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4.2.4a Resistance

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Question 28

A student is investigating the resistance of two resistance wires, XYXYXY and WZWZWZ, using a circuit similar to the layout of a standard wire resistance experiment. Wires XYXYXY and WZWZWZ are connected together at their left ends, XXX and WWW.

a.

The student first records the potential difference VVV and current III for a length l=0.250 ml = 0.250\text{ m}l=0.250 m of wire XYXYXY:

V=1.05 V,I=0.35 A V = 1.05\text{ V}, \quad I = 0.35\text{ A} V=1.05 V,I=0.35 A

The student repeats the measurement for l=0.500 ml = 0.500\text{ m}l=0.500 m:

V=2.03 V,I=0.34 A V = 2.03\text{ V}, \quad I = 0.34\text{ A} V=2.03 V,I=0.34 A
  1. Calculate the resistances R0.250R_{0.250}R0.250​ and R0.500R_{0.500}R0.500​ to two decimal places.
  2. Calculate the difference between R0.500R_{0.500}R0.500​ and R0.250R_{0.250}R0.250​.
[3]
b.

The student notes the readings when the sliding contact is placed on wire XYXYXY at l=0.600 ml = 0.600\text{ m}l=0.600 m with no connection between YYY and ZZZ:

V1=2.30 V,I1=0.32 A V_1 = 2.30\text{ V}, \quad I_1 = 0.32\text{ A} V1​=2.30 V,I1​=0.32 A

The student then connects points YYY and ZZZ with a short wire, keeping the contact at l=0.600 ml = 0.600\text{ m}l=0.600 m:

V2=2.09 V,I2=0.58 A V_2 = 2.09\text{ V}, \quad I_2 = 0.58\text{ A} V2​=2.09 V,I2​=0.58 A
  1. Calculate R1R_1R1​ and R2R_2R2​ to two decimal places.
  2. Select the relationship that is best supported by these results:
    • A: R1=R2R_1 = R_2R1​=R2​
    • B: R1=2R2R_1 = 2R_2R1​=2R2​
    • C: 2R1=R22R_1 = R_22R1​=R2​
    • D: There is no simple relationship
[2]
c.

Suggest two reasons why different students all carrying out this experiment carefully, with the same apparatus, may not obtain identical results.

[2]
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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