Mission
home

D.3 Motion in Electromagnetic Fields

생성일
2024/07/05 08:44
태그

D.3.1  Magnetic fields

Magnetic and Electric Fields
Electric field
Magnetic field
Symbol
E
B
Caused by
Charges
Magnets (or electric currents)
Affects
Charges
Magnets (or electric currents)
Two types of
Charge: Positive and negative
Pole: North and South
Simple force rule
Like charges repel, unlike charges attract
Like poles repel, unlike poles attract
In order to visualize a magnetic field, we should once again use the concept of field lines
This time the field lines are lines of magnetic field- also called flux lines
If a test magnetic north pole is placed in a magnetic field, it will feel a force
The direction of the force is shown by the direction of the field lines
The strength of the force is shown by how close the lines are to one another
D.3.1-1 Magnetic Field around magnets
An electric current can also cause a magnetic field
D.3.1-2 Magnetic Field around right hand grip rule
The field lines are circular around the current
D.3.1-3 Magnetic Field around the circular magnet
The direction of the field lines can be remembered with the right-hand grip rule as shown in the figure above

D.3.2 Magnetic force on a current

Flemming’s Left Hand Rule
When a current carrying wire is placed in a magnetic field the magnetic interaction between the two results in a force
This is known as motor effect
The direction of this force is at right angles to the plane that contains the field and the current
D.3.2-1 Diagram of Magnetic field with FLH Rule effect
The direction of force, field and current could be determined by using Fleming’s left-hand rule
D.3.2-2 Diagram of FLH Rule
The experiments has show that the force is proportional to the :
The magnitude of the magnetic field B
The magnitude of the current I
The length of the current L that is in the magnetic field
The sine of the angle, theta, between the field and current
The magnetic field strength, B is defined as follows :
F=BILsinθF=BILsin \theta
Where the unit of B is the tesla
Wbm2Wbm^{-2}

D.3.3 Magnetic force on a moving charge

Charge and Magnetic Field
A single charge moving through a magnetic field also feels a force in exactly the same way that a current feels a force
In this case the force on a moving charge is proportional to :
The magnitude of the magnetic field, B
The magnitude of the charge, q
The velocity of the charge, v
The sine of the angle, theta, between the velocity of the charge and the field
Using these information and relationship, we can give an alternative definition of the magnetic field strength B
Which is mathematically :
F=qv×Bor F=qvBsinθF=qv\times B\,or\, F=qvBsin \theta