Physics 9702 · AS & A Level · Kirchhoff's laws

Kirchhoff's laws — practice question

(a)[2]

State Kirchhoff’s second law for a circuit.

(b)

A battery is connected in parallel with two lamps A and B, as shown in Fig. 5.1. The battery has electromotive force (e.m.f.) $6.8\ \text{V}$ and internal resistance $r$. The $I\text{-}V$ characteristics of lamps A and B are shown in Fig. 5.2. The potential difference across the battery terminals is $6.0\ \text{V}$.

(b(i))[2]

Use Fig. 5.2 to demonstrate that the current in the battery is $0.40\ \text{A}$.

(b(ii))[2]

Calculate the battery's internal resistance $r$.

(b(iii))[2]

Determine the ratio $\frac{\text{resistance of lamp A}}{\text{resistance of lamp B}}$.

(i)[2]

Use Fig. 5.2 to demonstrate that the current in the battery is $0.40\,\text{A}$.

(ii)[2]

Calculate the battery's internal resistance $r$.

(iii)[2]

Determine the ratio $\dfrac{\text{resistance of lamp A}}{\text{resistance of lamp B}}$.

(iv.1)[2]

Determine the total power produced by the battery.

(iv.2)[2]

Determine the efficiency of the battery in the circuit.

Worked solution & mark scheme

This 18-mark question has a full step-by-step worked solution and mark scheme. One marking point: In a closed loop, the total or sum of electromotive forces is equal to the total or sum of potential differences

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