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Series and parallel circuits

4.3.2

What the syllabus asks of you

  • Recall and use in calculations, the fact that: (a) the current at every point in a series circuit is the same (b) the sum of the currents entering a junction in a parallel circuit is equal to the sum of the currents that leave the junction (c) the total p.d. across the components in a series circuit is equal to the sum of the individual p.d.s across each component (d) the p.d. across an arrangement of parallel resistances is the same as the p.d. across one branch in the arrangement of the parallel resistances
  • Calculate the combined resistance of two or more resistors in series
  • Calculate the combined resistance of two resistors in parallel
  • Calculate current, voltage and resistance in parts of a circuit or in the whole circuit

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Chapter 4: Series and parallel circuits

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35 questions

1May / June 2026 · Paper 11 · Q33
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Areading $I_1$/A = 3.0; reading $I_2$/A = 3.0
Breading $I_1$/A = 3.0; reading $I_2$/A = 9.0
Creading $I_1$/A = 6.0; reading $I_2$/A = 3.0
Dreading $I_1$/A = 9.0; reading $I_2$/A = 12.0

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2May / June 2026 · Paper 11 · Q34
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A2.0 V
B3.3 V
C5.0 V
D8.0 V

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3May / June 2026 · Paper 12 · Q32
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AX closed, Y closed, Z closed
BX closed, Y closed, Z open
CX open, Y closed, Z closed
DX open, Y open, Z closed

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4Oct / Nov 2025 · Paper 11 · Q29
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Acircuit A
Bcircuit B
Ccircuit C
Dcircuit D

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5Oct / Nov 2025 · Paper 12 · Q33
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Aa 0.75 Ω resistor and a 6.0 Ω resistor in parallel
Ba 0.75 Ω resistor and a 6.0 Ω resistor in series
Ca 20 Ω resistor and a 30 Ω resistor in parallel
Da 20 Ω resistor and a 30 Ω resistor in series

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6Oct / Nov 2025 · Paper 12 · Q34
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AIt increases from 0 to $\frac{1}{3}E$.
BIt increases from 0 to $\frac{1}{2}E$.
CIt increases from 0 to $\frac{2}{3}E$.
DIt increases from 0 to $E$.

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7May / June 2025 · Paper 11 · Q31
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A2.0 Ω
B4.0 Ω
C9.0 Ω
D18 Ω

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8May / June 2025 · Paper 12 · Q29
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A1.0 V
B3.0 V
C4.5 V
D6.0 V

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9Oct / Nov 2024 · Paper 11 · Q34
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AI0 is equal to I1; V0 is equal to V2
BI0 is equal to I2; V0 is equal to the sum of V1 and V2
CI0 is equal to the sum of I1 and I2; V0 is equal to V1
DI0 is equal to the sum of I1 and I2; V0 is equal to the sum of V1 and V2

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10Oct / Nov 2024 · Paper 12 · Q28
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A\frac{E}{4R} \quad \frac{E}{4R} \quad \frac{E}{4R} \quad \frac{E}{4R}
B\frac{E}{4R} \quad \frac{E}{3R} \quad \frac{E}{2R} \quad \frac{E}{R}
C\frac{E}{R} \quad \frac{E}{2R} \quad \frac{E}{3R} \quad \frac{E}{4R}
D\frac{E}{R} \quad \frac{E}{R} \quad \frac{E}{R} \quad \frac{E}{R}

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11May / June 2024 · Paper 12 · Q29
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A1, 2, 3 and 5
B1, 2, 4 and 5
C1, 3, 4 and 5
D2, 3, 4 and 5

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12Oct / Nov 2023 · Paper 11 · Q26
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Aresistance of circuit P: R, resistance of circuit Q: R/2
Bresistance of circuit P: R, resistance of circuit Q: 2R
Cresistance of circuit P: 2R, resistance of circuit Q: R/2
Dresistance of circuit P: 2R, resistance of circuit Q: 2R

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13Oct / Nov 2023 · Paper 12 · Q34
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A0.25
B0.50
C2.0
D4.0

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14May / June 2023 · Paper 12 · Q29
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Aminimum resistance / Ω: 5.0; maximum resistance / Ω: 15
Bminimum resistance / Ω: 5.0; maximum resistance / Ω: 45
Cminimum resistance / Ω: 15; maximum resistance / Ω: 30
Dminimum resistance / Ω: 15; maximum resistance / Ω: 45

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15Oct / Nov 2022 · Paper 11 · Q29
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Acircuit diagram A
Bcircuit diagram B
Ccircuit diagram C
Dcircuit diagram D

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16Oct / Nov 2022 · Paper 11 · Q30
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AThe current in the lamp increases.
BThe current in the variable resistor decreases.
CThe e.m.f. of the battery decreases.
DThe total resistance in the circuit increases.

