Let there be a spherically symmetric charge distribution with charge density varying as (r)= _ a ( 5 4 - r R ) up to r = R, and ρ(r) = 0 for r > R, where r is the distance from the origin. The electric field at a distance r (r < R) from the origin is given by

Let there be a spherically symmetric charge distribution with charge density varying as…

Physics · JEE Main · NTA Exams — Electrostatics

Let there be a spherically symmetric charge distribution with charge density varying as \(\rho(r)=\rho_{a}\left(\frac{5}{4}-\frac{r}{R}\right)\) up to r = R, and ρ(r) = 0 for r > R, where r is the distance from the origin. The electric field at a distance r (r < R) from the origin is given by

\(\frac{4 \pi \rho_{n}{ }^{\prime}}{3 \epsilon_{g}}\left(\frac{5}{3}-\frac{r}{R}\right)\)
\(\frac{P_{n}{ }^{\prime}}{4 E_{n}}\left(\frac{5}{3}-\frac{r}{R}\right)\)
\(\frac{4 \rho_{\square} r}{3 \epsilon_{n}}\left(\frac{5}{4}-\frac{r}{R}\right)\)
\(\frac{P_{n}{ }^{\prime}}{3 \epsilon_{n}}\left(\frac{5}{4}-\frac{r}{R}\right)\)

Answer

(A) 4 _ n ^ 3 _ g ( 5 3 - r R )

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Let there be a spherically symmetric charge distribution with charge density varying as…

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