 2011 How does temperature affect resistance? If a component obeys Ohm’s law, then decreasing the temperature decreases the resistance of the material. This is because the positively charged ions in the metal do not vibrate as fast, and the electrons can flow more easily. A superconductor is a material that conducts electricity with very little resistance at very low temperatures. Superconductors can be used to make very fast circuits and to make magnets levitate. 27 of 31 © Boardworks Ltd 2011 Resistance – true or false? 28 of 31 © Boardworks Ltd 2011 29 of 31 © Boardworks Ltd 2011 Glossary 30 of 31 © Boardworks Ltd 2011 Multiple-choice quiz 31 of 31 © Boardworks Ltd 2011