Question

A solid sphere of radius R has a volume charge density r = r₀r² (where r₀ is a constant and r is the distance from centre). At what distance x from its centre for x < R, the electric field is directly proportional to –

• A. $\frac{1}{x^{2}}$
• B. $\frac{1}{x}$
• C. x³
• D. x²

Answer 1

Answer: (C)

x³

Answer 2

E . 4pr² = Ž E =

q_in = =

\ E(r) = $\left( \frac { \rho _ { 0 } } { 5 \epsilon _ { 0 } } \right)$r³