Question

A surface completely surrounds a 3.3 × 10-6 C charge. Find the electric flux through this surface when the surface is (a) a sphere with a radius of 0.76 m, (b) a sphere with a radius of 0.18 m, and (c) a cube with edges that are 0.46 m long.

Answer 1

Answer:

Electric flux in a) , b) and c) is same which is   0.373 × 10 ⁶ N m²/C

Explanation:

given,

surface charge (q) = 3.3 × 10⁻⁶ C

to calculate electric flux = ?

a) radius = 0.76 m

area of sphere = 4 π r²

electric flux = $\dfrac{q}{\varepsilon}$

$\varepsilon = 8.85 \times 10^{-12} C^2/Nm^2$

electric flux =  $\dfrac{3.3 \times 10^{-6}}{8.85 \times 10^{-12} }$

flux = 0.373 × 10 ⁶ N m²/C

electric flux in the other two cases will also be same as electric flux is independent of area

so, Electric flux in a) , b) and c) is same which is   0.373 × 10 ⁶ N m²/C