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s1177
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the-first-and-second-right-hand-rules
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Grades
Secondary IV
Topic
Science and Technology
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magnet
electromagnetism
magnetism
electricity
magnetic field
solenoid
Introduction

A magnetic field is produced when an electric charge is in motion. You can use the first or second right-hand rule to determine the direction of the magnetic field, depending on whether the current is flowing through a straight wire or a solenoid.

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Magnetic Field of a Straight Wire
Title slug (identifier)
magnetic-field-of-a-straight-wire
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A magnetic field is invisible to the naked eye. In order to visualize it better, it is represented by imaginary lines called magnetic field lines.

  • The arrows indicate the direction of the north pole of a compass placed in this field. 
  • The spacing between the lines represents the strength of the magnetic field
    • Closer spacing = a strong magnetic field
    • Wider spacing = a weak magnetic field.

When an electrical current flows through a straight wire, a circular magnetic field is produced around the wire. 

This is represented by circles with the same centre (the wire), called concentric circles. The further away a circle is from the wire, the weaker the field, which is why the outer circles have more space between them.

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Diagram of a magnetic field forming concentric circles around a straight wire carrying an electrical current. The centre of the circles is the wire.
Title (level 3)
Orientation of a Compass in Relation to a Straight Wire
Title slug (identifier)
direction-of-the-magnetic-field-of-a-straight-wire
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(First Right-Hand Rule)

You can use the first right-hand rule to determine the direction of magnetic field lines (or the orientation of the north pole of a compass) around a straight wire.

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The first right-hand rule

  • The thumb of the right hand points in the conventional current direction, i.e., from the positive terminal to the negative terminal.
  • The direction of the fingers wrapped around the wire follow the direction of the magnetic field lines.
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How to position the right hand around a vertical straight wire to apply the first right-hand rule.
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Positioning of the right hand around a horizontal straight wire to apply the first right-hand rule.
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Positioning of the right hand around a wire flowing in or out the plane, to apply the first right-hand rule.
Title (level 3)
What factors affect the magnetic field intensity of a straight wire?
Title slug (identifier)
factors-affecting-the-magnetic-field-of-a-straight-wire
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The intensity of the magnetic field produced around a straight wire depends on several factors, including:

  • The intensity of the electrical current
  • The nature of the wire
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Comparison of field lines around two identical straight wires carrying currents of different intensities.
Description

The greater the current intensity (I), the more powerful the magnetic field produced will be. 

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Two straight wires with the same dimensions powered by identical voltage sources. The copper wire is a better electrical conductor than the aluminum wire. As a result, the intensity of the magnetic field produced around the copper wire is greater than the intensity of the magnetic field produced around the aluminum wire.
Description

The greater the electrical conductivity of the wire’s material, the more powerful its magnetic field will be.

Title (level 2)
Magnetic Field of a Solenoid (AST and EST)
Title slug (identifier)
solenoide
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A solenoid is a conducting wire wound into a helix shape (like a spring). Each coil of wire is called a turn.

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Image of a solenoid on which one of the coils is coloured and labelled as a turn.
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When an electrical current flows through a solenoid, the magnetic fields produced around each turn of wire combine to form a single, much more powerful field, similar to the field produced around a bar magnet.

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The sum of the magnetic fields around each turn of a solenoid forms a magnetic field similar to the field of a bar magnet.
Title
Magnetic Field of a Solenoid
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Similarity between the shape of the magnetic field of a bar magnet and that of a solenoid.
Description

As with a bar magnet, the magnetic field outside a solenoid runs from its north pole to its south pole. Inside a solenoid, the magnetic field runs from its south pole to its north pole.

Title (level 3)
How to Locate a Solenoid’s North Pole
Title slug (identifier)
pole
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The position of the north pole and south pole of a solenoid is dictated by the direction of the electrical current flowing through it. The poles of a solenoid can therefore be inverted by changing the direction of the current in the circuit.

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You can use the second right-hand rule to find the north pole of a solenoid.

The second right-hand rule

  • The fingers of the right hand are wrapped around the solenoid in the conventional current direction
  • In this position, the thumb points to the north pole of the solenoid, and the south pole is at the opposite end. 
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How to position the right hand around a solenoid to apply the second right-hand rule.
Title (level 3)
What Factors Affect the Magnetic Field Intensity of a Solenoid?
Title slug (identifier)
intensity-factors-solenoid
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The intensity of the magnetic field produced by a solenoid depends on several factors, including:

  • The intensity of the electrical current flowing through it
  • The number of turns (coils) in the solenoid
  • The presence of a core (rod in the centre) and its nature.
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Comparison of magnetic field lines around two solenoids carrying electric currents of different intensities.
Description

The higher the intensity of the electric current, the stronger the magnetic field produced by a solenoid.

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Comparison of field lines around two solenoids with a different number of turns.
Description

The more turns a solenoid has, the stronger the magnetic field will be.

Corps

The addition of a ferromagnetic rod in the centre of a solenoid will considerably increase the intensity of its magnetic field. This rod is called a core.

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Image comparing the magnetic field lines of two solenoids, one with a ferromagnetic core, the other without.
Description

When an electrical current flows through a solenoid, the core becomes magnetized and its magnetic field reinforces the field produced by the solenoid. The nature of the core also affects the intensity of the magnetic field.

Title (level 3)
What Are Solenoids Used For?
Title slug (identifier)
solenoids-used-fo
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A device capable of producing a powerful, temporary magnetic field is called an electromagnet. Solenoids with ferromagnetic cores are electromagnets.

In engineering, electromagnets are commonly used to make many technological objects all around us.

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A speaker needs an electromagnet to work.

A speaker is made up of a flexible membrane attached to the solenoid of an electromagnet. The solenoid is mounted in the centre of the speaker, so that it only allows translational motion.

The electromagnet is surrounded by a permanent magnet. This makes it so that when an electrical signal passes through the electromagnet, the magnetic field it produces interacts with the permanent magnet.

Depending on the direction and intensity of the current flowing through the electromagnet, the solenoid is attracted or repelled by the permanent magnet, causing it to oscillate.

The oscillating motion of the solenoid is then transmitted to the flexible membrane, enabling it to momentarily compress the surrounding air particles and produce a sound wave. 
 

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Some of the components that interact with the electromagnet in a speaker.
Title
The Role of Electromagnets in Speakers
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A lifting electromagnet is commonly used in metal recycling yards to move scrap metal around. When powered by an electrical current, these gigantic electromagnets produce a magnetic field capable of attracting tons of ferromagnetic waste.

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Image of a crane equipped with a lifting electromagnet moving scrap metal.
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Exercises
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exercises
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see-also
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