Question

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?

Answer 1

Answer:

= 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