Question about Electric Field lines (MCQ)

AI Thread Summary
The discussion centers on a homework question regarding electric field lines through two concentric spherical surfaces surrounding a positive point charge. According to Gauss's law, the electric flux through both spheres is the same, resulting in equal numbers of electric field lines passing through each surface. Therefore, the conclusion is that N1 equals N2, meaning the number of field lines through the sphere of radius (2R) is the same as through the sphere of radius (R). The provided answer options suggest a misunderstanding, as the correct interpretation aligns with the equal flux derived from Gauss's law. The discussion emphasizes the importance of understanding electric field concepts in relation to spherical symmetry.
Helmy
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*This is a question in an assignment that i have to submit.

1. Homework Statement

Two imaginary spherical surfaces of radius (R) and (2R) respectively surround a positive point charge (Q) located at the center of the concentric spheres. What is the number of electric field lines (N2) going through the sphere of radius (2R) compared to the number of field lines (N1) going through the sphere of radius (R)?
2. Given Answers:
1- N2 = 8 N1
2- N2 = 1/64 N1
3- N2 = 64 N1
4- N2 = N1
5- N2 = 1/8 N1
PS:
-so i integrated E.dA according to Gauss's law and substituted both radii and they gave the same result which is q/ϵ0, So when compared the two spheres have the same amount of flux, and knowing that the flux is proportional to number of field lines this means that both spherical surfaces have the same number of field lines passing through them so N1 = N2 right?
 
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