All Problems

Constant Electric Field in a Vacuum

Problem 3.20

Two point charges \(q\) and \(-q\) are separated by the distance \(2 l\) (Fig. 3.3). Find the flux of the electric field strength vector across a circle of radius \(R\).

Reveal Answer
∣Φ∣=qε0(1−11+(R/l)2). The sign of Φ depends on how the direction of the normal to the circle is chosen.|\Phi|=\frac{q}{\varepsilon_{0}}\left(1-\frac{1}{\sqrt{1+(R / l)^{2}}}\right) . \text { The sign of } \Phi \text { depends on how the direction of the normal to the circle is chosen.}
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