1. MAGNETIC FIELDS
Presented by:
Ayesha Ejaz
Mohibullah
Syeda Abida Batool
Sidra Abbas
Presented to:
Dr Madah ul Mustafa
2. DEFINITION:
The space around a permanent magnet or a current carrying
conductor shows the magnetic force . Such area of space in which
magnetic force can be felt by another material is called magnetic
field . Thus, magnetic field is an example of field of force.
3. REPRESENTATION:
Magnetic field is represented by magnetic lines of force or
induction vector B .
Magnetic field lines are drawn from north pole to south pole .
It means;
Magnetic field lines originate from North pole.
Magnetic field lines terminate at South pole .
The magnetic field vector B at any point is tangent to the
magnetic field line.
B gives both magnitude and direction of the field.
The lines are drawn closer together where the magnitude B of
the magnetic field is greater.
4. PROPERTIES OF MAGNECTIC FIELD LINES:
The direction of the magnetic lines of force
is from north to south outside and inside
the magnet their direction is from south to
north .
The magnetic line of force always form a
closed loop.
They always follow the least reluctance
path.
The magnetic lines never intersect each
other.
The lines repel each other when they are
parallel and moves in the same direction.
5. FORCE ON A MOVING CHARGE IN A MAGNETIC FIELD
What is the mechanism by which one magnet exerts a force on another? The answer is related to
the fact that all magnetism is caused by current, the flow of charge.
Magnetic fields exert forces on moving charges, and so they exert forces on other magnets, all of
which have moving charges.
6. FORCE ON A MOVING CHARGE IN A MAGNETIC FIELD
The magnetic force on a moving charge is one of the most fundamental known.
Magnetic force is as important as the electrostatic or Coulomb force.
Yet the magnetic force is more complex, in both the number of factors that affect it and in its direction,
than the relatively simple Coulomb force.
The magnitude of the magnetic force F on a charge q moving at a speed v in a magnetic field of
strength B is given by
𝐹 = 𝑞𝑣𝐵 sin 𝜃
7. FORCE ON A MOVING CHARGE IN A MAGNETIC FIELD
Magnetic force can cause a charged particle to move in a circular or spiral path.
Cosmic rays are energetic charged particles in outer space, some of which approach the Earth. They
can be forced into spiral paths by the Earth’s magnetic field.
Protons in giant accelerators are kept in a circular path by magnetic force.
The curved paths of charged particles in magnetic fields are the basis of a number of phenomena and
can even be used analytically, such as in a mass spectrometer.
8. FORCE ON A MOVING CHARGE IN A MAGNETIC FIELD
So does the magnetic force cause circular motion?
Magnetic force is always perpendicular to velocity so that it does not work on the charged particle.
The particle’s kinetic energy and speed thus remain constant.
The direction of motion is affected, but not the speed.
This is typical of uniform circular motion.
The magnetic force supplies the centripetal force.
𝐹𝑐 =
𝑚𝑣2
𝑟
Note; If sin θ = 1 , we see that F = qvB
9. FORCE ON A MOVING CHARGE IN A MAGNETIC FIELD
A negatively charged particle moves in the plane of the
page in a region where the magnetic field is
perpendicular to the page.
The magnetic force is perpendicular to the velocity, and
so velocity changes in direction but not magnitude.
Uniform circular motion results.
10. FORCE ON A MOVING CHARGE IN A MAGNETIC FIELD
qvB =
𝑚𝑣2
𝑟
r =
𝑚𝑣2
𝑞𝐵
Here, r is the radius of curvature of the path of a charged particle with mass m and charge q, moving at a
speed v perpendicular to a magnetic field of strength B.
If the velocity is not perpendicular to the magnetic field, then v is the component of the velocity
perpendicular to the field.
The component of the velocity parallel to the field is unaffected since the magnetic force is zero for
motion parallel to the field.
This produces a spiral motion rather than a circular one.