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REVISION MOTORS & GENERATORS ELECTRODYNAMICS Study of the relationship between electricity, magnetism and mechanical phenomena ELECTROMAGNETIC INDUCTION When a conductor and a magnet move relative to each other, it causes a changing magnetic field around the conductor. The changing magnetic field causes (induce) an emf and the emf causes charge to flow FARADAY’S LAW The induced emf in a conductor is directly proportional to the rate of change in die magnetic flux in the conductor. mk N t MAGNETIESE VLOED The number of magnetic field lines cutting through an area BA cos LENZ’S LAW The direction of the induced current is such that it withstands cause thereof. WHY IS CURRENT INDUCED? • When the magnet is moved close to the coil, the magnetic field lines come into contact with the electrons in the coil. • This creates a potential difference. This potential difference causes the electrons to move (what we call current) • The coil now has its own magnetic field which opposes the applied magnetic field • MOTORS convert electric energy into mechanical energy FLEMING’S LEFT-HAND RULE FOR MOTORS • Your middle finger points in the direction of the current • Your index finger points in the direction of the magnetic field • Your thumb represents the direction of the force FLAT RIGHT-HAND RULE FOR MOTORS • Your thumb points in the direction of motion of a POSITIVE charge (or conventional current) • your fingers point in the direction of the magnetic field • and the direction of the force is given by the direction your palm would push something ELECTRODYNAMICS AC MOTORS SLIP RINGS & CARBON BRUSHES ELECTRODYNAMICS DC MOTORS COMMUTATORS & CARBON BRUSHES GENERATORS Convert mechanical energy into electrical energy FLEMING’S RIGHT-HAND RULE FOR GENERATORS • Your middle finger points in the direction of the current • Your index finger points in the direction of the magnetic field • Your thumb represents the direction of the force FLAT RIGHT-HAND RULE FOR GENERATORS • Your thumb points in the direction of the force • Your fingers point in the direction of the magnetic field • The direction of the current comes out of your palm IMPROVING A GENERATOR mk N t BA cos ELECTRODYNAMICS AC GENERATORS SLIP RINGS & CARBON BRUSHES USES OF AC GENERATORS • Most generators are AC generators • AC is preferred, due to the fact that the power can easily be increased through the use of transformers • Power is delivered over power lines with AC, because less energy is lost WHY ALTERNATING CURRENT?? • Electrical energy is sent through power cables so that we can use it • The equations for power (rate of work) is • 2 P IV PI R 2 V P R • So to increase the power, we need to increase the current and/or potential difference WHY ALTERNATING CURRENT?? W VIt • but • So when current increases, the amount of energy lost as heat also increases. Large current also means thicker cables, because thin cables will melt • therefore • Potential difference is increases at the power stations (with step-up transformers) • And when it reaches substations in our neighborhood, it is decreases to safe magnitudes by step-down transformers ELECTRODYNAMICS DC GENERATORS COMMUTATORS & CARBON BRUSHES USES OF DC GENERATORS • Electroplating and electro-refining of materials • Charging battery & normal lighting purposes • Generators for welding and arc welding • . EQUATIONS • ORDINARY CIRCUITS FOR vs ALTERNATING CURRENT ALTERNATING CURRENT EQUATIONS FOR ALTERNATING CURRENT • 𝑉𝑚𝑎𝑥 is the maximum voltage that your house receives • 𝑉𝑎𝑣𝑒 is the average value of household voltage Vave Vmax 2 • Vrms Vmax 2 𝑉𝑅𝑀𝑆 is the effective voltage (square root of the average square voltage) EQUATIONS FOR ALTERNATING CURRENT • 𝐼𝑚𝑎𝑥 is the maximum current your house receives • 𝐼𝑎𝑣𝑒 is the average value of household current I ave I max 2 I rms I max 2 • 𝐼𝑅𝑀𝑆 is the effective current (square root of the average square tension) a RT R1 R2 48 12 Vwgk I wgk RT b I wgk I maks c Pgemid I 2 wgk R 2 3 I maks 32 4 I maks I1 I wgk 36 I wgk 12 3A I wgk 3 A 36 J 2 4.24 A d The power usage of the 4 is dubble the power usage of the 8 loadspeaker Pgemid V 2 wgk R Power is inversely proportional to resistance when potential difference remains constant (The potential difference across R1 and R 2 is the same) Loudspeaker 1 36V rms Loudspeaker 2 A source supplies an rms-potential difference of 36V to a 4Ω and 8Ω loudspeaker that is connected in series. Determine the following a rms-current through the 4Ω loudspeaker b Peak current through each loudspeaker c Average power usage of the 4Ω loudspeaker d Without any further calculation, how will the average power usage of the 4Ω loudspeaker compare the average power usage of the 8Ω loudspeaker? Give a reason for your answer