Athin spherical shell with radius r1 = 4.00 cm is concentric with a larger thin spherical shell with radius r2 = 7.00 cm . both shells are made of insulating material. the smaller shell has charge q1=+6.00nc distributed uniformly over its surface, and the larger shell has charge q2=−9.00nc distributed uniformly over its surface. take the electric potential to be zero at an infinite distance from both shells. (a) what is the electric potential due to the two shells at the following distance from their common center: (i) r=0; (ii) r=4.00cm; r=6.00cm?

(b) what is the magnitude of the potential difference between the surfaces of the two shells? which shell is at the higher potential: the inner shell or the outer shell?

In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j? 1. write the equation 2.list out your known variables 3.plug the numbers into the equations 4.solve 5.write your solution statement that includes initial energy and final

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

This is a form of winter precipitation. it is frozen precipitation falling as ice pellets. snowflakes melt into raindrops as they pass through a thin layer of warmer air. the raindrops then refreeze into particles of ice when they fall into a layer of sub-freezing air near the surface of the earth. this precipitation is called a) hail. b) rain. c) sleet. d) snow.