AS594
IiTeachChem
•Created by Bhaumik_ on 4/17/2024 in #💭│doubts
Electrostatics Doubt (electric field)
From arbitrary point in space i meant an arbitrary point on the sphere (not (R,0)).
but no point of discussion "if you are absolutely correct" .
32 replies
IiTeachChem
•Created by Bhaumik_ on 4/17/2024 in #💭│doubts
Electrostatics Doubt (electric field)
It would have been better if you assumed an arbitrary point in space and for that area vector direction would be along r^ and field direction would also have been along r^ and then writing gauss law.
Basically you fixed the y coordinate as per your first line so idk, like if there is an integration involving two variable and you assumed y=0 and then integrating it ,i don't find it correct as while integrating you should chose an arbitrary point rather than some point (say R,0).
32 replies
IiTeachChem
•Created by Bhaumik_ on 4/17/2024 in #💭│doubts
Electrostatics Doubt (electric field)
You said that you assumed a charged particle placed at (0,0,0) and you equated the electric field due to that charged particle and the given electric field. From there you get the charge of the particle that you assumed to be placed at (0,0,0).Now as you are saying that the charge you calculated is equal to the charge of sphere basically you said that the charge placed at (0,0,0) is the charge that the sphere possess.So ultimately you are saying that the given electric field in question was of sphere and we need to calculate the charge possessed by it. And from there using shell theorem you assumed all charge at center and equated the electric field due to it and the given electric field .Now my question is, is it necessary that the given electric field is caused by the sphere only ? can't there be any external electric field existing in space in the given situation.
Like in my solution you can see i assumed the field produced due to infinite line charge kept along some axis (say z) and the portion of the line inside the sphere was the charge possessed.
32 replies
IiTeachChem
•Created by Bhaumik_ on 4/17/2024 in #💭│doubts
Electrostatics Doubt (electric field)
32 replies
IiTeachChem
•Created by Bhaumik_ on 4/17/2024 in #💭│doubts
Electrostatics Doubt (electric field)
you cannot consider the electric field due to a point charge as for that the field should be given by E= alpha (x i + y j) / (x^2+y^2)^3/2
because it reduces to alpha (x i + y j)/root(x^2+y^2) * (1/x^2+y^2)
that is alpha/r^2 (r^) similar to electric field due to point charge
32 replies
IiTeachChem
•Created by Bhaumik_ on 4/17/2024 in #💭│doubts
Electrostatics Doubt (electric field)
The motive behind this problem is to think about electric field due to infinite line charge.
Electric field can be written as alpha/r (r^) ( polar coordinate)
on comparing it with electric field due to infinite line charge you will get lambda=2(pi)(epsilon)(alpha)
Now consider an infinite line charge lying along z axis and it cuts the sphere than the length of that line inside sphere will be 2R so Q=lambda(2R) =4(pi)(epsilon)R(alpha)
32 replies