Em waves

[stoic lake]

No idea.

[stable garden]

<@&1227987967939838003>

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[devout dome]

haa to

1/2 epsilon0 E^2 hota tha jaha tak mujhe yaad aara

AC bahot achcha to nahi hai but kya ye idhar ni lagra??

[stoic lake]

AC ka toh ques hi nahi hai

[stoic lake]

thats energy density

[devout dome]

oh ha 💀

ma apna clown behaviour kahi aur le jaata hu

[fallen nimbus]

Ig yea isme energy density nikal lo which is 1/2eipsilon E^2 + 1/2 B^2/u then multipy this by voume which is area * lenght where lenght is speed of wave * time

[trim palm]

Speed of wave to nikal hi jayegi

[stoic lake]

oh shit length aise bhi toh likh sakte

damn

[fallen nimbus]

Yes

[stoic lake]

ismein E^2 likhte hue pura function likhna hai ??

Aage kya karu

I converted magnetic field energy density in terms of E using E=vB

[fallen nimbus]

That formula i wrote above after simplification reduces to epsilon * E^2 in this u put thr whole expression for E and take average butbsince average of sin^2 func os just 1/2 u can acc write ur formula to just be 1/2 * epsilon * E0^2 where E0^2 is ur amplitude

[stoic lake]

can u share it in written

[fallen nimbus]

Ac me pada hoga average of trig functions

But im not to sure abt this one too is it right?

[stoic lake]

ans is yes

isnt E=vB

here tho v=c

[fallen nimbus]

Yes

[fallen nimbus]

Yea

[stoic lake]

why did we take avg

[fallen nimbus]

Ig because if u look at it otherwise energy will be a fun of cos^2 so it will osciallte in time, but que asks us for a certain interval so we take average

Since que clearly wants some constant and not a cos^2 function as our ans

[stoic lake]

so we are supposed to take avg over x=0 to x=vt

??

[fallen nimbus]

No wait let me try integrating and finding out the avg

[fallen nimbus]

Nvm it acc uses double integral since we have space and time both, but here u see firstly u find the average energy density by taking average of cos^2 func over 1 full wavelenght and 1 full time period then u multiply it by volume to get average energy transferred in tht volume, u get me?

[stoic lake]

guess ill come back to this after practicing more em waves

[stoic lake]

+solved @stone saffron