Answer:
61.54N/C
Explanation:
From the question, the sphere indicates an electric field outside the sphere. This is expressed by:
E=1/4π£0
From this equation,E is inversely proportional to 1/r^2.
As this 1/4π£0 is express as constant and the charge q is contant too, then the expression between electric fields at different distances considering the charge q is expressed as:
E1/E2=r2^2/r1^2
Therefore, E2=E1(r1^2/r2^2
Substituting the given values into the equation : distance =0.100cm from the center of the sphere, E1=460N/C, distance of a electric field r1=0.218cm and Electric field,E2, distance of r2 =0.596cm.
E2=(r1^2/r2^2)
E2=460N/C((0.218cm)^2/(0.596cm)^2)=61.5429NC
E2=61.54N/C.
