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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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Physics
1 year
2021-08-18T18:16:33+00:00
2021-08-18T18:16:33+00:00 2 Answers
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Answers ( )
Answer:
Electric flux = 23 N · m2/C
Explanation:
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