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In series circuits the total pd of the supply is shared between the various components. So the potential difference round a series circuit always add up to equal the source pd:
V(total) = V1 + V2 +…
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In series circuits the same current flows through all components: R(total) = R1 + R2
The size of the current is determined by the total pd of the cells and the total resistance of the circuit
I = V / R
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In series circuits the total resistance of two components is just the sum of their resistance. This is because by adding a resistor in series, the two resistors have to share the total pd. The potential difference across each resistor is lower, so the current through each resistor is also lower. In a series circuit, the current is the same everywhere so the total current in the circuit is reduced when a resistor is added. This means the total resistance of the circuit increases. The bigger a component’s resistance, the bigger its share of the total potential difference
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There is a bigger pd when more cells are in series, if they’re all connected the same way. For example when two cells with a potential difference of 1.5V are connected in series they supply 3V between them.
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