Diffentiation and integration in electronic circuit

In summary, an inductor and capacitor can perform differentiation and integration, respectively. An inductor has an induced voltage that is proportional to the rate of change of current, while a capacitor's charge is proportional to the area under a graph of current against time. This is the basis for differentiation and integration, respectively. The voltage across a capacitor is also proportional to the charge, which is usually written as V = Q/C or V = 1/C ∫i.dt.
  • #1
amaresh92
163
0
greetings,

how a inductor and capacitor can perform differentiation and integration respectively?
any help would be appreciated .
 
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  • #2
Do you know that for an inductor the induced voltage is proportional to the rate of change of current?
Usually written as E = L.di/dt. This means that E is proportional to the gradient of an i against t graph. This is a basic picture of differentiation.
For a capacitor the charge on a capacitor is the product of current x time. This means that charge is proportional to the area under a graph of i against t. This is the basis of integration.
The voltage across a capacitor is proportional to the charge (V = Q/C) and this is usually written as V =1/C ∫i.dt
 

Related to Diffentiation and integration in electronic circuit

1. What is differentiation in electronic circuits?

Differentiation in electronic circuits refers to the process of finding the rate of change of a signal with respect to time. This is typically done using a capacitor, which allows for the output voltage to change faster than the input voltage.

2. How is differentiation used in electronic circuits?

Differentiation is commonly used in electronic circuits for filtering, amplification, and waveform shaping. It can also be used for detecting changes in voltage or current over time, such as in motion sensors.

3. What is integration in electronic circuits?

Integration in electronic circuits refers to the process of finding the total accumulated value of a signal over time. This is typically done using an inductor, which allows for the output voltage to change slower than the input voltage.

4. How is integration used in electronic circuits?

Integration is commonly used in electronic circuits for smoothing, storing energy, and producing a constant output voltage. It can also be used for detecting changes in voltage or current over time, such as in battery charging circuits.

5. What are some common applications of differentiation and integration in electronic circuits?

Differentiation and integration have a wide range of applications in electronic circuits, including but not limited to: audio and video processing, signal filtering, motor control, sensor data processing, and power conversion. They are essential tools for manipulating and analyzing signals in various electronic devices and systems.

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