What is differention?What is its significance in electronics?

What is different ion? What is its significance in electronics?

If you understand, you will find differentiation is how much useful in engineering.

Just assume a graph, Differentiation is a rate of change of Y axis quantity, in each point x axis quantity.



Here the blue one is sine, the input wave form

When we do differentiation we are getting red wave, lets see how it is possible

1, in 0 degree the value of blue increases very fast, that yields some value in output wave.

2, in 90 degree the value of blue is no more incrementing or decrementing(no change) so the output is zero.

3, in 180 degree point the value of blue is decreasing very fast, that yields negative value for output.

4, that is how we are getting cos wave form from sine when we do differentiate.

Applications:

simple applications of differentiation is velocity.

The rate of change of distance of a object with respect to time is velocity.

The rate of change of velocity over time is called acceleration.

In electronics,

The current flowing through a capacitor is proportional to the rate of change of voltage on its terminals.

In inductor the induced voltage is proportional to the rate of change of current.

To say actually the applications are countless.

narayani said:

What is different ion? What is its significance in electronics?

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Hi,

Differentiation & Integration are the base of any electronic component. Consider RLC,

R has linear relationship of V= IR
L has a relationship of V = L(di/dt)
C has a relationship of I = C(dv/dt)

As you can see the di/dt & dv/dt in L & C respectively are the delta function. It defines the rate of change of a parameter with respect to time.

You can visualize, as the di/dt is large, the voltage developed across the L is large. For this, the I curve has to be steep. Same approach for C. The same theory of L & C is used in opamp to function it as a differentiator & integrator.


This is just an example, but the significance of the differentiation is inevitable. You can develop your differentiation skills using Microsoft XL to feel it. Try drawing the waveforms for different values on the RLC - VI relationships.

Regards
Arun

narayani said:

What is different ion? What is its significance in electronics?

Click to expand...

Similar to a 1st-order lowpass which is nothing else than a damped integration process - a 1st-order highpass realizes a damped differentiation in the time domain.
As another important application, many phase-enhancing compensators in control systems contain differentiating circuitry (PD and PID controllers).