Capacitor and inductor working principle

Question

I want to know that there is opposition mechanism of current in inductor say back emf than what is opposition mechanism of voltage in capacitor ??? And also want to know that when inductor suddenly open it generates very huge voltage to keep current constant does it violate conservation of energy ???

Answer 1

It's very fruitful to compare inductors and capacitors. They are dual components. They both store energy. However, you have to remember to swap current and voltage, short circuit and open circuit, series and parallel.

A capacitor 'tries to' keep its terminal voltage constant. If you try to change the voltage suddenly, it will demand a large current. 'Nothing' happens when the capacitor is open circuit, it just stays at the same voltage. You can ramp the charge stored in it by supplying a current.

An inductor 'tries to' keep its current constant. If you try to change the current suddenly, it will generate a large voltage. 'Nothing' happens when the inductor is short-circuited, it just stays at the same current. You can ramp the current through it by supplying a voltage.

The main differences are that people tend to have a better feel for capacitors, voltage sources feel more natural than current sources.

Capacitors also tend to be more ideal, typical capacitors have losses that are far smaller than those of typical inductors. An open circuit capacitor can store charge for seconds or minutes, there's time to measure the voltage with a DMM. A typical inductor shorted through a current meter will drop the current to zero too fast to be seen with teh naked eye. This difference is not fundamental to inductors and capacitors, but is just the way the properties of copper and plastic happen to turn out. If we had room temperature superconductors, and only damp cardboard to insulate capacitors, then inductors would be the ideal components.

Answer 2

For an inductor: -

$$V = L\dfrac{di}{dt}$$

This means a back emf voltage is produced when the current tries to change - that back emf tries to oppose the change in current.

For a capacitor: -

$$I = C\dfrac{dv}{dt}$$

This means that a current is produced when the voltage tries to change and that current tries to oppose the change in voltage.

And also want to know that when inductor suddenly open it generates very huge voltage to keep current constant does it violate conservation of energy ?

No, there is no violation of energy conservation. The amount of energy an inductor can use to produce a high back emf is limited by the current passing through the inductor when the terminals were open circuited. That energy is: -

$$W = \dfrac{1}{2}\cdot LI^2$$

So, if the current was 10 amps when a 100 uH inductor open-circuited, the energy of the spark can be no more than 5 milli joules.