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A 2 A wire carrying, 0.3 m in a 0.5 T perpendicular field, feels a 0.3 N force, and a proton at 10⁶ m/s through 0.1 T feels 1.6 × 10⁻¹⁴ N, so this IB sheet opens with two F = BIL and F = qvB calculations. The tesla is the field unit in the key.
Key Takeaways
A 2 A wire of length 0.3 m in a 0.5 T field feels 0.3 N (Q1).
A proton at 10⁶ m/s in a 0.1 T field feels 1.6 × 10⁻¹⁴ N (Q2).
Q3 records tesla as the field unit.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.
A wire carries 2 A perpendicular to a magnetic field of 0.5 T. A length of 0.3 m of the wire is in the field. The force on it is
(a) 0.3 N (b) 0.15 N (c) 3 N (d) 0.03 N
2.
A proton moving at 10⁶ m/s perpendicular to a 0.1 T field experiences a force of (q = 1.6 × 10⁻¹⁹ C)
(a) 1.6 × 10⁻¹⁴ N (b) 1.6 × 10⁻¹² N (c) 1.6 × 10⁻¹⁶ N (d) 1.6 × 10⁻²⁰ N
3.
The SI unit of magnetic flux density is the
(a) weber (b) tesla (c) henry (d) volt
4.
The direction of the magnetic force on a current-carrying conductor in a magnetic field is given by
(a) Fleming's right-hand rule (b) Fleming's left-hand rule (c) the left-hand grip rule (d) Ohm's rule
5.
A coil of area 0.5 m² is placed perpendicular to a uniform field of 0.2 T. The magnetic flux through the coil is
(a) 0.1 Wb (b) 0.25 Wb (c) 1 Wb (d) 0.4 Wb
6.
A charged particle moves parallel to a uniform magnetic field. The magnetic force on it is
(a) maximum (b) zero (c) half the maximum (d) in the direction of motion
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.
Define the tesla in terms of the force on a current-carrying wire.
8.
State the factors that determine the magnitude of the force on a straight current-carrying wire in a magnetic field.
9.
Explain why no magnetic force acts on a wire placed parallel to the magnetic field.
10.
State what is represented by each finger in Fleming's left-hand rule.
11.
Define magnetic flux and state its SI unit.
12.
State Faraday's law of electromagnetic induction.
13.
Explain what is meant by the magnetic flux linkage of a coil.
14.
State what happens to the force on a wire if the current through it is reversed.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.
Using F = BIL, calculate the force on a 5 A wire placed perpendicular to a 0.3 T field when 0.2 m of the wire is in the field.
16.
Using B = F ÷ (IL), calculate the magnetic flux density when a force of 0.08 N acts on a 0.1 m wire carrying 4 A perpendicular to the field.
17.
Using F = qvB with q = 1.6 × 10⁻¹⁹ C, calculate the force on an electron moving at 2 × 10⁶ m/s perpendicular to a 0.05 T field.
18.
Using Φ = BA, calculate the magnetic flux through a coil of area 2 m² placed perpendicular to a uniform field of 0.5 T.
19.
A flux of 0.2 Wb links a coil of 100 turns and is removed in 0.5 s. Using emf = N ΔΦ ÷ Δt, calculate the induced emf.
20.
Using F = BIL, calculate the force on a 0.8 m wire carrying 2 A perpendicular to a 0.5 T field.
Answer Key
1. a) 0.3 N
2. a) 1.6 × 10⁻¹⁴ N
3. b) tesla
4. b) Fleming's left-hand rule
5. a) 0.1 Wb
6. b) zero
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What force acts on a 2 A wire of length 0.3 m in a 0.5 T field?
0.3 N, option (a) in this worksheet (Q1).
What force acts on a proton at 10⁶ m/s in a 0.1 T field?
1.6 × 10⁻¹⁴ N, option (a) in this worksheet (Q2).
What is the unit of magnetic field?
The tesla, option (b) in this worksheet (Q3).