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Let \( E_{1}(r), E_{2}(r) \) and \( E_{3}(r) \) be the respective electric fields at a distance \( r \) from a point charge \( Q \), an infinitely long wire with constant linear charge density \( \lambda \) and an infinite plane with uniform surface charge density \( \sigma \). If \( E_{1}\left(r_{0}\right)=E_{2}\left(r_{0}\right)=E_{3}\left(r_{0}\right) \) at a given distance \( r_{0} \), then
(1) \( Q=4 \sigma \pi r_{0}^{2} \)
(2) \( r_{0}=\frac{\lambda}{\pi \sigma} \)
(3) \( E_{1}\left(\frac{r_{0}}{2}\right)=2 E_{2}\left(\frac{r_{0}}{2}\right) \)
(4) \( E_{2}\left(\frac{r_{0}}{2}\right)=4 E_{3}\left(\frac{r_{0}}{2}\right) \)
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