Two thin spherical shells, one with radius R and the other with radius 2R, surround an isolated charge point particle. The ratio of the number of field lines through the larger sphere to the number through the smaller is:

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leena

Hello!

[tex]\boxed{1 : 1}[/tex]

The number of field lines in a given area does NOT depend on how far the region is away from a source charge.

The number of field lines depends SOLELY on the strength of the charge of the source. Therefore, the amount of field lines encompassed by a shell of radius 'R' and radius '2R' is the same.

The ONLY thing that changes as a result of increased distance is the spacing between the electric field lines which signifies the decreasing electric field strength as you move farther away from the source charge.