devarshi-dt-logo

Question:

A uniformly charged thin spherical shell of radius R carries uniform surface charge density of σ per unit area. It is made of two hemispherical shells, held together by pressing them with force F (see figure). F is proportional to :

1ε₀σ²R

1ε₀σ²R²

1ε₀σ²R

1ε₀σ²R²

Solution:

Pressure = σ²/2ε₀
So, force = pressure × area = σ²/2ε₀ × πR²