Magnetic Fields Flashcards
How is a magnetic field similar to electric and gravitational fields?
It’s a region in which a force acts
What is a magnetic field?
A region in which a force acts on magnetic materials or magnetically susceptible materials
How do you represent magnetic fields?
Field lines (also called flux lines)
What is the direction of field lines for a magnetic field?
From the north to the south pole of a magnetic
The closer field lines are together, the…?
Stronger the field is
How is a magnetic field induced around a wire?
When current flows in a wire, it induces a magnetic field
Describe the field lines for a magnetic field induced around a wire?
They are concentric circles centred around the wire
What rule do you use to work out direction of magnetic field in a current-carrying wire?
Right-hand rule (by wrapping hand around with thumb pointing in direction of current, direction of curled fingers shows direction of magnetic field?)
What is the magnetic field of a solenoid similar to?
Magnetic field of a bar magnet
Describe the magnetic field formed when you place a wire between 2 external magnetic fields (e.g. 2 magnets)?
The field around the wire and the fields from the magnets are added together, resulting in a resultant field
For the magnetic field around a current-carrying wire, what does a solid dot show?
• = current flowing out of the page, towards the reader
For the magnetic field around a current-carrying wire, what does a solid dot show?
⊗ = current going into the page, away from the reader
For the magnetic field of a current-carrying wire between 2 magnets, which direction is the resultant force of the field?
Perpendicular to both current direction and magnetic field
What is the resultant force of magnetic field of a current-carrying wire between 2 magnets equal to if the current is parallel to the field lines?
Resultant force = 0N
For Fleming’s left-hand rule, what does the first finger denote?
First finger = direction of uniform magnetic Field
For Fleming’s left-hand rule, what does the second finger denote?
SeCond finger = direction of conventional Current
For Fleming’s left-hand rule, what does the thumb denote?
ThuMb = direction of force (so direction of Motion)
What happens to a wire when you pass an alternating current through a wire in a magnetic field?
The wire vibrates
Why does a wire vibrate if you pass an alternating current through it in a magnetic field?
Because force is perpendicular to direction of current, so if current is reversed, direction of force is also reversed. Constant reversal of force means that the force is constantly alternating too, so up and down motion of wire
What is the magnetic flux density defined as?
The force on 1 metre of wire carrying a current of 1A at right angles to the magnetic field
What is magnetic flux density proportional to?
The force on a current-carrying wire at right angle to a magnetic field
What are the units of magnetic flux density?
Tesla (T)
Is magnetic flux density a scalar or vector quantity?
Vector, because it has both direction and magnitude
What is 1 tesla equal to?
1 tesla = 1 newton per amp per metre
What is the equation for the force on a current-carrying wire in a field?
F = BIL
F: Force on current-carrying wire
B: Magnetic flux density
I: Current through wire
L: Length of wire
For the equation F = BIL, what is the force?
The maximum force possible (when the wire is at 90° to the magnetic field)
When a current-carrying wire is at 90° to a magnetic field, what is the size of the force on the wire proportional to?
Size of the force on the wire proportional to length of wire and also magnetic flux density
What is the equation for the force acting on a single particle in a magnetic field?
F = BQv
F: Force
B: Magnetic flux density
Q: Charge on particle
v: Velocity of particle
How do you derive the equation for the force acting on a single particle in a magnetic field?
Use the equation the force on a current-carrying wire in a field, F=BIL. Substitute I = Q/t to get F=B(Q/t)vt then cancel the t to get F = BQv
To use Fleming’s left-hand rule for the a charged particle, what do you use the second finger to show?
Second finger = direction of motion for a positive charge
If the particle is negative, point your second finger in the opposite direction to its motion
What is the equation for the acceleration of a particle travelling through a magnetic field?
A = v^2/r
What is the equation for the force on a particle in a circular path in a magnetic field?
F = mv^2 / r
What is the equation to find the radius of the circular path of a charged particle in a magnetic field?
r = mv / BQ
If the mass or velocity of a particle in a field increases, what affect does this have on the radius of curvature of the particle?
The radius of curvature increases
If the magnetic field strength or charge on a particle in a field increases, what affect does this have on the radius of curvature of the particle?
The radius of curvature decreases
What is the relationship between the radius of curvature of a charged particle in a magnetic field and its mass?
