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This is what a book says -
“The number of lines per unit area through a surface perpendicular to the lines is
proportional to the magnitude of the electric field in that region. Thus, the field
lines are close together where the electric field is strong and far apart where the
field is weak.”
+
“These properties are illustrated in Figure 23.20. The density of lines through
surface A is greater than the density of lines through surface B. Therefore, the magni-
tude of the electric field is larger on surface A than on surface B. Furthermore, the fact
that the lines at different locations point in different directions indicates that the field
is nonuniform.”
What I concluded from the above -
That means the total intensity of E.F passing though an area is independent of the number of lines of force, depends more its density and is directly proportional to it.
So even if we are comparing 2 areas having areas A and 2A and suppose x lines of forces passes through them so the total intensity of the field at A should be greater than 2A, if the areas are charged partially, then the force on A will be more than 2A despite the fact that the number of lines of forces passing through both of them are the same the E.F on A will be higher cause the density of the lines are A is higher.
Talking about insane analogies, Suppose we have 2 area A and 500000*A, and if the density of the lines in A is more than 500000*A, the force on A will be more than on 500000*A. Suppose the the flux density on A is 1000 lines of forces/m2 and on 500000*A is 999 lines of forces/m2...then also by what the book says, A will experience more force/field.
Considering the above, suppose we have 2 areas -
http://img223.imageshack.us/img223/5449/2areas.jpg
Then even if the small area is one trillionth of the larger area, it will experience more force simply cause the flux density is more on it.
Edit:Consider the charge on both the areas as the same.
Well...sounds insane to me.
And what do you mean when one line of force passes through an area?...I mean the field at this state should have a minimum possible value, but still needs to decrease with an inverse square relation to distance...what will happen then?
This is what a book says -
“The number of lines per unit area through a surface perpendicular to the lines is
proportional to the magnitude of the electric field in that region. Thus, the field
lines are close together where the electric field is strong and far apart where the
field is weak.”
+
“These properties are illustrated in Figure 23.20. The density of lines through
surface A is greater than the density of lines through surface B. Therefore, the magni-
tude of the electric field is larger on surface A than on surface B. Furthermore, the fact
that the lines at different locations point in different directions indicates that the field
is nonuniform.”
What I concluded from the above -
That means the total intensity of E.F passing though an area is independent of the number of lines of force, depends more its density and is directly proportional to it.
So even if we are comparing 2 areas having areas A and 2A and suppose x lines of forces passes through them so the total intensity of the field at A should be greater than 2A, if the areas are charged partially, then the force on A will be more than 2A despite the fact that the number of lines of forces passing through both of them are the same the E.F on A will be higher cause the density of the lines are A is higher.
Talking about insane analogies, Suppose we have 2 area A and 500000*A, and if the density of the lines in A is more than 500000*A, the force on A will be more than on 500000*A. Suppose the the flux density on A is 1000 lines of forces/m2 and on 500000*A is 999 lines of forces/m2...then also by what the book says, A will experience more force/field.
Considering the above, suppose we have 2 areas -
http://img223.imageshack.us/img223/5449/2areas.jpg
Then even if the small area is one trillionth of the larger area, it will experience more force simply cause the flux density is more on it.
Edit:Consider the charge on both the areas as the same.
Well...sounds insane to me.
And what do you mean when one line of force passes through an area?...I mean the field at this state should have a minimum possible value, but still needs to decrease with an inverse square relation to distance...what will happen then?
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