Physics 9702 · AS & A Level · Resistance and resistivity

Resistance and resistivity — practice question

(a)[1]

Define the ohm in terms of V and A.

(b)[3]

A wire has a resistance of $1.8\,\Omega$. Its uniform cross-sectional area is $0.38\,\text{mm}^2$ and it is made from a metal with resistivity $9.6 \times 10^{-7}\,\Omega\,\text{m}$. Calculate the length of the wire.

(c(i))[1]

The battery P has an electromotive force (e.m.f.) of $1.2\,\text{V}$ and negligible internal resistance. Explain, in terms of energy, why the potential difference (p.d.) across resistor X is smaller than the e.m.f. of the battery.

(c(ii))[2]

Calculate the p.d. across resistor X.

(d(i))[1]

A second battery Q with e.m.f. $1.2\,\text{V}$ and negligible internal resistance is now added to the circuit of Fig. 5.1 to make the revised circuit shown in Fig. 5.2. State whether adding battery Q makes the current in resistor X decrease, increase or stay the same.

(d(ii))[1]

State whether the addition of battery Q causes the current in battery P to decrease, increase or stay the same.

(e(i))[1]

The circuit in Fig. 5.2 is changed to make the new circuit shown in Fig. 5.3. Calculate the total resistance of the two resistors connected in parallel.

(e(ii))[2]

Calculate the current in resistor Y.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: volt divided by ampere

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