Transformers only work with AC โ DC produces no output. High voltage reduces CURRENT (not power) โ cable losses are proportional to Iยฒ so even a small current reduction gives large savings.
๐ Variables
VpPrimary voltage (Vp) is measured in volts (V)
VsSecondary voltage (Vs) is measured in volts (V)
npPrimary turns (np) is measured in ()
nsSecondary turns (ns) is measured in ()
ICurrent (I) is measured in amperes (A)
PPower (P) is measured in watts (W)
๐ Key Equations
Vp รท Vs = np รท ns
P_lost in cables = Iยฒ ร R
๐ Key Note
Power stations โ step-up โ high-voltage cables โ step-down โ homes (230 V). High V = low I = low IยฒR losses. Step-up: more secondary turns. Step-down: fewer secondary turns. Transformers: AC only. Vp/Vs = np/ns.
๐ฏ Matching Activity โ National Grid Components
Match each component to its role. โ drag the symbols on the right to match the component names on the left.
Step-up transformer
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Transmission cables
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Step-down transformer
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High-voltage transmission
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At power stations โ increases voltage to ~400 kV for efficient transmission
Carry high-voltage AC across the country on pylons or underground
Reduces current โ reduces IยฒR losses โ more efficient
At substations โ reduces voltage to 230 V for homes
โฝ FIFA Worked Examples
Transformer Calculation
A step-down transformer: 2000 primary turns, 100 secondary turns, primary voltage 230,000 V. Find secondary voltage.
F
Vs = Vp ร (ns รท np)
I
Vp = 230,000 V; np = 2000; ns = 100
F
Vs = 230,000 ร (100 รท 2000) = 230,000 ร 0.05
A
Vs = 11,500 V
๐ฏ Test Yourself
Question 1 of 2
1. Why is electricity transmitted at high voltage across the National Grid?
2. A transformer has 4000 primary turns, 200 secondary turns, primary voltage 20,000 V. What is the secondary voltage?
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