I read a statement about the lines of forces of an electric field:
Total number of lines of force emanating from a charge body is equal to the charge of the body measured in Coulombs.
The statement seems to confuse me.
Does this mean that 1 Coulomb of charge(Q) has only one line of force associated to it?
So if more than one test charge is placed in the vicinity of this Q then only one of them would experience the force since the line of force should pass through the center of Q and the test charge which should mean that there is only one line of force?
Is this statement correct or am I misconstruing something here?
Edit:
I'm adding this after some thinking of my own: Let $d \phi$ be the flux through a small element of a Gaussian surface dS $$d\phi = \vec E.d\vec S=E.dS cos{\theta}$$ Assuming E to be perpendicular to the surface which would mean $theta =0$ due to charge Q would be given as $$E=\frac{Q}{4\pi \epsilon_o r^2}$$ which would mean
$$\phi = \int_S \vec E.d \vec S = \int_S { E} {dS }= E \times 4\pi r^2$$
(Gaussian surface if a sphere of radius r)
which would mean $\phi= E \times 4\pi r^2 = \frac{Q}{4\pi \epsilon_o r^2} \times 4\pi r^2 = \frac{Q}{\epsilon_0} $
but I cannot see how flux is equal to the charge.