How many excess electrons must be distributed uniformly within the volume of an isolated plastic sphere 29.0 cmcm in diameter to produce an electric field of 1000 N/CN/C just outside the surface of the sphere?

= 1.46 * 10 ¹⁰ electron

Explanation:

Given that

E, Electric field = 1000N/C

D, Diameter = 29cm

r, radius = 0.145

E = kq/r²

→ q = Er²/k

q = (1000 * (0.145) ²) / (9 * 10⁹)

q = 2.34 * 10⁻⁹C

q = Ne

where e = 1.6 * 10⁻¹⁹

N = (2.34 * 10⁻⁹) / (1.6 * 10⁻¹⁹)

= 1.46 * 10¹⁰ electron