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17Oct / Nov 2022 · Paper 11 · Q31
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ACircuit A
BCircuit B
CCircuit C
DCircuit D

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18May / June 2022 · Paper 11 · Q34
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ACircuit A
BCircuit B
CCircuit C
DCircuit D

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19May / June 2022 · Paper 12 · Q34
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A
B
C
D

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20May / June 2022 · Paper 12 · Q36
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AL1 only
BL3 only
CL1 and L2 only
DL1, L2 and L3

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21Oct / Nov 2021 · Paper 11 · Q31
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APQ
BPR
CQS
DRS

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22May / June 2021 · Paper 12 · Q32
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A0–1 mA
B0–10 mA
C0–1.0 A
D0–10 A

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23Oct / Nov 2020 · Paper 11 · Q35
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A2.0 V
B5.0 V
C6.0 V
D8.0 V

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24Oct / Nov 2020 · Paper 11 · Q36
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A1.0 Ω
B4.0 Ω
C8.0 Ω
D16 Ω

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25Oct / Nov 2020 · Paper 12 · Q31Also set in Oct / Nov 2020 Paper 11
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AI1 = I2 = I3
BI1 > I2 and I2 = I3
CI1 > I3 > I2
DI1 > I2 > I3

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26May / June 2020 · Paper 12 · Q38
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Areading on ammeter X decreases, reading on ammeter Y decreases
Breading on ammeter X decreases, reading on ammeter Y increases
Creading on ammeter X increases, reading on ammeter Y decreases
Dreading on ammeter X increases, reading on ammeter Y increases

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27Oct / Nov 2019 · Paper 12 · Q33Also set in Oct / Nov 2019 Paper 11, Oct / Nov 2016 Paper 12
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AThe current is the same in all resistors connected in parallel.
BThe current is the same in all resistors connected in series.
CThe voltage across each resistor is different for all resistors connected in parallel.
DThe voltage across each resistor is the same for all resistors connected in series.

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28Oct / Nov 2019 · Paper 12 · Q34Also set in Oct / Nov 2019 Paper 11
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A2 Ω in parallel with 4 Ω in parallel with 4 Ω
B2 Ω in parallel with 4 Ω, in series with 4 Ω
C4 Ω in parallel with 4 Ω, in series with 2 Ω
D2 Ω in series with 4 Ω in series with 4 Ω

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29May / June 2019 · Paper 12 · Q33
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AThe lamps are dimmer and the motor rotates more quickly.
BThe lamps are dimmer and the motor rotates more slowly.
CThe lamps have the same brightness and the motor rotates more quickly.
DThe lamps have the same brightness and the motor rotates more slowly.

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30May / June 2019 · Paper 12 · Q38Also set in May / June 2019 Paper 11
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Athe voltage supplied to lamp Y decreases; the power supplied to lamp Y decreases
Bthe voltage supplied to lamp Y decreases; the power supplied to lamp Y stays the same
Cthe voltage supplied to lamp Y increases; the power supplied to lamp Y increases
Dthe voltage supplied to lamp Y increases; the power supplied to lamp Y stays the same

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31Oct / Nov 2018 · Paper 11 · Q30
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Areading on P / V: 4.0, e.m.f. of cell / V: 8.0
Breading on P / V: 4.0, e.m.f. of cell / V: 12
Creading on P / V: 8.0, e.m.f. of cell / V: 8.0
Dreading on P / V: 8.0, e.m.f. of cell / V: 12

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32Oct / Nov 2018 · Paper 12 · Q30
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A7.0 Ω
B9.0 Ω
C12 Ω
D16 Ω

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33Oct / Nov 2017 · Paper 12 · Q29
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Areading on voltmeter 2 / V: 2.0; reading on voltmeter 3 / V: 4.0
Breading on voltmeter 2 / V: 2.0; reading on voltmeter 3 / V: 8.0
Creading on voltmeter 2 / V: 4.0; reading on voltmeter 3 / V: 4.0
Dreading on voltmeter 2 / V: 4.0; reading on voltmeter 3 / V: 8.0

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34May / June 2016 · Paper 11 · Q31
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ACircuit A
BCircuit B
CCircuit C
DCircuit D

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35May / June 2016 · Paper 12 · Q29
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A
B
C
D

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