In 1963, maarten schmidt of the california institute of technology found the most distant object that had ever been seen in the universe so far. called 3c273, it emitted electromagnetic radiation with a power of 2×1013 suns, or 100 times that of the entire milky way galaxy! schmidt called 3c273 a "quasi-stellar radio source," a name that was soon shortened to "quasar." since then, astronomers have found many quasars, some substantially more powerful and distant than 3c273. quasar 3c273 is moving away from earth at about speed 0.16c. the sun is 1.5×1011mfrom earth and emits energy at a rate of 3.8×1026j/s caused by the conversion of 4.3×109kg/s of mass into light and other forms of electromagnetic energy. the hubble constant is
h=70.8km/smpc=70.8103m/s3.09×1022m= =22.9×10−19s−1
estimate the mass of 3c273 that is converted to light and other forms of radiation each minute. by comparison, the mass of earth is 6×1024kg.

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