Directly proportional
What is the equation for the frequency of rotation for an object in circular motion?
f = v / 2πr
f: frequency of rotation
v: velocity
2π: distance travelled in each rotation
What does the time it takes for a particle to complete a full circle depend on?
Magnetic flux density
Mass
Charge
What will increasing a particles velocity have an affect on?
Will make it follow a circular path with larger radius, but will take the same amount of time to complete it
What are cyclotrons?
A type of particle accelerator
Give an example of one of the uses of a cyclotron
Medicines (more specifically diagnosis and therapy)
How is a cyclotron used in radiotherapy?
Used to produce radioactive tracers or high-energy beams of radiations for use in radiotherapy
What is radiotherapy?
A cancer treatment that uses high doses of radiation to kill cancer cells and shrink tumors
What is a cyclotron made up of?
2 hollow semicircular electrodes with a uniform magnetic field applied perpendicular to the plane of the electrodes, and an alternating potential difference applied between the electrodes
How does a cyclotron work?
Charged particles are produced and fired into one of the electrodes, where the magnetic field makes them follow a circular path and then leave the electrode (at a faster speed)
What does the applied potential difference between the electrodes in a cyclotron cause?
It accelerates the particle across the gap between the electrodes
What causes the particle in a cyclotron to reach the exit of the cyclotron?
Each time the P.D. accelerates the particle across the gap between the electrodes, the particles speed gets slightly bigger. This causes the radius of the circular path to get bigger until it reaches the exit point
Why is an alternating potential difference used in a cyclotron?
Because if it had a direct potential difference, the particle would only accelerate in one direction across the gap between the electrodes
Why will the particle always spend the same amount of time in each electrode of a cyclotron?
Because the frequency of the circular motion is independent of the radius (meaning the alternate potential difference has the same frequency)
What is magnetic flux density, B?
A measure of the strength of a magnetic field (think of as number of field lines per unit area)
What is the equation for the total amount of magnetic flux passing through an area perpendicular to a magnetic field?
Φ = BA
Φ: Magnetic flux
B: Magnetic flux density
A: Area
What is magnetic flux measured in?
Wb (Webers)
What can magnetic flux be defined as in terms of field lines?
The total number of field lines
What is the difference between magnetic flux density and magnetic flux?
Magnetic flux density is the number of field lines per unit area whereas magnetic flux is the total number of field lines
What is electromagnetic induction?
The process of inducing an e.m.f. in a conductor with relative motion to a magnetic field
When is an e.m.f. induced by a conductor and a magnet?
When the conductor cuts the magnetic flux (perpendicular to magnetic field lines)
What happens to the electrons in a rod if there is relative motion between a conducting rod and a magnetic field?
The electrons will feel a force, which causes them to accumulate at one end of the rod
How can you induce an e.m.f. with a conductor and a magnet, solenoid or flat coil?
Move the conductor inside a stationary magnetic field or vice versa
What causes the e.m.f. to be positive or negative in electromagnetic induction?
It depends on the direction of movement and the way you connect the wires
When a wire coil is moved in a magnetic field, what does the size of the e.m.f. depend on?
The magnetic flux passing through the coil and the number of turns on the coil cutting the flux
What is flux in physics?
The presence of a force field in a specified physical medium
What is flux linkage, NΦ?
The magnetic flux in a coil multiplied by the number of turns on the coil
For a coil of N turns normal (perpendicular) to B, what is the equation for the flux linkage?
Flux linkage = [NΦ] = BAN
Φ: Magnetic flux
B: Magnetic flux density
A: Area of the coil
N: Number of turns on the coil cutting the flux
What is the SI unit of flux linkage?
Wb (Webers)
What does the rate of change of flux linkage tell you?
How strong the e.m.f. will be
What is a change of flux linkage of 1Wb per second equal to?
An e.m.f. of 1 volt in a loop of wire
How do you find the flux linkage at an angle?
You need to resolve the magnetic field vector into components that are parallel and perpendicular to the area using trig
For a single loop of wire when B is not perpendicular to the area, what is the equation for the magnetic flux?
Φ = BA cosθ
Φ: Magnetic flux
B: Magnetic flux density
A: Area of the coil
θ: Angle between the normal to the plane of the coil and the magnetic field