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Transformers Noadswood Science, 2011

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**Transformers To understand how step-up and step-down transformers work**

Friday, April 14, 2017 Transformers To understand how step-up and step-down transformers work

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Power Station Look at the following steps, ordering them as they occur during electricity production: - Water boils, producing steam Generators are turned, producing electricity Transformers alter the voltage Fuel is burnt, heating water Turbines turn

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**Power Stations Fuel is burnt, heating water**

Water boils, producing steam Turbines turn Generators are turned, producing electricity Transformers alter the voltage

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**Transformers Transformers change the voltage of electricity**

Transformers can be either: - Step-up – they step the voltage up! Step-down – they step the voltage down! Transformers work by electromagnetic induction…

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Transformers The primary coil produces a magnetic field which stays within the iron core (nearly all of it passes through the secondary coil) The alternating current (AC) in the primary coil causes the field in the iron core to constantly change direction - it is a changing magnetic field This magnetic field is felt by the secondary coil, inducing an alternating voltage in the secondary coil (with the same frequency as the AC current in the primary) – this is electromagnetic induction

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Coils The relative number of turns on the two coils determines whether the voltage induce by the secondary coil is greater or smaller than the voltage in the primary More turns in the primary = step-down More turns on the secondary = step-up

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Current If DC current was supplied to the primary there would be noting out of the secondary (there would still be a magnetic field in the iron core, but it wouldn’t be constantly changing so there would be no induction (a changing field is needed to induce voltage)) The iron core is also purely for transferring the changing magnetic field from the primary to the secondary (no electricity flows around the iron core)

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Step-Up Transformers Step-up transformers step the voltage up – they have more turns on the secondary coil than the primary coil…

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**Step-Down Transformers**

Step-down transformers step the voltage down – they have more turns on the primary coil than the secondary coil…

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**Primary voltage = number of turns on primary**

Transformer Equation The output voltage from a transformer can be calculated if you know the input voltage and the number of turns per coil Primary voltage = number of turns on primary Secondary voltage number of turns on secondary Vp = Np Vs Ns Vs = Ns Vp Np

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**Voltage secondary = 1000 x (800 ÷ 40)**

Transformer Equation A transformer has 40 turns on the primary and 800 turns on the secondary – if the input voltage is 1000V, what is the output voltage? Vs = Ns Vp Np Voltage secondary = 800 Voltage secondary = 1000 x (800 ÷ 40) Voltage secondary = 20’000V

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**Power in (voltage x current) = Power out (voltage x current)**

Power Equation Power in = power out is a useful formula as transformers are very efficient (although they are not actually 100% efficient…) Power in = Power out Power in (voltage x current) = Power out (voltage x current) VpIp = VsIs

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Power Equation A transformer has an input voltage of 1000V with an output voltage of 20’000V and an output current of 5A. What is the input current? VpIp = VsIs 1000V x input current = 20’000V x 5A Input current = 20’000V x 5A 1000V Input current = 100A

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Free Power Using a step-up transformer to increase the voltage does not give you something for nothing – as the voltage increases the current decreases by the same proportion (P = VI) In reality the power output is always less than the power input because the changing magnetic field in the core creates eddy currents, heating the core (this heat is wasted energy, as it is lost to the surrounding environment)

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Transformer Cost So why use transformers (if they actually waste some energy during the step-up / step-down process)? Remember, step-up transformers are used at power stations to produce the very high voltages needed to transmit electricity through the National Grid power lines These high voltages are too dangerous to use in the home, so step down transformers are used locally to reduce the voltage to safe levels

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Resistance Electricity is transferred from power stations to consumers through the wires and cables of the National Grid - when a current flows through a wire some energy is lost as heat - the higher the current, the more heat is lost To reduce these losses, the National Grid transmits electricity at a low current, however this needs a high voltage: - P = V x I so to transmit a lot of power either the voltage or current must be very high High current = high resistance (a lot of energy is lost as heat as Power loss due to resistance is P = I2R (current 10x greater = losses 100x greater) It is much cheaper to have a huge voltage and small current, even though it requires transformers

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Copyright © 2009 Pearson Education, Inc. Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits HW8: Chapter 28:18,31,40 Chapter 29:3, 30,48.

Copyright © 2009 Pearson Education, Inc. Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits HW8: Chapter 28:18,31,40 Chapter 29:3, 30,48.

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