Skip to content

Course home

Sign up

4.2 Electrical quantities

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102
Question 54

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 Electrical quantities Questions

  1. IGCSE
  2. /Physics
  3. /4.2 Electrical quantities

452 exam-style questions on CIE IGCSE Physics 4.2 Electrical quantities, covering 4.2.1a Positive and negative charge, 4.2.1b Charging by friction and detecting charge, 4.2.1c Electrical conductors and insulators, 4.2.1d Electric fields and electric field patterns, 4.2.2a Electric current, charge and measuring current, 4.2.2b Conduction in metals and the direction of current, 4.2.2c Direct current and alternating current, 4.2.3a Electromotive force, 4.2.3b Potential difference and voltmeters, 4.2.4a Resistance, 4.2.4b Resistance of a metallic wire, 4.2.4c Current–voltage graphs, and 4.2.5 Electrical energy and electrical power. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank