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Physics
Formulas
(The
Power input in a speaker is equal to the product
of both Voltage and Current)
P
= V * I
(The
force on the voice coil is equal to the cross of
Current(i) and the magnetic field(B)
where both i and B are vectors.
F
= i X B
The mechanical power
of the voice coil is equal to the velocity times
mass times acceleration.
P =
F * v
F = m a = m dv/dt
The Power out put is equal to
the velocity of the voice coil times area times
difference in Pressure
F = p A
P_{out} = v*A*p
Speakers
are extremely inefficient! Although speakers
do not typically include specifications
about their efficiency, they do however,
have information about their sensitivity.
For instance, if a speaker has a sensitivity
of 95 dB, it means at one meter away and
powered by one Watt, the microphone will
record 95 dB. Using the formula to the left
we can see that we can determine efficiency
using the sensitivity. What we take away
from this data is higher sensitivity means
more efficient, although a typical speaker
only has an efficiency of about 2%. 


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