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

Kirchhoff's laws — practice question

Figure 4.1 shows a circuit arranged to measure the power transferred from a battery. The power is delivered to a variable resistor with resistance $R$. The battery has an electromotive force (e.m.f.) $E$ and an internal resistance $r$. Across $R$ there is a potential difference (p.d.) $V$. The current in the circuit is $I$.
(a)[3]

With reference to the circuit shown in Fig. 4.1, distinguish between the definitions of e.m.f. and p.d.

(b)[1]

Using Kirchhoff’s second law, determine an expression for the current $I$ in the circuit.

(c)

The way the p.d. $V$ across $R$ varies with current $I$ is shown in Fig. 4.2. Use Fig. 4.2 to determine (i) the e.m.f. $E$, and (ii) the internal resistance $r$.

(c(i))[1]

Determine the e.m.f. $E$.

(c(ii))[2]

Determine the internal resistance $r$.

(d(i))[2]

Using data from Fig. 4.2, calculate the power transferred to $R$ for a current of $1.6\,\text{A}$.

(d(ii))[2]

Use your answers from c(i) and d(i) to calculate the efficiency of the battery for a current of $1.6\,\text{A}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: States e.m.f. as chemical to electrical energy conversion

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI