Application Of Calculus In Electrical Engineering

Application Of Calculus In Electrical Engineering

2. NOOR AHMED LANGOVE NOOR AHMED LANGOVE
Application Of Calculus In Application Of Calculus In
Electrical EngineeringElectrical Engineering

3. Application in
real
life

4. What is calculus?
Calculus originally meant “mathematics”.
Derived from the Latin “calx” (counter) –
ancient Babylonians would use pebbles to
represent units, tens, hundreds, etc, on a
primitive abacus.
Later, defined as measuring varying rates of
change.

5. Calculus is everywhere
The differentiation and integration of calculus have many
real-world applications from sports to engineering to
astronomy and space travel.

6. Calculus in the engineering field
Calculus initially developed for better navigation system.
Engineers use calculus for building skyscrapers , bridges.
In robotics calculus is used how robotic parts will work
on given command.
Electrical and Computer engineers use calculus for
system design.
Calculus is used to improve safety of vehicles.

7. Use in ohm’s law
According to the “Ohm’s Law” formula for a capacitor,
capacitor current is proportional to the time-
derivative of capacitor voltage:
i = C
dv
dt
Another way of saying this is to state that the
capacitors differentiate voltage with respect to time, and express
this time-derivative of voltage as a current
Suppose we had an oscilloscope capable of directly measuring
current, or at least a current-to-voltage converter that we could attach
to one of the probe inputs to allow direct measurement of current on
one channel.

8. Another way of saying this is to state that the
apacitors differentiate voltage with respect to time, and express
this time-derivative of voltage as a current

9. For each of the following voltage waveforms (channel B), plot
the corresponding capacitor current waveform (channel A) as it
would appear on the oscilloscope screen:

10. The integrated circuit is nothing more than a very
advanced electric circuit. An electric circuit is made
from different electrical components such as
transistors, resistors, capacitors and diodes, that
are connected to each other in different ways.
These components have different behaviors.