Magnetic Fields Flashcards
What is a magnetic field
A region in which magnetic forces act
What can a magnetic field act on
Conductor carrying an electric current
A moving charged particle
A permenant magnet
A piece of magnetic material
Two things a magnetic field and electric field affect
A conductor carrying an electric current
A moving charged particle
What 2 things can magnetic fields be
Attractive
Repulsive
Direction of field lines
North to South
The direction of the force on a North pole
Compass
Always points along field lines
Can you have a single monopole
No
Always NS or SN
Where is the magnetic field strongest
Where field lines are closest together
At the poles for a bar magnet
Full name for a magnetic North pole and why
North seeking
Because if it was free to move in Earth’s magnetic field the force on it would move North
So if it is being attracted to what we call north there must be a south there
Arctic
Location:
Pole:
Real pole:
Antarctic
Location:
Pole:
Real Pole:
Circle with a cross
Field entering the page
Circle with a dot
Field coming out of the page
Technical names for magnetic field lines
Lines of magnetic flux
Magnetic flux density
Strength of the magnetic field
B
SI unit for strength of a magnetic field
Magnetic flux density
T (Tesla)
Expected values for tesla/magnetic field strength
Micro or milli
Define the tesla
The magnetic flux density that produces a force of one Newton per metre on a current of one ampere flowing in a direction perpendicular to the magnetic field
How many tesla to lift a frog
10T
Equation for field strength force and current
F=BIL
Force (N)
Magnetic flux density (T)
Current (A)
Length of current carrying wire inside magnetic field (m)
So B=F/IL [Nm-¹A-¹] is equivalent to T
Magnetic flux density definition
The magnetic flux density at a point is equal to the force per unit length on a conductor carrying a unit current in a direction perpendicular to the field
Force when the field is parallel to the current
0
Maximum force in terms of F=BIL
When perpendicular
How can you find the direction of a force on a current carrying wire
Fleming left hand rule
Where current is conventional (+ to -)
Explain Flemings left hand rule
Like a gun = FBI
F=Force=Thumb
B=Magnetic field strength=First finger
I=Current=Middle finger
What do you do when the force on a current carrying wire isn’t perpendicular to the field
Only interested in the component that is perpendicular so must use trig
F=BILsinθ
Where θ is the angle between the current direction and the magnetic field
In degrees
How would you draw the graph of force on a wire against the angle between the current and field in degrees
Sine graph
F∝sinθ
Passes through zero since force 0 when field parallel to the current
Max at 90 when perpendicular
Explain the set up for measuring the magnetic force on a current carrying conductor
Top pan balance measuring in newtons or massx9.81
Horse shoe magnet
Current carrying wire passing through the magnet
Attached to a circuit in series with a power source and a variable resistor and ammeter
Method for measuring the magnetic force on a current carrying wire
Set balance to zero
Measure the length of wire using vernier calipers
Vary the current by varying the resistance of the surface
Take current force readings each time resistance is changed
Repeat
Average
Plot a graph of force against current using means
Expect a straight line passing through the origin
With a gradient equal to Bl
Can find the magnetic fields strength using this and the length
Give an application of the left hand rule
electric motor (DC)
Why add more loops in a DC motor
Makes rotation smoother
Purpose of commutator in a DC motor
Prevents wires tangling together
Works with carbon brushes to switch polarity of coil
What would happen if there were no commutators
Wires would twist and tangle
Polarity of coil would be constant so would not complete full rotations
Purpose of the brushes in a DC motor
Provide a connection between battery and commutators and allow polarity of the coil to switch so it can continue rotating
Explain the changes in energy in a DC motor
Electrical energy
to
Mechanical energy
Torque
The turning moment/resultant moment of a couple
Of a motor
Since T=Fd, and F=BIL, T=BILN
How do you make a motor have an increased torque
T=NBIL
Increase the number of turns in the coil
Increase the magnetic field strength/magnetic flux density of the wire
Increase the current flowing through the wire by using a bigger power source
Increase the length of wire in the magnetic field
Equation for force on a moving charge
F=BQv
F=Force
B=Flux density
Q=Charge in coulombs
v=Velocity
How is F=BQv obtained
F=BIL
I=Q/t
F=BQL/t
l/t=v (distance by time)
F=BQv
Lorentz equation
F=BQv
Condition for lorentz equation
Force perpendicular to the velocity
Aka circular motion
Velocity tangent to particle
In Fleming left hand rule, the 3rd finger acts opposite to
The way electrons move
Since it is conventional it shows
Positive charge…
Negative charge…
Current aligns with velocity
Current opposes velocity
Why is the work done in moving a charge in a magnetic field zero
W=FS
Where F and S are parallel
But here they are perpendicular
No displacement in a circle
Why can’t the magnetic force be used to speed up or slow down a moving charged particle
No magnetic force on the direction of the particle motion
Does no work on a charged particle
How do you derive the expression for the radius of a charged moving particle
Fcentri=Fmagnetic
mv²/r=BQv
mv/r=BQ
So r=mv/BQ
Radius of orbit of a charged particle in a magnetic field
r=mv/BQ
R=v/BC (specific charge)
Mass spectrometers
Use magnetic and electric fields
To measure the masses of atoms
Determine their relative abundance in a chemical sample
By separating based off specific charge
4 stages of mass spectrometer
Ionisation
Acceleration
Velocity selection
Mass separation
Explain the first stage of mass spectrometry
Ionisation
Gives atoms or molecules a charge
Explain step 2 of mass spectrometry
Acceleration
Particles accelerated through a high potential difference (W=QV)
Explain step 3 of mass spectrometry
Velocity selection
Particles pass through a space where electric and magnetic fields act on particles to filter out all velocities but one
Fmagnetic=Felectric
EQ=BQv
v=E/B
Explain step 4 of mass spectrometry
Particles with the same charge but different masses are separated by curving in a magnetic field through circular arms different radii
r=mv/BQ
Explain the process of mass spectrometry
Electron gun fires electrons at a sample
Making ions charged (positive)
Negatively charged plates accelerate them with a high voltage
Ions run through an electric field at 90° to the magnetic field
Velocity selector ensures they all have the same velocity by filtering all others out
So they have the same velocity but different specific charges
Separated by specific charge in another magnetic field
Register radius of the path with a detector
Data recorded graphically
In a particle accelerator
Electric fields….
Magnetic fields
Accelerate the particles, electric force in the direction of travel (F=EQ)
Change the direction of the particle, magnetic force is perpendicular to travel (F=BQv)
Example of a particle accelerator
Large hadron collider
Cyclotron
Circumference of LHC
27km
Explain how a particle accelerator works
Accelerates charged particles to speeds close to light speed
Using electric fields
Strong magnetic fields provided by superconducting electromagnets are used to direct particles around the circular path they follow whilst being accelerated
Explain how the cyclotron works
Strong magnetic fields curve the path of charged particles
Whilst being accelerated by electric fields
Start on the centre and gradually spiral outwards until reaching desired speed
Then fired towards a target
Magnetic field directed vertically through the accelerator
Particles accelerated each time they cross the small gap between the Dees where there is a potential difference
Since they increase their velocity their radius increases