Good evening Eshan sir... This is yester day solution sir. How sir electric field is independent r. Generally E = (1/4π€0) (Q/r^2). I did not understand explain sir.

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Eshan · Answer

Dear Raju,

It is not true that electric field always follows the relation $E=\dfrac{1}{4\pi\epsilon_0}\dfrac{Q}{r^2}$ . This is true only for electric field due to a point charge, or due to a uniformly charged solid sphere or spherical shell. In fact electric field due to an infinitely large charged conducting plate with charge per unit area $\sigma$ is $\dfrac{\sigma }{2\epsilon_0}$ which is also independent of $r$ . In case of infinitely large wire, it is $\dfrac{\lambda}{2\pi\epsilon_0 r}$ Hence it depends upon the distribution of charges in the given situation.

Here we are asked about the value of ‘A’ such that electric field is independent of $r$ . Using the Gauss law, we arrived at an expression of electric field in terms of $r$ . Now this has a constant term in addition to a term having dependence as $\dfrac{1}{r^2}$ . But it is given that field must be independent of $r$ . So if the coefficient of this $\dfrac{1}{r^2}$ term becomes zero, then the electric field would only have the magnitude $\dfrac{A}{2\epsilon_0}$ . Hence we have put it to zero to find the value of ‘A’.

Hope that helps.

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Good evening Eshan sir... This is yester day solution sir. How sir electric field is independent r. Generally E = (1/4π€0) (Q/r^2). I did not understand explain sir.

Good evening Eshan sir...
This is yester day solution sir.
How sir electric field is independent r.
Generally E = (1/4π€0) (Q/r^2).
I did not understand explain sir.

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Good evening Eshan sir... This is yester day solution sir. How sir electric field is independent r. Generally E = (1/4π€0) (Q/r^2). I did not understand explain sir.

Good evening Eshan sir...This is yester day solution sir.How sir electric field is independent r.Generally E = (1/4π€0) (Q/r^2).I did not understand explain sir.

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Good evening Eshan sir...
This is yester day solution sir.
How sir electric field is independent r.
Generally E = (1/4π€0) (Q/r^2).
I did not understand explain sir.