Force on a Current-carrying Conductor in a Magnetic Field

4.1 Force on a Current-carrying Conductor in a Magnetic Field
PHYSICS • Form 5 • Chapter 4: Electromagnetism

4.1 Force on a Current-carrying Conductor in a Magnetic Field

Electric motors are essential components found in large machinery like electric trains as well as tiny everyday gadgets like smartphones. Most electric motors operate on a fundamental electromagnetic principle: when a current-carrying conductor is placed inside an external magnetic field, it experiences a magnetic force. This topic explores how this force is formed through catapult fields, how to determine its direction using Fleming's left-hand rule, the factors determining its magnitude and rotational speed, and how brushed and brushless direct current (d.c.) motors function.

Learning Objectives

  • Describe the effect of a magnetic field on a current-carrying conductor.
  • Explain the formation of a catapult field and determine the direction of force acting on a conductor using Fleming's left-hand rule.
  • State the factors affecting the magnitude of the force acting on a current-carrying conductor in a magnetic field.
  • Explain the turning effect of a current-carrying coil in a magnetic field and the working principle of a direct current motor.
  • Identify the factors affecting the speed of rotation of an electric motor.
  • Compare and contrast the characteristics and advantages of a brushed motor and a brushless motor.

Formation of a Catapult Field and Fleming's Left-Hand Rule

See how opposing and reinforcing magnetic field lines create strong and weak field regions resulting in a net force, alongside the hand orientation of Fleming's left-hand rule.

1. Formation of a Catapult Field
Two diagrams showing a catapult field: the permanent magnetic field from the north to south pole combines with the circular field around a current-carrying conductor to produce a resultant field and force on the conductor.
2. Fleming's Left-Hand Rule
Fleming's left-hand rule: the index finger shows the magnetic field, the middle finger shows electric current and the thumb shows force; an example of a conductor between north and south poles is included.

Short Explanation

Force on a Current-Carrying Conductor

When a conductor carrying an electric current is placed in an external magnetic field, it experiences a magnetic force. Reversing the direction of the electric current reverses the direction of the force. Reversing the magnetic poles also reverses the direction of the force.

Resultant Magnetic Field (Catapult Field)

The force is produced by the interaction between the magnetic field produced by the electric current and the uniform magnetic field from the permanent magnets. The resultant combined field is known as a catapult field.

Fleming's Left-Hand Rule

Used to determine the direction of the force acting on a current-carrying conductor. The Thumb points in the direction of the Force, the Index finger points in the direction of the Magnetic Field, and the Middle finger points in the direction of the electric Current.

Factors Affecting the Magnitude of the Force

Increasing the current increases the force acting on the conductor. Using stronger magnets or placing magnetic poles closer together also increases the force acting on the conductor.

Factor Change in Factor Effect on Force
Magnitude of current Increase current Force increases
Strength of magnetic field Use stronger magnets Force increases
Strength of magnetic field Place magnetic poles closer together Force increases

Try to Answer First

Answer in your mind, then press “Check Answer”.

1

What is meant by a catapult field?

Check Answer
Answer: A catapult field is a resultant magnetic field produced by the interaction between the magnetic field from a current-carrying conductor and the magnetic field from a permanent magnet.
2

State the direction in which a current-carrying conductor moves within a catapult field.

Check Answer
Answer: The conductor moves from the region of the stronger magnetic field to the region of the weaker magnetic field.
3

Why is a split-ring commutator needed in a direct current motor?

Check Answer
Answer: It reverses the direction of current in the coil every half-rotation (180°) so that the turning forces acting on the sides of the coil continue to rotate the coil in the same direction.

Common Mistakes

  • !Confusing Fleming's left-hand rule with Fleming's right-hand rule. The left-hand rule is for motors/force on a current-carrying conductor; the right-hand rule is for electromagnetic induction/generators.
  • !Misidentifying which finger represents which physical quantity in Fleming's left-hand rule, such as swapping current and magnetic field.
  • !Forgetting that the force pushes the wire from the strong field region to the weak field region, not the other way around.
  • !Assuming conventional current flows from negative to positive. Conventional current always flows from the positive terminal to the negative terminal.
  • !Claiming that a brushless motor has rotating coils. In a brushless motor, the coils are stationary while the permanent magnet rotates.

Concept Misunderstandings

Misunderstanding

The force on the wire is caused by electrostatic attraction or repulsion between charges.

Correct Concept

The force is entirely magnetic, arising from the vector superposition and interaction of two magnetic fields: the field of the external magnet and the field generated by the moving charges in the wire.

Misunderstanding

A current-carrying wire will experience a force in any orientation within a magnetic field.

Correct Concept

If the conductor is placed parallel to the magnetic field lines, no catapult field is formed and no magnetic force acts on the conductor. The force is maximum when the conductor is perpendicular to the field lines.

