## A uniform linear charge density of 4.0nC/m is distributed along the entire x axis. Consider a spherical(radius = 5.0 cm) surface centered on

Question

A uniform linear charge density of 4.0nC/m is distributed along the entire x axis. Consider a spherical(radius = 5.0 cm) surface centered on the origin. Determine theelectric flux through this surface.

1. 79 N · m2/C

2. 45 N · m2/C (what i think itis)

3. 68 N · m2/C

4. 62 N · m2/C

5. 23 N · m2/C (what the reply said itwas)

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1 year 2021-08-18T18:16:33+00:00 2 Answers 89 views 0

Electric flux = 23 N · m2/C

Explanation:

Ф = 45 N m² / C

Explanation:

For this exercise we use Gauss’s law

Ф = E .dA = qint / ε₀

A = 4π r²

Ф = E 4π r² = qint /ε₀

Since the charge is along the x axis the linear charge density

λ = q / x

q = λ x

The charge inside the Gaussian surface is the charge on the line from x = -5 cm to x = 5 cm, so x_total = 10 cm

Φ = λ x_total / ε₀

Let’s calculate

Φ = 4.0 10⁻⁹ 0.10 / 8.85 10⁻¹²

Ф = 45 N m² / C