Physics · Paper 2

CP10 · Magnetism and the motor effect

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Revise the key ideas

Magnets and magnetic materials

  • A permanent magnet produces its own lasting magnetic field. An induced magnet becomes magnetised in another field and can lose much of that magnetism when the field is removed.
  • Magnets have north-seeking and south-seeking poles. Like poles repel; unlike poles attract. An isolated ordinary north pole cannot be obtained by simply cutting a magnet in half: each piece has both poles.
    Magnetic poles interactionTwo north poles repel; a north and a south pole attract.NNRepelNSAttract
    The arrows show forces on the magnets; like poles repel.
  • Iron, nickel, cobalt and many alloys containing them can be magnetic. Steel can retain magnetism, making it suitable for permanent magnets; soft iron magnetises and demagnetises readily, suiting temporary electromagnet cores.
  • An initially unmagnetised magnetic material is attracted towards a magnet through induced magnetism. Aluminium, copper and plastic are not the usual magnetic materials in this GCSE model.
  • Uses include magnetic catches/locks, sorting iron-containing materials, motors and speakers. The choice of permanent or switchable magnet depends on the intended task.

Field lines, compasses and Earth

  • A magnetic field is a region where magnets or magnetic materials experience magnetic forces. Field lines show the direction a north-seeking test pole would move.
  • Outside a bar magnet, field lines go from north to south. Lines form loops, continuing inside from south to north, and do not cross.
    Bar magnet field directionOutside loops run north to south, while the internal direction is south to north.NSOutside: N → S; inside: S → N
    Field lines form loops and do not cross.
  • Closer field-line spacing represents a stronger field. Around a bar magnet, the field is strongest near the poles.
  • A uniform field is represented by parallel, equally spaced lines in one direction. It can be approximated in the gap between broad opposing poles.
  • Use a plotting compass to map a field: mark the direction of its north-seeking end at successive positions, then join marks with arrows. Move the compass systematically and keep the magnet fixed.
  • Iron filings show the field's pattern but not its direction by themselves. A compass provides directional information.
  • A compass turns to align with Earth’s field. Near geographic north, Earth has the magnetic character of a south pole, attracting a compass's north-seeking end.
  • Earth's field is approximately dipole-shaped (like a field with two magnetic poles) and provides evidence of a magnetic interior; its origin is moving conducting material in the core, not a permanent solid bar magnet at the centre.

Current creates a magnetic field

  • A current in a wire produces a magnetic field. A nearby compass deflects when the current is switched on; reversing current reverses the deflection.
  • Around a long straight wire, field lines are concentric circles centred on the wire. The field becomes weaker further from the wire and stronger for a larger current.
  • Use the right-hand grip rule: thumb points in conventional-current direction and curled fingers show the field direction. A dot means out of the page; a cross means into the page.
  • For current out of the page, the circular field is anticlockwise as viewed. For current into the page, the field is clockwise.
    Field around current out of pageViewed end-on, outward current shown by dot gives anticlockwise magnetic field.Dot: current towards you; field anticlockwise
    Right-hand thumb points towards you; fingers curl anticlockwise.
  • A solenoid is a coil of wire. Its individual turns combine to produce a strong nearly uniform field along its interior, with a weaker external pattern resembling a bar magnet.
    Solenoid interior fieldCoil schematic with parallel field lines along its interior, from internal south towards north.SNNearly uniform internal field; coil schematic
    Reversing current reverses the poles and field direction.
  • Increase solenoid field using greater current, more turns per unit length or a soft-iron core. The field can be switched on/off with current; reversing current reverses the poles.
  • Use low-voltage supplies, limit current and switch off when not measuring to avoid wire overheating. Compare electromagnets with a repeatable measure, such as the mass they can lift.

Motor effect and directions (Higher tier)

  • A current-carrying conductor in a magnetic field can experience a force due to interaction of the fields. The magnet experiences an equal and opposite force; these act on different objects.
  • The motor effect is this force on a current-carrying conductor. It can produce movement; reversing current or field reverses the force direction.
  • The force is greatest when current is perpendicular to the magnetic field and zero when parallel. Reversing both current and field leaves the force direction unchanged.
  • Fleming’s left-hand rule uses the thumb, first finger and second finger at right angles to each other. Thumb = force/motion; first finger = magnetic field from N to S; second finger = conventional current.
  • If field points right and current is out of the page, force is upwards. If current is into the page instead, force is downwards.
    Motor force directionMagnetic field right, current out of page, force up. The dot denotes current towards the viewer.Force upB → right; I ⊙ out of pageReverse current alone → force reverses
    Fleming’s left-hand rule gives these three perpendicular directions.
  • Do not confuse the two rules: right-hand grip finds a wire's own field; Fleming’s left hand finds the motor-effect force when current and external field are known.

