ELECTROMAGNETIC INDUCTION & APPLICATIONS
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Subject: Physics
Class: SHS 3
Term: 2nd Term
Week: 13
Grade code: 3.3.3.LI.1
Strand code: 3
Sub-strand code: 3
Content standard code: 3.3.3.CS.2
Indicator code: 3.3.3.LI.1
Theme: ELECTRIC FIELD, MAGNETIC FIELD AND ELECTRONICS
Subtheme: ELECTROMAGNETIC INDUCTION & APPLICATIONS
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Welcome, future engineers and scientists! Today, we are exploring a device that is absolutely essential to our modern lives in Ghana: the transformer. From the massive transformers at the Akosombo Dam and GRIDCo substations that send power across the country, to the small block in your phone charger that powers your device safely, transformers are everywhere. Understanding how they work, why they lose energy, and how we can make them better is crucial for building a more energy-efficient nation. This lesson will demystify the transformer and connect complex physics principles to the electricity you use every day.
A. The Ideal Transformer: A Quick Recap
A transformer works on the principle of mutual electromagnetic induction. It consists of two coils, a primary coil and a secondary coil, wound on a common laminated soft iron core. When an alternating current (AC) flows through the primary coil, it creates a continuously changing magnetic field in the core. This changing magnetic flux links with the secondary coil. According to Faraday's Law of Induction, this induces an alternating electromotive force (e.m.f.) or voltage across the secondary coil.
For an ideal transformer (one that is 100% efficient, with no energy loss), two key relationships hold true: The Transformer Equation: The ratio of the secondary voltage (`Vs`) to the primary voltage (`Vp`) is equal to the ratio of the number of turns in the secondary coil (`Ns`) to the number of turns in the primary coil (`Np`).
`Vs / Vp = Ns / Np` Step-up Transformer: `Ns > Np`, so `Vs > Vp`. Voltage is increased. Step-down Transformer: `Ns < Np`, so `Vs < Vp`. Voltage is decreased. Conservation of Power: In an ideal transformer, power input equals power output. `Power_in = Power_out` `Vp * Ip = Vs * Is`