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