Electrical resistivity and conductivity, series and parallel combinations of resistors, temperature dependence of resistance - One Line Questions

1. A circuit contains three resistors in series: 10 Ω, 20 Ω, and 30 Ω. If a 6V battery is connected across them, what is the current through the 20 Ω resistor? — 0.1 A
2. A circuit contains three resistors in parallel: 10 Ω, 20 Ω, and 30 Ω. If a 6V battery is connected across them, what is the current through the 10 Ω resistor? — 0.6 A
3. If three resistors of 2 Ω, 3 Ω, and 5 Ω are connected in series, what is the total resistance? — 10 Ω
4. If three resistors of 2 Ω, 3 Ω, and 5 Ω are connected in parallel, what is the total resistance? — 0.968 Ω
5. Consider two resistors, R1 = 10 Ω and R2 = 20 Ω. If they are connected in parallel, the equivalent resistance is: — 6.67 Ω
6. Consider two resistors, R1 = 10 Ω and R2 = 20 Ω. If they are connected in series, the equivalent resistance is: — 30 Ω
7. If a resistor of 100 Ω has a temperature coefficient of 0.004 /°C, what is its resistance at 100°C if its resistance at 0°C is 100 Ω? — 140 Ω
8. The temperature dependence of resistance for metals is generally described by: — A linear relationship
9. The relation R = ρL/A defines resistance (R) in terms of resistivity (ρ), length (L), and cross-sectional area (A). If ρ is constant and L is doubled, what must happen to A to keep R constant? — A must be doubled
10. Which material has a very low temperature coefficient of resistance, making it suitable for precision resistors? — Manganin
11. In a series combination of resistors, the current through each resistor is: — The same
12. In a parallel combination of resistors, the voltage across each resistor is: — The same
13. In a parallel circuit, if one of the resistors is removed, the total resistance will: — Increase
14. In a series circuit, if one of the resistors is removed (and the circuit is reconnected), the total resistance will: — Decrease
15. What is the primary reason for the increase in resistance of metals with temperature? — Increased vibration of the lattice atoms
16. If the temperature of a conductor increases, its conductivity: — Decreases
17. The resistance of a semiconductor generally: — Decreases with increasing temperature
18. Which of the following has the lowest resistivity at room temperature? — Silver
19. What happens to the resistance of most metallic conductors when their temperature increases? — It increases
20. The resistance of a wire is directly proportional to its: — Both length and resistivity
21. The resistance of a wire is inversely proportional to its: — Cross-sectional area
22. For a given material, resistance is independent of: — Shape
23. A material with high electrical resistivity will have: — Low electrical conductivity
24. A Nichrome wire is used in electric heaters because it has: — High resistivity and positive temperature coefficient
25. Resistivity of a material is an intrinsic property. Which of the following factors does NOT affect resistivity? — Dimensions of the sample
26. The SI unit of electrical conductivity is: — Siemens per meter
27. Which of the following units is used to measure electrical resistivity? — Ohm-meter (Ω·m)
28. For most metals, the temperature coefficient of resistance (α) is: — Positive
29. Semiconductors like silicon and germanium typically have a temperature coefficient of resistance that is: — Negative
30. A wire of resistance R is stretched to double its length. The new resistance will be: — 4R
31. A wire of resistance R is cut into two equal halves. If these halves are connected in parallel, the equivalent resistance will be: — R/4
32. What is the equivalent resistance of three identical resistors R connected in series? — 3R
33. What is the equivalent resistance of three identical resistors R connected in parallel? — R/3
34. A wire has resistance R. If it is melted and recast into a wire of half its length, the new resistance will be: — R/4
35. If the length of a wire is doubled, its resistance will: — Be doubled
36. If the cross-sectional area of a wire is doubled, its resistance will: — Be halved
37. If two resistors R1 and R2 are connected in series, the equivalent resistance Req is: — Req = R1 + R2
38. If two resistors R1 and R2 are connected in parallel, the equivalent resistance Req is: — Req = (R1 * R2) / (R1 + R2)
39. Which statement is true about the temperature dependence of resistance for semiconductors? — Resistance decreases significantly with temperature.
40. Electrical conductivity is the reciprocal of which property? — Resistivity
41. The formula for the resistance at temperature T, R(T), for a metal is often given by R(T) = R0(1 + α(T - T0)), where α is the: — Temperature coefficient of resistance
42. Which of the following is a good electrical conductor? — Copper
43. Which of the following is a good electrical insulator? — Plastic
44. Which of the following has the highest resistivity at room temperature? — Glass
45. What does the temperature coefficient of resistance represent? — The change in resistance per degree Celsius change in temperature.
46. The resistivity of a material is independent of: — The dimensions of the conductor
47. What is electrical resistivity? — The ratio of electric field to current density in a material.
48. When resistors are connected in series, the total resistance is: — The sum of individual resistances
49. When resistors are connected in parallel, the total resistance is: — The reciprocal of the sum of reciprocals of individual resistances
50. The relationship between conductivity (σ) and resistivity (ρ) is: — σ = 1/ρ
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