Answer :
Answer:
The charge inside the small sphere is [tex]q=\dfrac{Q\times r^3}{R^3}[/tex].
Explanation:
Since, charge is uniformly distributed throughout the sphere.
Therefore, charge density of sphere is, [tex]\rho=\dfrac{total\ charge}{Volume}=\dfrac{Q}{\dfrac{4}{3}\pi r^3}[/tex].
Charge on sphere of radius r is, [tex]q=\rho\times Volume[/tex]
[tex]q=\rho\times \dfrac{4}{3}\pi r^3[/tex]
Putting value of [tex]\rho[/tex] in above equation.
We get , [tex]q=\dfrac{Q}{\dfrac{4}{3}\pi R^3}\times \dfrac{4}{3}\pi r^3\\\\q=\dfrac{Q\times r^3}{R^3}[/tex]
Hence, this is the required solution.