Consider a circuit containing two identical lamps connected in parallel. This parallel combination is connected in series with a resistor and a battery. Over time $t$, the battery transfers $50\,\text{C}$ of charge around the circuit and performs $120\,\text{J}$ of work. During the same time $t$, the charge passing through each lamp has $40\,\text{J}$ of work done on it. The electromotive force (e.m.f.) of the battery is $E$ and the potential difference (p.d.) across one lamp is $V$. Which statement about $E$ and $V$ is correct?
- A$E$ is $2.4\,\text{V}$ and $V$ is $0.80\,\text{V}$.
- B$E$ is $2.4\,\text{V}$ and $V$ is $1.6\,\text{V}$.
- C$E$ is $4.8\,\text{V}$ and $V$ is $2.4\,\text{V}$.
- D$E$ is $4.8\,\text{V}$ and $V$ is $4.8\,\text{V}$.