Physics 9702 · AS & A Level · Potential difference and power

Potential difference and power — practice question

(a)[1]

Define the electromotive force (e.m.f.) of a battery.

(b(i))[2]

A battery with e.m.f. $6.0\,\text{V}$ and internal resistance $0.50\,\Omega$ is joined in series with two resistors $X$ and $Y$, as illustrated in Fig. 6.1. The resistance of $X$ is $4.0\,\Omega$ and the resistance of $Y$ is $12\,\Omega$. Calculate the current in the circuit.

(b(ii))[1]

Calculate the terminal potential difference (p.d.) at the battery terminals.

(c(i))[3]

Calculate the resistance $R$ of the combination of resistors $Y$ and $Z$.

(c(ii))[2]

State and explain how the terminal p.d. across the battery is affected. No numerical value is needed.

(d)[3]

For the circuits in (b) and (c), show that the ratio $$\frac{\text{power developed in the external circuit in Fig. 6.1}}{\text{power developed in the external circuit in Fig. 6.2}}$$ is approximately $0.8$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: energy converted from chemical to electrical per unit charge

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