Electric current, drift velocity, mobility and relation with current, Ohms law - One Line Questions

1. A copper wire has a cross-sectional area of 1 mm². If the electron density in copper is 8.5 x 10²⁸ m⁻³, and the drift velocity is 0.5 mm/s, what is the current flowing through the wire? (Elementary charge e = 1.6 x 10⁻¹⁹ C) 0.68 A
2. The drift velocity of electrons in a metal is typically of the order of: 10⁻⁴ m/s
3. A conductor carries a current of 2 Amperes. What is the amount of charge passing through a cross-section of the conductor in 5 seconds? 10 Coulombs
4. A battery supplies a constant voltage of 12V to a resistor. If the resistance is 3 Ohms, what is the current? 4 A
5. A wire carries a current of 1 A. If the electron density is 10²⁹ m⁻³ and the area of cross-section is 1 mm², what is the drift velocity of electrons? (e = 1.6 x 10⁻¹⁹ C) 6.25 x 10⁻⁴ m/s
6. What is the unit of current density (J)? A/m²
7. For a material that does not obey Ohm's law (non-ohmic), the V-I graph is: A curve
8. Which factor does NOT affect the drift velocity of electrons in a conductor, assuming Ohm's law is obeyed? The color of the conductor
9. In Ohm's Law, the constant of proportionality between voltage (V) and current (I) is: Resistance
10. Which physical quantity is represented by the slope of the V-I graph for an ohmic conductor? Resistance
11. If the number of free electrons per unit volume (n) in a conductor increases, and other factors remain constant, the current for a given drift velocity will: Increase
12. A constant voltage is applied across a resistor. If the resistance of the resistor is decreased, the current flowing through it will: Increase
13. If the temperature of a metallic conductor increases, its resistance: Increases
14. Mobility (μ) of charge carriers is defined as the ratio of: Drift velocity to electric field
15. Consider a conductor of length L and cross-sectional area A. If a voltage V is applied across its ends, the electric field E inside the conductor is approximately: E = V / L
16. Which of the following quantities is NOT a vector? Electric current
17. Electric current is defined as the rate of flow of: Electric charge
18. The charge carriers in metals are: Electrons
19. In the equation J = σE, if the electric field E is doubled, the current density J becomes: Double
20. If the voltage across a resistor is doubled, and the resistance remains constant, the current through the resistor will: Double
21. If the length of a conductor is doubled while keeping the cross-sectional area and applied voltage constant, the drift velocity of electrons will: Remain the same
22. If the conductivity of a material is high, its resistivity is: Low
23. If the current density (J) in a conductor is uniform and the area of cross-section is A, the total current I is given by: I = J A
24. Which of the following correctly relates electric current (I), drift velocity (v_d), charge carrier density (n), charge of carrier (q), and area of cross-section (A)? I = n A v_d q
25. Which of the following represents the mathematical definition of electric current (I)? I = Q/t
26. What is the direction of drift velocity of electrons in a conductor when an electric field is applied? Opposite to the direction of the electric field
27. If the relaxation time (τ) of electrons in a conductor decreases, the drift velocity for a given electric field will: Decrease
28. If the temperature of a semiconductor increases, its resistance: Decreases
29. What happens to the drift velocity of electrons in a wire if its cross-sectional area is increased, while the current remains the same? It decreases
30. If a material has very high electron mobility, it implies that: Electrons can drift easily under a small electric field
31. Which of the following statements is INCORRECT regarding drift velocity? It is independent of the temperature of the conductor.
32. Which statement best describes the microscopic form of Ohm's law? J = σ E, where J is current density, σ is conductivity, and E is electric field.
33. The relation I = n A v_d q can be rewritten using v_d = μE and E = V/L as I = n A μ q (V/L). This implies that the resistance R is proportional to: L / (n A μ q)
34. The SI unit of mobility is: m/(V·s)
35. The resistance of a wire depends on: Material, length, and area of cross-section
36. Ohm's law is not valid for: All of the above
37. The charge carriers in semiconductors (like Silicon) are: Electrons and holes
38. If a resistor obeys Ohm's law, its V-I graph is a: Straight line passing through the origin
39. If two resistors R₁ and R₂ are connected in series, the equivalent resistance is: R₁ + R₂
40. If two resistors R₁ and R₂ are connected in parallel, the equivalent resistance is: R₁ R₂ / (R₁ + R₂)
41. The average time between successive collisions of electrons with the lattice ions in a conductor is called: Relaxation time (τ)
42. Conductivity (σ) is the reciprocal of: Resistivity (ρ)
43. Drift velocity is defined as: The average velocity with which free electrons get drifted under the influence of an external electric field.
44. What is Ohm's Law? The current through a conductor is directly proportional to the voltage across its ends, provided temperature and other physical conditions remain unchanged.
45. The drift velocity (v_d) of charge carriers in a conductor is proportional to:
46. Drift velocity is directly proportional to relaxation time (τ) and electric field (E). The relation is: v_d = e E τ / m
47. The relationship between drift velocity (v_d) and electric field (E) is given by: v_d = μ E
48. What is the SI unit of electric current? Ampere
49. Ohm's law is fundamentally a statement about the relationship between: Electric field and current density
50. What is the definition of mobility (μ) in terms of drift velocity (v_d) and electric field (E)? μ = v_d / E