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Electric Charges And Fields

Question

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If electric field in a region is radially outward with magnitude E = Ar. The charge contained in a sphere of radius r_o centred at the origin is
$\frac{4 {πε}_{0} A}{{r_{0}}^{3}}$
$\frac{1}{4 {πε}_{0}} . \frac{A}{{r_{0}}^{3}}$
$4 {πε}_{0} {Ar}_{0}^{3}$
$\frac{1}{4 {πε}_{0}} {Ar}_{0}^{3}$

Solution

C.

4 {πε}_{0} {Ar}_{0}^{3}

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

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