Answer:
Φ=3.868×10⁵N.m²/C
Explanation:
Charge of plate q=21 µC =21×10⁻⁶C
Area of plate A₁=160 cm²=160×10⁻⁴m²
Permitivity of free space ε₀=8.85×10⁻¹²C²/N.m²
Area for calculating flux is given as:
[tex]A=\pi r^{2}\\ A=\pi (0.029)^{2} \\A=2.64074*10^{-3}m^{2}[/tex]
Angle between the normal of the area and the electric field:θ=9°
The Charge density on the plate is given as:
σ=q/A₁
σ=21×10⁻⁶C/160×10⁻⁴m²
σ=1.3125×10⁻³C/m²
Electric field of an infinite oppositely charged parallel plates:
E=σ/ε₀
E=1.3125×10⁻³ / 8.85×10⁻¹²
E=1.483×10⁸N/C
The Electric flux for uniform electric field:
Φ=EACosΘ
Φ=1.483×10⁸(2.64074×10⁻³m²)Cos(9⁰)
Φ=3.868×10⁵N.m²/C
