ELECTROMAGNETIC INDUCTION
YES!We need:
Loop (complete circuit) Magnetic Field
I can cause B
Can B cause I?
I can cause B B can cause I
There are 3 ways to induce I: 1) Change B
2) Change the area of the 3) Change the orientation of the loop
All these changes cause ΔΦ
ΔΦ – magnetic flux
cosBA
• Wire is 16cm long• B1 = 4.0mT
• Find magnetic flux if:• A) it’s a square• B)it’s a rectangle with one
side = 2.0m•
EXAMPLE 1
EXAMPLE 1
• Wire is 16cm long• B1 = 4.0mT
• Find magnetic flux if:• A) the square is
perpendicular to the field• B)the square makes a 60o
angle with the field•
cosBA
LENZ’S LAW
The induced emf resulting from a changing magnetic flux has a polarity that leads to an induced current whose direction is such that the induced magnetic field opposes the original flux change.
BLAH – BLAH – BLAH …
Change of B creates current Current will have its own B around it
INDUCED B always FIGHTS THE CHANGE:
• If the flux is growing, it will fight it ( )
• If the flux is dying, it will help it ( )
There is a constant magnetic field directed into the page in the shaded region. The fieldis zero outside the shaded region. A copperring slides through the region.
For each of the five positions, determine whetheran induced current exists and, if so, find itsdirection.
HOW STRONG IS I INDUCED?
What does current depend on? (Remember this guy
Where would V come from if there is no battery? Just the wire….
No battery = no ‘terminal voltage’ – only emf
FARADAY’S LAW OF ELECTROMAGNETIC INDUCTION
The average emf induced in a single coil is
The Emf Induced by a Changing Magnetic Field
A coil of wire has an area of 0.0015 m2. A magnetic field is perpendicular to the surface. Initially, the magnitude of the magnetic field is 0.050 T and 0.10s later, it has increased to 0.060 T.Find the average emf induced in the coil during this time.
What would be the total emf if we had 20 coils?
FARADAY’S LAW OF ELECTROMAGNETIC INDUCTION
The average emf induced in coil with N loops is
MOTORS, GENERATORS, TRANSFORMERS
ME - EPE
• In a generator (AC or DC) a loop of wire is rotated in a constant magnetic field (Mechanical energy delivered by a person / falling water, etc.)
• Rotation of the loop causes ΔΦ (change of magnetic flux)
• ΔΦcauses emf (with changing polarity in AC-generator and constant polarity in DC generator
or x ?
or ?
direction of I?
EPE - ME
• In a motor, wires with current in a constant magnetic field are moved by magnetic forces.
or x ?
direction of I?
direction of Fm ?
TRANSFORMERS
• Two coils (uh-huh!): a primary and a secondary coil.
• Emf on the primary coil induces emf on the secondary coil.
EXAMPLE 1
A step-down transformer providing electricity for a residential
neighborhood has exactly 2680 turns in its primary. When the
potential difference across the primary is 5850 V, the potential
difference at the secondary is 120 V. How many turns are in the
secondary?
EXAMPLE 2
A step-down transformer has 525 turns in its secondary and 12 500
turns in its primary. If the potential difference across the primary is
3510 V, what is the potential difference across the secondary?
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