What is electromagnetic induction?
The process of generating an EMF (voltage) in a conductor when it experiences a changing magnetic flux.
must be** relative motion **between the conductor and magnetic field
State Faraday’s Law of Electromagnetic Induction.
The induced EMF in a coil is equal to the negative rate of change of magnetic flux:
** ε = -N dΦ/dt.**
the negative accounts for Lenz law (direction)
What does the negative sign in Faraday’s Law represent?
It shows that the induced EMF opposes the change in flux (Lenz’s Law).
State Lenz’s Law.
remember rule for picking direction of current for a solinoid, thumb points to north
The direction of induced current is such that it opposes the change in magnetic flux that produced it.
What is magnetic flux?
Φ = B·A·cosθ,
where
B = magnetic field (T),
A = area (m²),
θ = angle between field and normal to surface.
How can EMF be increased in induction?
Increase the number of turns, increase the strength of B, increase the area, or increase the rate of flux change.
What is a generator?
A device that **converts mechanical energy into electrical energy **using electromagnetic induction.
How does an AC generator work?
A coil rotates in a magnetic field, changing flux through the coil and inducing an alternating EMF.
What is the difference between AC and DC generators?
AC generators use slip rings to produce alternating voltage; DC generators use a **split-ring commutator **to produce a one-directional current.
What is a transformer?
A device that changes the voltage of an AC supply using electromagnetic induction between primary and secondary coils.
What is the transformer equation?
Vp/Vs = Np/Ns,
where
V = voltage
N = number of turns on each coil.
P- primary
S- secondary
Remember current is inversely proportional to voltage or Is/Ip
What is the power equation for an ideal transformer?
VpIp = VsIs
(input power = output power, ignoring losses).
Power= VI
What are sources of transformer energy loss?
Resistance in coils (heat), eddy currents in core, hysteresis in core, flux leakage.
How are transformer energy losses reduced?
Use thick copper wires (low resistance), laminated iron core (reduce eddy currents), soft iron core (reduce hysteresis), and tight coil windings (reduce flux leakage).
What is back EMF in motors and generators?
An induced EMF that opposes the applied voltage, reducing current as motor speed increases.
What law explains back EMF?
Lenz’s Law – the induced current always opposes the change causing it.
What is an eddy current?
Circulating currents induced in conductors by changing magnetic flux.
How are eddy currents used in practical applications?
Used in induction cooktops, electromagnetic braking, and metal detectors.