2) Two concentric conducting spheres with radii ofR| = 20 cm and R2 = 40 cm have uniformly distributed charges on them of Q1 = 60 ac and Q2 = 30 ac Q; respectively. ' ' a) b) d) Use Gauss's law to nd i) The electric eld 5: anywhere inside sphere 1, i.e. 5.0\") for any radius r 4 1?... ii) The electric eld 52 between sphere l and sphere 2, i.e. E20\") for any radius r in the range R. R2. (hint: remember to count all the charge inside!) Use the eld E30\") to nd the electric potential at any radius r outside ofRZ, taking the potential to be zero at infinity. When integrating from a larger to smaller value the very rst thing you should do, before anything else, is to reverse the order of integration and change the sign of the integral (as is done in the book). Do the same for the region between the spheres using E20). Be sure to replace AV by V}.- - V: and remember that V! is the potential at r = R2 from part b), while If}. is the potential V(r) at any radius 3' between R1 and R2. Do the same for the region inside sphere 1, using E10\"). Again be sure to replace AV by V_,- - V,- and remember that V! is the potential at r = R. from part c), while If} is the potential V(r) at any radius r inside R1)