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Electrical resistivity and conductivity - Quiz
Contributed by: Leonard
  • 1. What allows metals to conduct electric current?
A) Chemical reactions within the lattice
B) A sea of dissociable electrons
C) A positive ionic lattice
D) The movement of protons
  • 2. What is the typical magnitude of electron drift velocity in metals?
A) Centimetres per year
B) Metres per second
C) Kilometres per second
D) Metres per hour
  • 3. What is the primary cause for the rapid propagation of electric energy along a wire?
A) High velocity of electrons
B) Propagation of an electromagnetic field
C) Mechanical momentum transfer
D) Direct physical contact between electrons
  • 4. In non-quantum mechanical models, what do electrons behave like as they travel through a lattice?
A) Gas molecules
B) Static charges
C) Particles
D) Waves
  • 5. What causes resistance in the wave-like electron model of metals?
A) High voltage potential
B) The lack of electrons
C) The absence of a lattice
D) Interference of electron waves
  • 6. What effect does increased temperature have on a crystal lattice?
A) Increases lattice vibrations
B) Decreases lattice vibrations
C) Increases electron drift velocity
D) Removes the ionic lattice
  • 7. Why does metal purity affect electrical resistance?
A) Impurities decrease the number of electrons
B) Impurities stop the electromagnetic field
C) Impurity ions block electrons physically
D) Different ions act as irregularities
  • 8. What happens to conductivity when a pure metal melts?
A) It decreases slightly
B) It increases significantly
C) It becomes zero
D) It stays exactly the same
  • 9. What remains in a metal after it melts?
A) Absolute zero vibrations
B) Short range order
C) No crystalline structure
D) Long range crystalline order
  • 10. What describes the lattice of a metal?
A) A negative ionic lattice
B) A non-conductive lattice
C) An electron-only lattice
D) A positive ionic lattice
  • 11. Compared to semiconductors, how is the electrical resistance of metals categorized?
A) Significantly larger
B) Exactly the same
C) Variable but usually higher
D) Significantly smaller
  • 12. What facilitates the drift of electrons towards the positive terminal?
A) The cooling of the metal
B) The change in electron mass
C) An applied electric field
D) The decrease in lattice purity
  • 13. Why is current density large even if drift velocity is slow?
A) Due to the sheer number of moving electrons
B) Due to the electromagnetic field speed
C) Due to the high mass of the electrons
D) Due to the lack of resistance in the wire
  • 14. What determines the coherence between waves diffracted by adjacent ions in molten metals?
A) The increase in crystal lattice symmetry
B) The total absence of electron movement
C) Strong correlation between ion positions
D) The rapid loss of short range order
  • 15. What principle dictates that only one electron can exist in a specific state?
A) Ohm's law.
B) Pauli exclusion principle.
C) Fermi-Dirac statistics.
D) Heisenberg uncertainty principle.
  • 16. What is the name of the characteristic energy level up to which electrons fill the band structure?
A) Band gap.
B) Valence level.
C) Conduction threshold.
D) Fermi level.
  • 17. Why are electrons near or above the Fermi level free to move?
A) They are not bound by the Pauli exclusion principle.
B) They can easily jump among partially occupied states.
C) They have zero mass.
D) They have higher energy than the nucleus.
  • 18. What characterizes the low energy states in a material?
A) They contain the Fermi level.
B) They are completely empty.
C) They are completely filled.
D) They are always forbidden.
  • 19. Where does the Fermi level fall in insulators and semiconductors?
A) Within a partially filled band.
B) At the highest possible energy level.
C) At the very bottom of the lowest band.
D) Within a band gap.
  • 20. Why is the electronic conductivity of insulators very low?
A) The electrons are too heavy to move.
B) The Fermi level is too high.
C) There are no available states near the Fermi level.
D) The material has no electron bands.
  • 21. Which material has a large resistivity and small conductivity?
A) Copper
B) Gold
C) Silver
D) Rubber
  • 22. What term describes materials with different properties in different directions?
