Solutions to Period 17 Exercises E.1 A current can be induced in a wire by a) moving the wire in a magnetic field. b) attaching one end of the wire to a battery. c) dropping the wire into sulfuric acid. d) heating the wire. e) all of the above. E.1 = a 17-Ex 1 E.2 Which of the following statements about electric power generation is NOT true? a) Electricity is generated by moving magnets and coils of wire relative to one another. b) Generating plants convert kinetic energy into electrical energy. c) At a generating plant, electricity is stored as thermal energy by using it to heat tanks of water. d) Power plant turbines may be turned using the gravitational potential energy of falling water or the thermal energy of steam. e) ALL of the statements are true. It is not possible to store large amounts of electrical energy. At a generating plant, tanks of water are heated to produce steam, which turns the turbines. E.2 = c 17-Ex 2 E.3 A permanent magnet that forms the weight at the end of a pendulum is suspended directly over a loop of copper wire, the ends of which are attached to a sensitive galvanometer. If the pendulum is set into motion so that is swings back and forth over the wire, you should expect a) a direct current to be induced in the wire. b) an alternating current to be induced in the wire. c) a current to be induced in the wire when the magnet comes to rest over the wire. d) no current to flow in the wire as there is no source of electrical energy in the circuit. e) None of the answers is correct. E.3 = b 17-Ex 3 E.4 The primary coil of a transformer has 100 turns, and the secondary has 200 turns. If the primary is plugged into a 120 volt wall outlet, what will be the output voltage of the secondary? a) 60 V b) 100 V c) 120 V d) 200 V e) 240 V Solve Np/Ns = Vp/Vs for Vs: Vs = Vp Ns Np = 120 V x 200 turns = 240 V 100 turns Or using proportional reasoning, since the number of turns doubles, the voltage will double as well. E.4 = e 17-Ex 4 E.5 You plan a trip to Europe, where the household voltage is 240 volts. Your electric razor, purchased in the U.S., operates on 120 volts. It will require a transformer in order to operate properly in Europe. If the transformer has 100 turns in the primary coil, how many turns should it have in the secondary coil? a) 20 b) 50 c) 100 d) 200 e) 500 To solve equation 17.1 for Ns, first multiply both sides by Ns and cancel: Np Ns Ns = Vp Ns Vs Then multiply both sides by Vs/Vp and cancel: N p Vs Vp = Ns = 100 turns x 120 volts 240 volts = 50 turns If the voltage must be reduced by ½, the number of turns will also be reduced by ½. E.5 = b 17-Ex 5 E.6 Is the transformer described in E.5 a stepup or step-down transformer? The transformer must reduce the 240 V to 120 V, so a step-down transformer is needed. E.7 One advantage of using alternating current (AC) instead of direct current (DC) is that a) transformers, which change the voltage, work only on AC. b) AC does not produce heat in the power lines, which the current flows through. c) electromagnets work only on AC. d) AC is more practical to produce, since DC can be obtained only from a battery. e) None of the above is correct. E.7 = a 17-Ex 6&7 Solutions to Period 17 Exercises E.1 = a E.2 = c E.3 = b E.4 = e E.5 = b E.6 = step down E.7 = a