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Magnetism. I. Current inwards. Current outwards. Lines of force. Right Hand Grip Rule. Not a Radial Field. Magnetism. Motion. Current. Field. Fleming’s Left Hand Rule. Left-for-Lift. Magnetism. Generalisation of the effect on any given current carrying wire
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Magnetism I Current inwards Current outwards Lines of force Right Hand Grip Rule Not a Radial Field
Magnetism Motion Current Field Fleming’s Left Hand Rule Left-for-Lift
Magnetism Generalisation of the effect on any given current carrying wire near a magnet is given by: Magnetic Field Strength (B) B = F / IL Where B, I and F are all mutually perpendicular. Unit of B = Tesla [T] 1 T = 1 N/Am
Magnetism F = BILSin
Magnetism F = Min F = 0 F = Max F = BIL
B C A D
A duck flying due North at 15 m/s passes over Atlanta, where the Earth’s magnetic field is 5 x 10-5 T in a direction 60 º below the horizontal line running north and south. If the duck has a net positive charge of 0.04 C,what is the direction and magnitude of the magnetic force upon it?
v North q 60º 30º F = Bqv = 26 pN B 5 x 10-5 T West
Magnetism r Near a long straight current carrying wire. B = 0 I / 2r 0 = permeability of free space = 4 x 10-7 NA-2
What is the magnetic field strength and direction exactly half-way between the two wires? 10A 5A 10-5 T Into the board. 0.2 m
Magnetism The Solenoid
Magnetism South North The Right Hand Grip Rule The Solenoid
Magnetism On the axis near the centre of the solenoid: B = 0nI n = Number of turns / length of solenoid
B = 4.24 mT South You are looking through a solenoid that is 80 cm long with 900 turns and a radius of 2.5 cm. If it carries a current of 3 A calculate the magnetic field along the axis inside the solenoid. Which pole is the closest to you?
Magnetism Motion Current Field Right Hand Grip Rule Left-for-Lift Fleming’s Left Hand Rule Summary of magnetism’s equations and rules: B = F / IL Near a long straight current carrying wire. B = 0 I / 2r On the axis near the centre of the solenoid: B = 0nI
Electromagnetism Flux = BA Unit = The Weber [Wb] Lines of flux
Magnetism V V Faraday’s Law An EMF is induced in a conductor if there is any change in the flux. Flux linkage can change: or Flux cutting can occur:
Magnetism Faraday’s Law continued... The magnitude of the induced EMF is proportional to the rate of change of flux linkage or rate of flux cutting. EMF = N / t And is always established so as to oppose its creation. (Lenz’s Law)
Magnetism Motion Current Field Fleming’s Right Hand Rule
Rectangular Solenoid B = 0.5 T t = 0.8 s 18 cm A 18 cm Number of turns = 200 R = 2 B = 0 T t = 0 s How much current flows while the field is changing? 2 A
I a) What is the direction of the induced current through R?
b a b) What is the direction of the current induced in R when S is closed: a b, or b a?
c) What is the direction of the induced current in R when the current decreases rapidly to zero?
v d) What is the direction of the magnetic field, that this copper rod is moving through? + _
V Back EMF () Motor effect inhibited by induction effects. North South
The Transformer Vp / Vs = Np / Ns