A) Amorphous
B) Anisotropic
C) Homogeneous
D) Isotropic
  • 23. What mathematical structure represents resistivity in anisotropic cases?
A) A vector
B) A scalar field
C) A scalar
D) A rank-2 tensor
  • 24. In the Hall effect, what condition leads to the simplification of the relationship between resistivity and conductivity?
A) Total lack of current flow
B) Rotational invariance about the z-axis
C) Perfectly parallel alignment of all fields
D) Absence of magnetic fields
  • 25. What does the Einstein notation symbol 'i' represent in the equation Ei = ρijJj?
A) A component index
B) The material density
C) The imaginary unit
D) The current constant
  • 26. Which material has a small resistivity and large conductivity?
A) Wood
B) Glass
C) Copper
D) Rubber
  • 27. What is the SI unit for electrical resistivity?
A) ohms
B) ohm-metre (Ω⋅m)
C) siemens
D) siemens per metre (S/m)
  • 28. Which Greek letter is commonly used to represent electrical resistivity?
A) ρ (rho)
B) κ (kappa)
C) σ (sigma)
D) γ (gamma)
  • 29. Which law describes the relationship R = ρℓ/A?
A) Coulomb's law
B) Pouillet's law
C) Ohm's law
D) Faraday's law
  • 30. How does cross-sectional area affect the resistance of a conductor?
A) Inversely proportional
B) Exponentially proportional
C) It has no effect
D) Directly proportional
  • 31. Which symbols can be used to signify electrical conductivity?
A) σ, κ, or γ
B) Ω, S, or A
C) n, p, or q
D) ρ, R, or C
  • 32. What is the resistance of an intrinsic semiconductor at absolute zero temperature?
A) Zero
B) Moderate
C) Infinite
D) Very low
  • 33. What is the primary effect of dopant atoms in extrinsic semiconductors?
A) Increase majority charge carrier concentration
B) Decrease the band gap width
C) Eliminate all holes
D) Increase the resistance
  • 34. How does increasing dopant density affect the resistance of a semiconductor?
A) Does not affect resistance
B) Reduces resistance
C) Makes resistance infinite
D) Increases resistance
  • 35. What dominates carrier concentration at very high temperatures in semiconductors?
A) Conduction band electrons only
B) Thermally generated carriers
C) Dopant atoms
D) Metal impurities
  • 36. What kind of substance is used for conduction in ionic liquids beyond solvated ions?
A) Molten salts
B) Distilled water
C) Solid polymers
D) Metallic copper
  • 37. In the formula N = αN0, what does α represent?
A) Dissociation coefficient
B) Mobility of ions
C) Critical temperature
D) Module of ion charge
  • 38. What limits the decrease of resistance in a normal conductor near absolute zero?
A) Magnetic vortices
B) High-temperature superconductivity
C) Impurities and defects
D) Ion dissociation
  • 39. Which of the following describes the resistance of a type II superconductor when magnetic vortices are frozen?
A) Variable based on voltage
B) Truly zero
C) Extremely low but nonzero
D) Moderate
  • 40. What is the relationship between water purity and electrical conductivity?
A) The purer the water, the lower the conductivity
B) Purity has no effect on conductivity
C) Purity increases the resistivity of water
D) The purer the water, the higher the conductivity
  • 41. How are plasmas characterized in terms of electrical conduction?
A) Semiconductors
B) Electrical insulators
C) Very poor conductors
D) Very good conductors
  • 42. What causes the electric fields in plasmas to be very small?
A) The presence of glass
B) High resistivity
C) Lack of charge carriers
D) Good electrical conductivity
  • 43. At what temperature are the resistivity and conductivity values in the table provided?
A) 25 °C
B) 100 °C
C) 0 °C
D) 20 °C
  • 44. Which metal is noted for having extremely low resistivity and high conductivity?
A) Silver
B) Copper
C) Gold
D) Aluminum
  • 45. What factor significantly impacts the insulating properties of wood?
A) The age of the tree
B) Moisture content
C) The type of wood species
D) The length of the wood
  • 46. By approximately what factor is damp wood a worse insulator than oven-dry wood?
