+2q, and the outer shell has charge +4q. Figu (a) Calculate the electric field E (magni- tude and direction) in terms of q and the distance r from the common center of the two shells for (i) r< a; (ii) a d. Graph the radial component of E as a

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22.45 • Concentric Spherical Shells. A small conducting
spherical shell with inner radius a and outer radius b is concen-
tric with a larger conducting spherical shell with inner radius c
and outer radius d (Fig. P22.45). The inner shell has total charge
+2q, and the outer shell has charge +4q.
(a) Calculate the electric field E (magni-
tude and direction) in terms of q and the
distance r from the common center of the
Figure P22.45
two shells for (i) r< a; (ii) a <r < b;
(iii) b < r < c; (iv) c <r < d; (v) r > d.
Graph the radial component of E as a
function of r. (b) What is the total charge
on the (i) inner surface of the small shell;
(ii) outer surface of the small shell; (iii) in-
ner surface of the large shell; (iv) outer surface of the large shell?
Transcribed Image Text:22.45 • Concentric Spherical Shells. A small conducting spherical shell with inner radius a and outer radius b is concen- tric with a larger conducting spherical shell with inner radius c and outer radius d (Fig. P22.45). The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the electric field E (magni- tude and direction) in terms of q and the distance r from the common center of the Figure P22.45 two shells for (i) r< a; (ii) a <r < b; (iii) b < r < c; (iv) c <r < d; (v) r > d. Graph the radial component of E as a function of r. (b) What is the total charge on the (i) inner surface of the small shell; (ii) outer surface of the small shell; (iii) in- ner surface of the large shell; (iv) outer surface of the large shell?
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