Misunderstanding

The commutator changes the d.c. power supply into an a.c. supply outside the motor.

Correct Concept

The power supply remains direct current; the split-ring commutator acts internally as a mechanical switch to alternate the current direction within the rotating coil itself every half-turn.

Summary

  • A current-carrying conductor placed in a magnetic field experiences a force due to the combination of magnetic fields forming a catapult field.
  • Conductor motion is directed from the stronger magnetic field region towards the weaker magnetic field region.
  • Fleming's left-hand rule gives the direction of the force: Thumb = Force/Motion, Index finger = Field (N → S), Middle finger = Current (+ → -).
  • The magnitude of the force increases when current magnitude increases or magnetic field strength increases.
  • A direct current motor uses a coil in a magnetic field to convert electrical energy to kinetic energy.
  • The split-ring commutator reverses current direction in the coil every half-rotation to maintain continuous rotation in one direction.
  • Motor rotation speed can be increased by increasing current, increasing magnetic field strength, or increasing the number of turns in the coil.
  • Brushless motors offer higher efficiency, no sparking, quieter operation, and longer lifespan compared to brushed motors because they eliminate the friction of carbon brushes.

Short Activity

Objective: Identify catapult field, Fleming's left-hand rule, commutator and motor characteristics.

A. Objective Quiz

1 Which of the following correctly pairs each finger in Fleming's left-hand rule with the physical quantity it represents?

2 What is the primary role of the split-ring commutator in a simple direct current motor?

B. Fill in the Blanks

3 In a catapult field, the resultant force acts on the conductor from the region of magnetic field to the region of weaker magnetic field.

4 In a brushless direct current motor, the is stationary while the permanent magnet rotates.

C. Matching / Drag and Drop

Drag each term to the correct meaning. If using a phone, tap the answer first, then tap the matching box.

Choices
Catapult field
Carbon brush
Brushed motor
Brushless motor
Descriptions
Resultant non-uniform magnetic field formed by the interaction of two magnetic fieldsCorrect ✓Try againEmpty
Fixed contact that maintains sliding electrical connection with the rotating commutatorCorrect ✓Try againEmpty
Experiences friction and sparking between the commutator and contact brushesCorrect ✓Try againEmpty
Operates with softer noise and without commutator sparking because carbon brushes are absentCorrect ✓Try againEmpty
 

Keywords

Catapult field Fleming's left-hand rule Commutator Carbon brush Brushed motor Brushless motor

Force on a Current-carrying Conductor in a Magnetic Field

4.1 Force on a Current-carrying Conductor in a Magnetic Field
PHYSICS • Form 5 • Chapter 4: Electromagnetism

4.1 Force on a Current-carrying Conductor in a Magnetic Field

Electric motors are essential components found in large machinery like electric trains as well as tiny everyday gadgets like smartphones. Most electric motors operate on a fundamental electromagnetic principle: when a current-carrying conductor is placed inside an external magnetic field, it experiences a magnetic force. This topic explores how this force is formed through catapult fields, how to determine its direction using Fleming's left-hand rule, the factors determining its magnitude and rotational speed, and how brushed and brushless direct current (d.c.) motors function.

Learning Objectives

  • Describe the effect of a magnetic field on a current-carrying conductor.
  • Explain the formation of a catapult field and determine the direction of force acting on a conductor using Fleming's left-hand rule.
  • State the factors affecting the magnitude of the force acting on a current-carrying conductor in a magnetic field.
  • Explain the turning effect of a current-carrying coil in a magnetic field and the working principle of a direct current motor.
  • Identify the factors affecting the speed of rotation of an electric motor.
  • Compare and contrast the characteristics and advantages of a brushed motor and a brushless motor.

Formation of a Catapult Field and Fleming's Left-Hand Rule

See how opposing and reinforcing magnetic field lines create strong and weak field regions resulting in a net force, alongside the hand orientation of Fleming's left-hand rule.

1. Formation of a Catapult Field
Two diagrams showing a catapult field: the permanent magnetic field from the north to south pole combines with the circular field around a current-carrying conductor to produce a resultant field and force on the conductor.
2. Fleming's Left-Hand Rule
Fleming's left-hand rule: the index finger shows the magnetic field, the middle finger shows electric current and the thumb shows force; an example of a conductor between north and south poles is included.

Short Explanation

Force on a Current-Carrying Conductor

When a conductor carrying an electric current is placed in an external magnetic field, it experiences a magnetic force. Reversing the direction of the electric current reverses the direction of the force. Reversing the magnetic poles also reverses the direction of the force.

Resultant Magnetic Field (Catapult Field)

The force is produced by the interaction between the magnetic field produced by the electric current and the uniform magnetic field from the permanent magnets. The resultant combined field is known as a catapult field.

