Question

A solid sphere of radius R₁ and volume charge density `rho = rho_0/"r"` is enclosed by a hollow sphere of radius R₂ with negative surface charge density σ, such that the total charge in the system is zero. `rho_0` is a positive constant and r is the distance from the center of the sphere. The ratio R₂/R₁ is ______.

Options

• `sigma/rho_0`

• `sqrt((2sigma)/rho_0)`

• `sqrt(rho_0/(2sigma))`

• `rho_0/(sigma)`

Answer 1

A solid sphere of radius R₁ and volume charge density `rho = rho_0/"r"` is enclosed by a hollow sphere of radius R₂ with negative surface charge density σ, such that the total charge in the system is zero. `rho_0` is a positive constant and r is the distance from the center of the sphere. The ratio R₂/R₁ is `underline(sqrt(rho_0/(2sigma)))`.