A solid, insulating sphere of radius 40.0 cm has positive charge distributed uniformly throughout its volume. The electric field at a distance of 80.0 cm from the center of the sphere is 6.00 N/C. What is the electric field at a distance of 20.0 cm from the center of the sphere (in N/C)

Respuesta :

Answer:

The correct answer to the following question will be "12.0 N/C".

Explanation:

As we know,

Charged from the inside of the sphere throughout consideration of the electrical field or inside sphere.  

⇒  [tex]E_0=\frac{KQ}{r_0^{2}}[/tex]

Now,

⇒  [tex]Q=\frac{E_0r_0^{2}}{k}[/tex]

On putting the values in the above formula, we get

⇒      [tex]=\frac{6.00\times 80.0}{9\times 10^9}(\frac{10^{-2}}{2})^2[/tex]

⇒      [tex]=4.267\times 10^{-10} \ C[/tex]

Electric field within the sphere at that same distance of 20.0 cm from either the core.

⇒  [tex]E_i=\frac{kQr_i}{R^3}[/tex]

On putting the values, we get

⇒      [tex]=\frac{(9\times 10^9)(4.267\times 10^{-10})(20.0)}{(80.0)^3(\frac{10^{-2}}{1} )^2}[/tex]

⇒      [tex]=12.0 \ N/C[/tex]