An insulated solid sphere has a volume charge density ρ. ‘r’ is the distance of a point P from the Centre. Which graph represents the correct variation of electric field with respect to r?

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Solution

The correct option is B

The electric field due to a spherical distribution of charge increases linearly with distance till it’s surface and then it decreases as inverse square (like for a point charge)

$| \to E | = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{ρ r}{3 ϵ_{0}} & f o r r \leq R (R b e i n g t h e r a d i u s) \frac{ρ R^{3}}{3 ϵ_{0} r^{2}} & f o r r > R \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭$

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An insulated solid sphere has a volume charge density ρ. ‘r’ is the distance of a point P from the Centre. Which graph represents the correct variation of electric field with respect to r?

The correct option is B The electric field due to a spherical distribution of charge increases linearly with distance till it’s surface and then it decreases as inverse square (like for a point charge) |→E|=⎧⎪⎨⎪⎩ρr3ϵ0for r≤R(R being the radius)ρR33ϵ0r2for r>R⎫⎪⎬⎪⎭