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

Answers ( )

    0
    2021-08-18T18:17:41+00:00

    Answer:

    Electric flux = 23 N · m2/C

    Explanation:

    0
    2021-08-18T18:17:43+00:00

    Answer:

    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

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