Calculating the force (Higher tier)

  • For a straight conductor at right angles to a uniform magnetic field, F = BIl. Force F is in N, flux density B in tesla (T), current I in A and length l in m.
  • Use only the length of wire actually inside the field. Convert centimetres to metres; the equation as written assumes perpendicular current and field.
  • For B = 0.5 T, I = 2 A and l = 0.1 m, F = 0.1 N. Increasing any one factor increases force proportionally if the others stay fixed.
    Motor force calculationB = 0.5 T; I = 2 A; l = 0.1 m → F = BIl = 0.5 × 2 × 0.1 → Force = 0.1 N (wire perpendicular to field)B = 0.5 T; I = 2 A; l = 0.1 mF = BIl = 0.5 × 2 × 0.1Force = 0.1 N (wire perpendicular to field)
    l is the length within the magnetic field.
  • Rearrange to B = F/(Il), I = F/(Bl) or l = F/(BI). Magnetic flux density B measures how strong the magnetic field is in this relationship. It is measured in tesla, not newtons or joules.

Calculating the force (Higher tier)

  • Field and force — For a wire perpendicular to a uniform magnetic field, F = BIl. With B = 0.20 T, I = 3.0 A and wire length within the field 0.050 m, F = 0.030 N. Use the length actually inside the field, not the whole connecting cable. The field direction and conventional-current direction determine the force direction through Fleming's left-hand rule. Reversing both directions leaves the force direction unchanged; reversing only one reverses it.

Mind map

Use the branches to recall the ideas and explain their connections. Check the revision notes for the full detail.

CP10 · Overview

View CP10 · Overview mind map
CP10 CP10 · Overview mind map: Magnets / fields, Current fields, Motor · Higher, Force · Higher. A text version follows.
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CP10 · Further applications 1

View CP10 · Further applications 1 mind map
CP10 CP10 · Further applications 1 mind map: Recall link, Application 1. A text version follows.
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Read the mind map as text

Magnets / fields

  • Magnet types: Permanent / induced; N and S poles; like repel, unlike attract
  • Materials: Steel retains; soft iron switches readily; not every metal magnetic
  • Field arrows: North test pole direction; outside bar N → S; loops never cross
  • Strength: Closer lines stronger; uniform lines parallel / equally spaced
  • Map field: Compass gives direction; filings only pattern
  • Earth: Compass aligns; geographic north has south-like magnetic character

Current fields

  • Wire: Current gives circular field; larger I stronger, distance weaker
  • Right-hand grip: Thumb: conventional I; fingers: field; dot out / cross in
  • Direction: Out-of-page current → anticlockwise field; inward → clockwise
  • Solenoid: Coil: near-uniform interior field; bar-like outside
  • Strength / care: Increase I / turns per length / iron core; avoid overheating

Motor · Higher

  • Interaction: Current in external field experiences force; paired force on magnet
  • Orientation: Greatest when perpendicular; zero when parallel; reversal rules
  • Fleming left hand: Thumb force; first finger field; second conventional current
  • Example / rule: Field right + I out of page → force up; grip rule is different

Force · Higher

  • Equation: F = BIl for wire perpendicular to uniform field
  • Units / length: N, T, A, m; only wire length inside field
  • Example: 0.5 T × 2 A × 0.1 m = 0.1 N
  • Rearrange: B = F/(Il); magnetic flux density measured in tesla

Recall link

  • Equation: F = BIl for wire perpendicular to uniform field
  • Units / length: N, T, A, m; only wire length inside field

Application 1

  • Field and force: Use the in-field length and distinguish force size from direction.

Connections

  • Current fields → Motor · Higher: Interaction with an external field produces the motor force.
  • Motor · Higher → Force · Higher: Perpendicular orientation gives F = BIl.

Part connections

  • CP10 · Overview: Current fields → Motor · Higher — Interaction with an external field produces the motor force.
  • CP10 · Overview: Motor · Higher → Force · Higher — Perpendicular orientation gives F = BIl.
  • CP10 · Further applications 1: Recall link → Application 1 — Current, field and in-field length determine force

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