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

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

Step-by-step 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 =
`(q)/(\varepsilon)`

`\varepsilon = 8.85 * 10^(-12) C^2/Nm^2`

electric flux =
`(3.3 * 10^(-6))/(8.85 * 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