CAIE A-Level Physics AS 9.3.6 R L a Questions
Use R = ρL / A to calculate resistance, resistivity, length and cross-sectional area.
- Syllabus
- 2028–2030
- Course
- Physics 9702
- Level
- AS
Use R = ρL / A to calculate resistance, resistivity, length and cross-sectional area.
One end of a wire is attached to a fixed point. A force F is applied to the wire to cause extension x. The variation with F of x is shown in Fig. 5.1.
Fig. 5.1
The wire has a cross-sectional area of 4.1×10−7 m2 and is made of metal of Young modulus 1.7×1011 Pa. Assume that the cross-sectional area of the wire remains constant as the wire extends.
The resistivity of the metal of the wire is 3.7×10−7Ω m.
Determine the change in resistance of the wire when the extension x of the wire changes from x=0.48 mm to x=0.60 mm.
change in resistance = Ω
R=ρL/AΔR=ρΔx/A=3.7×10−7×0.12×10−3/(4.1×10−7)=1.1×10−4Ω