A small conducting spherical shell with inner radius a and outer radius b is concentric 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 (magnitude and direction) in terms of q and the distance r from the common center of the two shells for (i) 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) inner surface of the large shell; (iv) outer surface of the large shell? Figure P22.45

A small conducting spherical shell with inner radius a and outer radius b is concentric 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 (magnitude and direction) in terms of q and the distance r from the common center of the two shells for (i) 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) inner surface of the large shell; (iv) outer surface of the large shell? Figure P22.45

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Chapter1: Units, Trigonometry. And Vectors

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A small conducting spherical shell with inner radius a and outer radius b is concentric 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 (magnitude and direction) in terms of q and the distance r from the common center of the 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) inner surface of the large shell; (iv) outer surface of the large shell?
Figure P22.45

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