Magnetic fields Flashcards
What is a magnetic field?
A region surrounding a magnet or current-carrying wire that will
exert a force on any other magnet or current-carrying wire placed within it.
What objects experience a force in a magnetic field? What is its direction relative too its velocity?
A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field
What direction is conventional current?
Towards the positive charge (opposite direction too the flow of e-)
What is magnetic flux?
Measure of the number of field lines passing through an area enclosed by a loop of conductor.
What unit is magnetic flux measure in?
Weber (Wb)
What equation links Magnetic flux, magnetic flux density and area?
Φ = B. A
What value of the magnetic flux do you take as the loop is rotated around an axis?
The component of the mag flux that is perpendicular too the field.
Φ = B. A. cos x
What is the magnetic Flux Density (B)?
The force per unit current per unit length on a current-carrying
wire placed at 90º to the field lines. Sometimes also referred to as the magnetic field strength.
What is the unit of measurement for magnetic flux density?
Tesla
What is the left hand rule?
FBI The direction of:
F(force), thumb
B(field), first finger
I(current), second finger
What equation links Force, Charge, Field strength and velocity? What is its use?
F=Bqv
Used too model the circular motion of a single particle in a magnetic field.
Why do single particle in a magnetic field experience circular motion?
The force experienced by a charged particle in a magnetic field is ALWAYS perpendicular too its velocity. Therefor, it is constantly accelerating (changing direction) towards the centre of its circular path.
What is a solenoid?
A long coil of wire
How do you find the direction of field/current in a loop of wire?
Reverse the right hand rule, thumb = field and fingers = current
How do you find the direction of the field induced by a current carrying wire?
Right hand rule, thumb = current and fingers = field
What is the equation for the radius of the path taken by a charged particle in a magnetic field? Why can this be derived?
r = mv / Bq
Let mv²/r = Bqv
By ignoring gravity, the resultant / only force acting on the particle is the magnetic force.
Using circular motion equations, derive a formula too show that T, time period, of the motion of a particle is independent from r.
T = 2πm / Bq
r = mv/ Bq
v = rBq / m
ω = v/r
2π / T = (rBq / m) / r
T = 2πm / Bq
What equation links the force experienced by a current carrying wire, magnetic field strength, Current and length of the wire?
F = BIL
What is the equation for the kinetic energy of a charge in a magnetic field, and its derivation?
rBq / 2m
EK = 1/2 mv²
v=rBq / m
v² = (rBq)² / m²
1/2 x m x (rBq)² / m² = rBq / 2m
What is one tesla ?
The magnetic flux density which produces 1N of force on a conductor of length 1m carrying 1A.
How do you model a pair of wires interacting with each other?
Each wire experiences a force exerted on it by the field of the other wire. Model the wires with two seperat4e drawings of the direction of the current and the field of the wire and therefore the direction of force it applies on the other.
How does a cyclotron work?
T is constant for a particle of a fixed charge in a constant magnetic field.
r=mv / Bq
T = 2πm / Bq
A charged particle is placed in the centre of a vacuum chamber with two electrodes ‘dees’ separated by a small gap.
The particle is accelerated across the gap by a change in potential difference (gain in kinetic energy) between the D’s.
Its velocity increases every time the particle crosses the gap between the two D’s and so its radius increases.
The polarity of the D’s alternates at every crossing as to ensure the particles only experience an increase in energy ( a positive potential difference).
Increases until a maximum kinetic energy/ radius is met and the particle leaves the chamber.
Name 3 uses of charged particles in magnetic fields
Cloud Chamber
Mass spectrometer
Cyclotron
What is the use of a Cloud chamber and how does it work?
Determining types of particles by observing their collisions within a field.
After a collision, the velocities of the particles involve decreases and so does the radius of their path. Images of these events can be analysed.