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 with electromotive force (e.m.f.) $4.0\ \text{V}$ and internal resistance $0.35\ \Omega$ is joined to a uniform resistance wire XY and a fixed resistor of resistance $R$, as shown in Fig. 5.1. Wire XY has resistance $0.90\ \Omega$. The potential difference across wire XY is $1.8\ \text{V}$. Calculate:

(b(i))[1]

current in wire XY

(b(ii))[2]

the quantity of free electrons that pass a point in the battery in a time of $45\ \text{s}$

(b(iii))[2]

the resistance $R$.

(c)

A cell with e.m.f. $1.2\ \text{V}$ is connected to the circuit in (b), as shown in Fig. 5.2. Point $P$ is shifted along wire XY. The galvanometer shows zero when distance XP is $0.30\ \text{m}$. Calculate:

(c(i))[2]

Calculate the full length $L$ of wire XY.

(c(ii))[2]

The fixed resistor is replaced by another fixed resistor with resistance greater than $R$. State and explain what change, if any, must be made to the position of $P$ on wire XY so that the galvanometer reading is zero.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: total of e.m.f.s equals total of p.d.s or algebraic total is zero

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