A parallel$-$plate capacitor, with a measured capacitance C $=250$AapBpicofarads $(2501012$ F$),$ is charged to a potential difference of $2000$ volts. The plates are $1\mathrm{.}5$ cm apart. We are interested in the field outside the capacitor, the fringing field which we usually ignore. In particular, we would like to know the field at a distance from the capacitor large compared with the size of the capacitor itself. This can be found by treating the charge distribution on the capacitor as a dipole. Estimate the electric field strength$($a$)$ atapoint$3$metersfromthecapacitorintheplaneoftheplates; $($b$)$ at a point the same distance away, in a direction perpendicularto the plates.