A charge of 1.0 × 10-12 C is located inside a sphere, 1.25 cm from its center. What is the electric flux through the sphere due to this charge?

0.113 Nm²/C.

Explanation:

Applying Gauss law,

Ψ = EA Equation 1

Where Ψ = Electric Flux. E = Electric Field, A = Area of the sphere.

Equation 1 can be rewritten as,

Ψ = (q/4ε₀R²)(4πR²)

Where q = charge, R - radius of the sphere, ε₀ = permitivity of free space.

ψ = q/ε₀ Equation 2

Given: q = 1×10⁻¹² C,

Constant: ε₀ = 8.85×10⁻¹² C²/N.m²

Substitute these values into equation 2

ψ =1×10⁻¹²/8.85×10⁻¹²

Ψ = 0.113 Nm²/C.