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4.2.4a Resistance

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Question 13

A student investigates the relationship between the length lll of a resistance wire and its resistance RRR. The student measures a constant current in the circuit:

I=0.45 A I = 0.45\text{ A} I=0.45 A

The table below shows the student's measurements of length lll and potential difference VVV.

l/cml / \text{cm}l/cmV/VV / \text{V}V/VR/ΩR / \OmegaR/Ω
20.00.62(i)
40.01.26(ii)
60.01.85(iii)
80.02.50(iv)
100.03.12(v)
a.

Calculate the resistance RRR of each length of wire using the equation R=VIR = \frac{V}{I}R=IV​. Write down the calculated values for (i) to (v) to two decimal places.

[2]
b.

Select the statement that best describes the relationship between RRR and lll from the results:

  • RRR is constant within the limits of experimental accuracy.
  • RRR is directly proportional to lll within the limits of experimental accuracy.
  • RRR decreases as lll increases.
  • There is no simple relationship between RRR and lll.
[1]
c.

Justify your choice by reference to your calculated values.

[2]
d.

Use the values in the table to estimate the potential difference VeV_{\mathrm{e}}Ve​ across 50.0 cm50.0\text{ cm}50.0 cm of the resistance wire.

[1]
e.

Calculate the resistance of 50.0 cm50.0\text{ cm}50.0 cm of the resistance wire using the equation:

R=VeI R = \frac{V_{\mathrm{e}}}{I} R=IVe​​

State your answer to a suitable number of significant figures (2 or 3) and include the unit.

[1]
Markscheme

4.2.4a Resistance Questions

  1. IGCSE
  2. /Physics
  3. /4.2.4a Resistance

132 exam-style questions on CIE IGCSE Physics 4.2.4a Resistance. Each one has a worked solution and a mark scheme showing where the marks go.

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