Physics 36 Electric Field (16 of 18) Finite Line Charge with Varying Linear Charge

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In this video I will find the electric field a distance “a” away from a finite varying line charge.
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dear professor here we should use sine trigonometric function in place of cosine according to dimension this problem is incorrect sir. please reply me must .

rahmatullahsangi
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"Why can't we take the integral from negative b to positive b?

BOUKATTeqwa
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I would like to be your student Sir. Thank you for your effort in youtube.

bullasaur
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Professor Michel, it is interesting when the b goes to infinity, then electeric field equals 2klambda, independent of the length of a !!

RiaziMohandesi
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Hello Professor,
i know that in this case we have symmetry along the line than we have only x-component becauser y-component had been canceled but instead of writing dq=λdx we should write dq=λdy because we're using y axe in the previous courses we wrote dx not dy but in this course you write dy what's the difference ??

woodruffshnibble
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What is the function with which the charge is varying?

srishtikdutta
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Thanks for this excellent explanation. This is very helpful.

valeriereid
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What will be the formula when the charge distribution is constant?

srishtikdutta
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the manner of integration here is the same as with uniform linear charge density but the only difference is that in here, the lambda in the equation pertains to the lambda not. So is it legal to substitute lambda not with lambda/y?

na-chan