Problem for the extra credit: a telescope consists of a single pos- itive lens of diameter 1 m and focal length 20 m and a ccd camera with 2048 × 2048 square pixels with 9 μm big pixels, placed in the focus of the lens. tele- scope is observing a binary star with two components, separated by 3 × 108 km, 5 light-years away. what is the angular resolution of this telescope? can the telescope see these two stars separated? (i. e. can it 'resolve them)? if yes, what is the distance between the stars on the ccd image (in pixels)? how big are the images of the stars on the ccd (in pixels)? what is the 'field of view of the camera?

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin.answer in one word.part bfind e(r), the magnitude of the electric field at distance r from the point charge q.express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q.express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r