Syllabus Edition
First teaching 2023
First exams 2025
Magnetic Fields in Wires, Coils & Solenoids (Cambridge (CIE) A Level Physics)
Revision Note
Magnetic fields in wires, coils & solenoids
Magnetic fields are formed wherever a current flow, such as in:
long straight wires
long solenoids
flat circular coils
Magnetic field around a current-carrying wire
Magnetic field lines in a current-carrying wire are circular rings, centred on the wire
The field lines are closer together near the wire, where the field is strongest
The field lines become further apart with distance from the wire as the field becomes weaker
Reversing the current reverses the direction of the field
The direction of the field around a current-carrying wire can be determined using the right-hand grip rule
The field lines are clockwise or anticlockwise around the wire, depending on the direction of the current
The direction of the magnetic field can be determined using the right-hand grip rule
This is determined by pointing the right-hand thumb in the direction of the current in the wire and curling the fingers onto the palm
The direction of the curled fingers represents the direction of the magnetic field around the wire
For example, if the current is travelling vertically upwards, the magnetic field lines will be directed anticlockwise, as seen from directly above the wire
Note: the direction of the current is taken to be the conventional current i.e. from positive to negative, not the direction of electron flow
Magnetic field around a solenoid
As seen from a current-carrying wire, an electric current produces a magnetic field
An electromagnet utilises this by using a coil of wire called a solenoid
This increases the magnetic flux density by adding more turns of wire into a smaller region of space
One end of the solenoid becomes a north pole and the other becomes the south pole
The magnetic field lines around a solenoid are similar to a bar magnet
As a result, the field lines around a solenoid are similar to a bar magnet
The field lines emerge from the north pole
The field lines return to the south pole
The poles of the solenoid can be determined using the right-hand grip rule
The curled fingers represent the direction of the current flow around the coil
The thumb points in the direction of the field inside the coil, towards the north pole
In a solenoid, the north pole forms at the end where the current flows anti-clockwise, and the south pole at the end where the current flows clockwise
Magnetic field around a flat circular coil
A flat circular coil is equivalent to one of the coils of a solenoid
The field lines emerge through one side of the circle (north pole) and enter through the other (south pole)
As with a solenoid, the direction of the magnetic field depends on the direction of the current
This can be determined using the right-hand grip rule
It is easier to find the direction of the magnetic field on the straight part of the circular coil to determine which direction the field lines are passing through
Magnetic field lines of many individual circular coils can be combined to make a solenoid
Worked Example
The current in a long, straight vertical wire is in the direction XY, as shown in the diagram.
Sketch the pattern of the magnetic flux in the horizontal plane ABCD due to the current-carrying wire. Draw at least four flux lines.
Answer:
Concentric circles
Increasing separation between each circle
Arrows drawn in an anticlockwise direction
Examiner Tips and Tricks
Remember to draw the arrows showing the direction of the field lines on every single field line you draw. Also, ensure that in a uniform magnetic field, the field lines are equally spaced.
Factors affecting magnetic field strength
The strength of the magnetic field of a solenoid can be increased by:
adding a core made from a ferrous (iron-rich) material e.g. an iron rod
adding more turns in the coil
When current flows through the solenoid with an iron core, it becomes magnetised, creating an even stronger field
The addition of an iron core can strengthen the magnetic field up to a several hundred times more
When more turns are added in the coil, this concentrates the magnetic field lines, causing the magnetic field strength to increase
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