Surrounding a q = -50 mu C point charge is a conducting spherical shell. The con
ID: 1417761 • Letter: S
Question
Surrounding a q = -50 mu C point charge is a conducting spherical shell. The conductor has been given a total charge of + 60 mu C. Use Gauss prime s law to find the amount of charge on the inner and outer surfaces of the shell. If the conducting shell has an inner radius a, derive an equation for the magnitude of the electric field as a function of the radial distance r, E(r) for distances r lessthan a. If the conducting shell has an outer radius b, derive an equation for E(r) for radial distances a lessthan r lessthan b. Derive an equation for E(r) for distances r greaterthan b. Sketch the field lines for the point charge/conducting shell combination. Explain how your results show that the electric field created by this combination at points r greaterthan b is identical to that of single point charge. What is that single point charges value?Explanation / Answer
a) charge on outer surface = 60 - 50 = 10 microC
charge on inner surface = 50 microC
b) Electric field = k * (50 * 10-6)/r2
c) Electric field = 0 ( due to inside of conductor)
d) Electric field = k * (10 * 10-6)/r2
e) Electric field lines will be pointing radially outwards in direction .
f) The single point charge value is = (60 - 50) = 10 microC .
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