Inductor | Why Current Lags behind Voltage by 90 degrees? (Mathematical Explanation)

Why Current Lags behind Voltage by 90 degrees in an Inductive Circuit?

Inductor in its most basic form is a coil of wire wounded around some core material. When current passes through this coil of wire, magnetic flux is generated, which opposes any change in the flow of current. If you compare this with a resistor, a resistance offers a potential drop across it which is directly proportional to the current. However, in a pure inductive circuit, the inductor induces an emf which is opposite to the voltage supply and is proportional to the rate of change of current. This leads to an interesting relationship between the current and voltage, as the phase of the current lags behind the voltage by 90 degrees.

“ Truth is the offspring of silence and unbroken meditation. ”
— Isaac Newton

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[IntegralMan]

You just earned a subscriber. This was the only video I could find that explained it in such an elegant way.

[edu]

Finally I found a good and simple explanation!! You saved me

[josepeixoto]

you said *...an inductor offers resistance to CHANGE in the flow of current...*
thanks, that helped me to better understand how inductors work

[rahulroy]

I searched whole youtube like crazy for a video which Satisfactorily explains, why actually currents lags in an inductor.. why does it behaves like that, but unfortunately no one could explain that satisfactorily, every one uses mathematical equations to deduce a result, i want a far more conceptual picture. I hope i find some content that satisfies my quest. Anyways nice try..keep the good work.

[davidj]

good channel! clear voice, easy to understand, planned out well, and has good equipment (mic and camera )

[LVigneshvarvicky]

Hello,

I'm okay with the mathematical explanation but practical explanation in connection with the definition is missing.

Thanks for uploading. Keep up the good work

[outstruck]

Why we take 90-theta in inductor and 90+theta in capacitor but sin is positive on both quadrant

[usr]

Great and simple explanation! Thank you!!!

[ebrahimaziz]

Sir super I really love your teaching style

[elilawrence]

Awesome! Quick proof with straightforward explanation!

[Googlename]

this is good. I am from Iraq I like your videos keep going bro

[vksharma]

But sir what is the meaning by nature of the inductor. You didn't talk about why current lag or lead in ac

[hassanomer]

Could you please explain to me why at 3:17 you did not consider initial condition constant of current on inductor

[avijitbarik]

Great explanation i have ever got
Thnk u very much sir z

[aryanbasu]

Sir, why is the integration constant equal to zero?

[dhruvanand]

We can also apply the Kirchoff Voltage Law in the loop, i.e. closed loop integral of E.dl=0 and end up with same equation. please correct me if I'm wrong & wish you a happy birthday Sir.

[cowboyengineer]

THANK YOU SO MUCH, SO BEAUTIFULLY EXPLAINED

[shubham]

Very nice Sir, I am impressed. How can we find instantaneous and average power across inductors?

[mrabbot-iit]

Why didn’t we put limits while integrating current’s expression?

[Falcon_Kashmir]

Does inductor act as short circuit when the voltage is applied??