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Series and parallel circuits and conservation lawsEdexcel A-Level Physics: Flashcards

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What does conservation of charge say about current in a series circuit?

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What does conservation of charge say about current in a series circuit?
The current is the same at every point, because charge cannot build up or be lost.
What does conservation of charge say about a junction?
The current entering the junction equals the current leaving it.
What does conservation of energy say about p.d.s in a series circuit?
The p.d.s across the components add up to the supply p.d.
What is the p.d. across each branch of a parallel circuit?
The same as the supply p.d. (the p.d. across the whole parallel combination).
What is the equation for resistors in series?
R = R₁ + R₂ + ...
What is the equation for resistors in parallel?
1 / R = 1 / R₁ + 1 / R₂ + ...
Why is the combined resistance in parallel less than the smallest resistance?
Each extra path allows more current for the same p.d., so R = V / I decreases.
What is the combined resistance of N identical resistors R in parallel?
R / N.
How can you derive the series resistance equation?
Same I through each, V = V₁ + V₂, and V = IR, so R = R₁ + R₂.
How can you derive the parallel resistance equation?
I = I₁ + I₂ with the same V across each, and I = V / R, so 1 / R = 1 / R₁ + 1 / R₂.
What happens to the other lamps in a series circuit when one lamp filament breaks?
All of them go out, because the circuit is broken and the current is zero.
In a series-parallel circuit, how do you find the p.d. across a parallel group?
Subtract the p.d.s across the series components from the supply p.d.

Exam questions on Series and parallel circuits and conservation laws

  1. A string of decorative lights consists of 20 identical lamps connected in series to a 230 V supply.
    Explain, using conservation of energy, why the potential differences across the 20 lamps add up to the p.d. of the supply.2 marks
  2. Two resistors, of resistance 6.0 Ω and 12 Ω, are connected in parallel across a 12 V battery that has negligible internal resistance.
    Explain why the combined resistance is less than the resistance of the 6.0 Ω resistor alone.2 marks
  3. A circuit contains a 9.0 V battery of negligible internal resistance. A 15 Ω resistor is connected in series with a parallel combination of a 30 Ω resistor and a 60 Ω resistor.
    Calculate the total resistance of the circuit.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).