All Problems

Constant Electric Field in a Vacuum

Problem 3.42

Two thin parallel threads carry a uniform charge with linear densities λ\lambda and −λ.-\lambda . The distance between the threads is equal to ll Find the potential of the electric field and the magnitude of its strength vector at the distance r≫lr \gg l at the angle θ\theta to the vector 1 (Fig. 3.5 )

Reveal Answer
φ≈λl2πε0rcos⁡θ,E≈λl2πε0r2\varphi \approx \frac{\lambda l}{2 \pi \varepsilon_{0} r} \cos \theta, E \approx \frac{\lambda l}{2 \pi \varepsilon_{0} r^{2}}
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