Fleming's Left-Hand Rule

Used to determine the direction of the force acting on a current-carrying conductor. The Thumb points in the direction of the Force, the Index finger points in the direction of the Magnetic Field, and the Middle finger points in the direction of the electric Current.

Factors Affecting the Magnitude of the Force

Increasing the current increases the force acting on the conductor. Using stronger magnets or placing magnetic poles closer together also increases the force acting on the conductor.

Factor Change in Factor Effect on Force
Magnitude of current Increase current Force increases
Strength of magnetic field Use stronger magnets Force increases
Strength of magnetic field Place magnetic poles closer together Force increases

Try to Answer First

Answer in your mind, then press “Check Answer”.

1

What is meant by a catapult field?

Check Answer
Answer: A catapult field is a resultant magnetic field produced by the interaction between the magnetic field from a current-carrying conductor and the magnetic field from a permanent magnet.
2

State the direction in which a current-carrying conductor moves within a catapult field.

Check Answer
Answer: The conductor moves from the region of the stronger magnetic field to the region of the weaker magnetic field.
3

Why is a split-ring commutator needed in a direct current motor?

Check Answer
Answer: It reverses the direction of current in the coil every half-rotation (180°) so that the turning forces acting on the sides of the coil continue to rotate the coil in the same direction.

Common Mistakes

  • !Confusing Fleming's left-hand rule with Fleming's right-hand rule. The left-hand rule is for motors/force on a current-carrying conductor; the right-hand rule is for electromagnetic induction/generators.
  • !Misidentifying which finger represents which physical quantity in Fleming's left-hand rule, such as swapping current and magnetic field.
  • !Forgetting that the force pushes the wire from the strong field region to the weak field region, not the other way around.
  • !Assuming conventional current flows from negative to positive. Conventional current always flows from the positive terminal to the negative terminal.
  • !Claiming that a brushless motor has rotating coils. In a brushless motor, the coils are stationary while the permanent magnet rotates.

Concept Misunderstandings

Misunderstanding

The force on the wire is caused by electrostatic attraction or repulsion between charges.

Correct Concept

The force is entirely magnetic, arising from the vector superposition and interaction of two magnetic fields: the field of the external magnet and the field generated by the moving charges in the wire.

Misunderstanding

A current-carrying wire will experience a force in any orientation within a magnetic field.

Correct Concept

If the conductor is placed parallel to the magnetic field lines, no catapult field is formed and no magnetic force acts on the conductor. The force is maximum when the conductor is perpendicular to the field lines.

Misunderstanding

The commutator changes the d.c. power supply into an a.c. supply outside the motor.

Correct Concept

The power supply remains direct current; the split-ring commutator acts internally as a mechanical switch to alternate the current direction within the rotating coil itself every half-turn.

Summary

  • A current-carrying conductor placed in a magnetic field experiences a force due to the combination of magnetic fields forming a catapult field.
  • Conductor motion is directed from the stronger magnetic field region towards the weaker magnetic field region.
  • Fleming's left-hand rule gives the direction of the force: Thumb = Force/Motion, Index finger = Field (N → S), Middle finger = Current (+ → -).
  • The magnitude of the force increases when current magnitude increases or magnetic field strength increases.
  • A direct current motor uses a coil in a magnetic field to convert electrical energy to kinetic energy.
  • The split-ring commutator reverses current direction in the coil every half-rotation to maintain continuous rotation in one direction.
  • Motor rotation speed can be increased by increasing current, increasing magnetic field strength, or increasing the number of turns in the coil.
  • Brushless motors offer higher efficiency, no sparking, quieter operation, and longer lifespan compared to brushed motors because they eliminate the friction of carbon brushes.

Short Activity

Objective: Identify catapult field, Fleming's left-hand rule, commutator and motor characteristics.

A. Objective Quiz

1 Which of the following correctly pairs each finger in Fleming's left-hand rule with the physical quantity it represents?

2 What is the primary role of the split-ring commutator in a simple direct current motor?

B. Fill in the Blanks

3 In a catapult field, the resultant force acts on the conductor from the region of magnetic field to the region of weaker magnetic field.

4 In a brushless direct current motor, the is stationary while the permanent magnet rotates.

C. Matching / Drag and Drop

Drag each term to the correct meaning. If using a phone, tap the answer first, then tap the matching box.

Choices
Catapult field
Carbon brush
Brushed motor
Brushless motor
Descriptions
Resultant non-uniform magnetic field formed by the interaction of two magnetic fieldsCorrect ✓Try againEmpty
Fixed contact that maintains sliding electrical connection with the rotating commutatorCorrect ✓Try againEmpty
Experiences friction and sparking between the commutator and contact brushesCorrect ✓Try againEmpty
Operates with softer noise and without commutator sparking because carbon brushes are absentCorrect ✓Try againEmpty
 

Keywords

Catapult field Fleming's left-hand rule Commutator Carbon brush Brushed motor Brushless motor