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CIE iGCSE Co-Ordinated Science P4.3.2 Series and parallel circuits Exam Style Questions Paper 2

Question

The diagram shows a circuit.

Which statement is correct?

A. The current in the 4.0Ω resistor is 1.0A.
B. The current in the 4.0Ω resistor is 1.5A.
C. The current in the 6.0Ω resistor is 1.5A.
D. The current in the 6.0Ω resistor is 2.5A.

▶️ Answer/Explanation
The circuit shows a parallel arrangement of a 4.0Ω resistor and a 6.0Ω resistor connected to a 6.0V supply. In a parallel circuit, the potential difference (p.d.) across each branch is equal to the supply voltage (6.0V). Using Ohm’s law \(I = \frac{V}{R}\), the current in the 4.0Ω resistor is \(\frac{6.0}{4.0} = 1.5 \text{ A}\). The current in the 6.0Ω resistor is \(\frac{6.0}{6.0} = 1.0 \text{ A}\). Therefore, option B is correct.
Answer: (B)

Question

The diagram shows resistors of resistance \(R_1\) and \(R_2\) connected in parallel. The combined resistance of the resistors is \(R_{\mathrm{T}}\). Currents \(I_1, I_2\) and \(I_3\) are labelled.

Which row is correct?

▶️ Answer/Explanation
From the circuit, \(I_1\) is the total current from the source, which is greater than branch current \(I_3\). Also, the combined resistance \(R_{\mathrm{T}}\) is less than each individual resistor, so \(R_1\) is smaller than \(R_2\). Thus row A is correct.
Answer: (A)

Question

A battery is connected in a circuit to a 3.0 Ω resistor, a 6.0 Ω resistor and two ammeters P and Q.

What is the combined resistance of the two resistors and which ammeter has the greater reading?

▶️ Answer/Explanation
For resistors in parallel: \(\frac{1}{R} = \frac{1}{3.0} + \frac{1}{6.0} = \frac{1}{2.0}\), so \(R = 2.0\ \Omega\), which is less than 3.0 Ω.
Ammeter Q, positioned in the main circuit, measures the total combined current from both parallel branches.
Since the total current is always greater than the current in any single branch, ammeter Q gives the greater reading.
Answer: (B)

Question

A lamp is connected in four circuits in turn. The batteries are identical and the resistors are identical.

In which circuit is the lamp the brightest?

▶️ Answer/Explanation
Lamp brightness increases with more current through it, which happens when the total circuit resistance is lowest.
Placing resistors in parallel (rather than in series) with the lamp reduces the overall resistance the battery has to drive current through, allowing more current to flow through the lamp.
Circuit D has the arrangement that gives the lowest effective resistance in the lamp’s branch, making the lamp brightest.
Answer: (D)

Question

Two lamps can be connected to a battery either in series or in parallel.

Which statement is not a benefit of connecting two lamps in parallel rather than in series?

A. If one lamp breaks, the other lamp stays lit.
B. The lamps are brighter.
C. The lamps can be controlled individually using switches.
D. There is a smaller current in the battery.

▶️ Answer/Explanation
In parallel, each lamp gets the full battery voltage, stays lit independently if the other breaks, and can be switched individually — so A, B and C are genuine benefits.
However, in parallel the total current drawn from the battery is actually larger (it’s the sum of the branch currents), not smaller.
So “smaller current in the battery” is not a real benefit of parallel connection.
Answer: (D)
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