This topic covers calculating the force on a current-carrying wire in a magnetic field and describing the motion of charged particles in magnetic fields. I
Topic Synopsis
This topic covers calculating the force on a current-carrying wire in a magnetic field and describing the motion of charged particles in magnetic fields. It applies the Lorentz force law.
Key Concepts & Core Principles
- Electric field strength (E = F/Q) and how it relates to force on a test charge; radial and uniform field patterns with direction from positive to negative.
- Coulomb's law: F = kQ1Q2/r² for the force between two point charges, and how it leads to the concept of electric field strength for a point charge (E = kQ/r²).
- Magnetic flux density (B) and the force on a current-carrying wire (F = BIL sinθ) and on a moving charge (F = BQv sinθ), including Fleming's left-hand rule.
- Faraday's law of electromagnetic induction: induced emf = -NΔΦ/Δt, and Lenz's law as a consequence of conservation of energy.
- Comparison of electric and magnetic fields: electric fields exert forces on stationary charges, while magnetic fields only exert forces on moving charges; electric field lines start and end on charges, magnetic field lines form closed loops.
Exam Tips & Revision Strategies
- Draw diagrams to show directions clearly.
- Check units: tesla, amperes, metres, newtons.
- Remember that magnetic force does no work.
- Draw field lines with arrows correctly.
- Use vector addition for multiple charges.
- Remember that field strength is a vector.
- Memorise the exponential equations for charging/discharging.
- Practice drawing graphs with correct asymptotes.
Common Misconceptions & Mistakes to Avoid
- Forgetting that force is perpendicular to both current and field.
- Using the wrong hand rule for particle charge.
- Mixing up equations for force on a wire vs. moving charge.
- Confusing electric field strength with electric potential.
- Incorrect direction of field lines (from positive to negative).
- Forgetting units (N/C or V/m).
Examiner Marking Points
- Calculate the magnitude and direction of force on a current-carrying wire.
- Describe the circular motion of a charged particle in a uniform magnetic field.
- Apply Fleming's left-hand rule correctly.
- Calculate electric field strength using E = F/q or E = V/d.
- Calculate electric potential and potential difference.
- Describe field patterns for point charges (radial) and parallel plates (uniform).
- Explain the relationship between field lines and equipotentials.
- Calculates capacitance using C = Q/V and energy using E = ½CV².