A series of 3 uncharged concentric spherical conducting shells surround a small central charge q.The potential at a point outside the third shell,at distance r from the center,and relative to V = 0 at $\infty$,is
A) $- \frac { 3 k _ { e } q } { r }$ .
B) $- \frac { ( \ln 3 ) k _ { e } q } { r }$ .
C) $+ \frac { k _ { e } q } { r }$ .
D) $+ \frac { ( \ln 3 ) k _ { e } q } { r }$ .
E) $+ \frac { 3 k _ { e } q } { r }$ .

Question

Quizplus · Accepted Answer

According to Gauss's law, the electric field inside a conducting shell is zero. Therefore, the potential at any point inside the three shells is determined only by the charges enclosed within the spherical surface centered at that point. Since the three shells are uncharged, the potential at any point inside the shells is zero.
At the point outside the third shell, the potential relative to V = 0 at F1F1F1S1∞F1F1F10 is determined by the charges enclosed within the spherical surface centered at that point, which is the third shell. Since the shell is uncharged, the potential external to the third shell is also zero.
Therefore, the correct answer is (C) 11ea99f6_d709_f526_8bb6_6f97bf01c47a_TB5764_11_TB5764_11_TB5764_11_TB5764_11_TB5764_11_TB5764_11_TB5764_11_TB5764_11 .

A Series of 3 Uncharged Concentric Spherical Conducting Shells Surround ∞\infty∞

A Series of 3 Uncharged Concentric Spherical Conducting Shells Surround $\infty$