Question about Electric Field lines (MCQ)

In summary, the question asks for the comparison of the number of electric field lines passing through two imaginary spherical surfaces of different radii surrounding a point charge. After integrating E.dA according to Gauss's law and substituting the radii, it is found that both surfaces have the same amount of flux and therefore the same number of field lines. This means that N1 = N2, as the flux is proportional to the number of field lines.
  • #1
Helmy
1
0
*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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  • #2
Hello Helmy, :welcome:

Please use the template in its complete form. Read the guidelines to understand why we can't help you this way.
 

FAQ: Question about Electric Field lines (MCQ)

What is an electric field line?

An electric field line is an imaginary line that shows the direction and strength of the electric field at various points in space. It represents the force that a positive test charge would experience if placed at that point in the electric field.

How are electric field lines drawn?

Electric field lines are drawn by starting at a positive charge and moving outward in all directions, representing the direction of the electric field. The number of lines drawn is proportional to the strength of the field, with more lines indicating a stronger field.

What is the significance of the spacing of electric field lines?

The spacing of electric field lines represents the strength of the electric field. Closer spacing between lines indicates a stronger electric field, while wider spacing indicates a weaker field.

Do electric field lines ever intersect?

No, electric field lines do not intersect. They always remain parallel to each other and never cross. If they were to intersect, it would imply that the electric field has two different directions at that point, which is not physically possible.

How can electric field lines be used to determine the direction of the electric field?

The direction of the electric field can be determined by the direction in which the electric field lines point. They always point away from positive charges and towards negative charges. The direction of the field at any point can be determined by drawing a tangent line to the field line at that point.

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