Answer:
The maximum magnitude of the electric field due to this sphere is 47200 N/C.
This value is near by option D.
Explanation:
Given that,
Radius of the sphere R= 0.30 m
Distance from the center of the sphere r= 0.50 m
Electric field = 17000 N/C
r > R and for this value of r,
We need to calculate the charge
Using formula of electric field
[tex]E=\dfrac{kQ}{r^2}[/tex]
[tex]Q=\dfrac{Er^2}{k}[/tex]
Put the value into the formula
[tex]Q=\dfrac{17000\times(0.50)^2}{9\times10^{9}}[/tex]
[tex]Q=4.72\times10^{-7}\ C[/tex]
The charge is positive as the field direction is radially outward.
For a non conducting sphere of radius R,
We need to calculate the maximum magnitude of the electric field due to this sphere
Using formula of electric field
[tex]E_{max}=\dfrac{kQ}{r^2}[/tex]
Put the value into the formula
[tex]E_{max}=\dfrac{9\times10^{9}\times4.72\times10^{-7}}{0.3^2}[/tex]
[tex]E_{max}=47200\ N/C[/tex]
Hence, The maximum magnitude of the electric field due to this sphere is 47200 N/C.