A) At least 102
B) At least 1010
C) At least 105
D) At least 1020
  • 47. What can happen to dry wood when subjected to extremely high voltage?
A) Increased resistance
B) Insulation breakdown
C) Immediate combustion
D) Molecular hardening
  • 48. What is the linear approximation for electrical resistivity used for?
A) When measuring superconductors
B) When temperature varies over a large range
C) When temperature does not vary too much
D) When absolute zero is reached
  • 49. What formula is used to approximate the temperature dependence of resistivity in metals?
A) Ohm's law
B) Debye law
C) Matthiessen's rule
D) Bloch–Grüneisen formula
  • 50. Which value in the Bloch–Grüneisen formula is determined by electron velocity and electron density?
A) T
B) A
C) x
D) n
  • 51. What phenomenon involves the loss of all electrical resistivity at low temperatures?
A) Phonon coupling
B) Fermi surface inversion
C) Superconductivity
D) Defect scattering
  • 52. Who discovered superconductivity in 1911?
A) Felix Bloch
B) Eduard Grüneisen
C) Augustus Matthiessen
D) Heike Kamerlingh Onnes
  • 53. What mathematical model does a typical intrinsic semiconductor follow for resistivity temperature dependence?
A) Kondo insulator model
B) Steinhart–Hart linear model
C) Wiedemann–Franz law
D) Arrhenius model
  • 54. For what application is the Steinhart–Hart equation typically used?
A) Defining the Boltzmann constant
B) Measuring quantum tunneling rates
C) Calibrating thermistors
D) Calculating residual resistivity
  • 55. In the variable range hopping formula, what does the exponent 'n' represent?
A) The temperature scale constant
B) The total number of localized sites
C) A value depending on system dimensionality
D) The electron charge
  • 56. Which term in the Kondo insulator formula represents the Fermi liquid contribution?
A) bT5
B) aT2
C) ρ0
D) cmln(μT)
  • 57. In the Wiedemann–Franz law, what does 'k' represent?
A) Boltzmann constant
B) Thermal conductivity
C) Electron charge
D) Electric conductivity
  • 58. What is the complex quantity used to replace resistivity in dielectric spectroscopy?
A) Impedivity
B) Reactivity
C) Permittivity
D) Admittivity
  • 59. What is the imaginary component of impedivity called?
A) Conductivity
B) Reactivity
C) Susceptivity
D) Resistivity
  • 60. What is the complex quantity used to replace conductivity in alternating fields?
A) Permittivity
B) Reactance
C) Admittivity
D) Impedivity
  • 61. What is the imaginary component of admittivity called?
A) Resistivity
B) Impedance
C) Susceptivity
D) Reactivity
  • 62. What method is mentioned for analyzing inhomogeneous materials like spreading resistance profiling?
A) Simple algebraic formulas
B) Linear regression
C) Ohm's Law only
D) Finite element analysis
  • 63. Which equations must be used for E and J when dealing with complex geometries?
A) I = V / R
B) E = I * R
C) J(r) = sigma(r)E(r)
D) R = rho * l / A
  • 64. Which of the following accompanies the vector field equation for E and J to solve for complex geometries?
A) The continuity equation
B) The simple resistivity formula
C) The power dissipation formula
D) The Kirchhoff current law
  • 65. What besides conductivity is used in the alternative description of AC response?
A) Impedivity
B) Reactivity
C) Permittivity
D) Susceptivity
  • 66. What method did John Walsh use to create a vacuum?
A) Boiled mercury in a Torricellian tube
B) Mechanical air pumps
C) Cooling gases to near absolute zero
D) Chemical oxygen removal
  • 67. In what year was Ohm's law published?
A) 1900
B) 1825
C) 1827
D) 1774
  • 68. When was Barlow's law published?
A) 1827
B) 1774
C) 1900
D) 1825
  • 69. What is an important metric for applications where weight is critical?
A) Total cost of material
B) Resistivity-density product
C) Absolute resistivity
D) Melting point of the conductor
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