Two non-conducting spheres are uniformly charged with the samecharge Q = 1 mC. T
ID: 1669359 • Letter: T
Question
Two non-conducting spheres are uniformly charged with the samecharge Q = 1 mC. The radius of the first charge isR1 = 9 cm, and the radius of the second chargeR2 = 4.5 cm. They are separated by a distance of D= 10 m and they cannot move. (a) find the approximatedistance from the first charge, along the line connecting the twospheres, where a test charge q will not experiance anyelectrostatic force. (b) Find the potential V on the surfaceof each of the two spheres. (c) consider a charge q = 1 nC moving from to thesurface of the right-hand side charge (of radiusR2). How much work is done by the electric fieldduring this displacement? Two non-conducting spheres are uniformly charged with the samecharge Q = 1 mC. The radius of the first charge isR1 = 9 cm, and the radius of the second chargeR2 = 4.5 cm. They are separated by a distance of D= 10 m and they cannot move. (a) find the approximatedistance from the first charge, along the line connecting the twospheres, where a test charge q will not experiance anyelectrostatic force. (b) Find the potential V on the surfaceof each of the two spheres. (c) consider a charge q = 1 nC moving from to thesurface of the right-hand side charge (of radiusR2). How much work is done by the electric fieldduring this displacement?Explanation / Answer
a) the two sphere have same charge. so for E1=E2. kq/x^2=kq/(d-x)^2 so x=d-x. so x=d/2=5m. b) potential on sphere 1. V1=kq/r1+kq/d=1,01e8(V). potential on sphere 2. V2=kq/r2+kq/d=2,01e8(V). c). A=V*q=1e-9*2,01e8=0,2(J)