A conducting spherical shell of inner radius 10.0 cm and outer radius 15.0 cm ha
ID: 1348002 • Letter: A
Question
A conducting spherical shell of inner radius 10.0 cm and outer radius 15.0 cm has a charge +3.0 micro-Coulomb placed at the center of the sphere (i.e. in empty space at the center). A charge of -3.0 micro-Coulomb is placed on the conducting sphere.
a. How are the charges distibuted in the conductor?
b. Using Gauss's law, give a rough sketch of the electric field as a function of distance r from the center i.e. E vs r from r = 0 to r > 15.0 cm and afterwards. No need to do any calculations.
c. What is the value of the electric field just above and just under the outer surface of the spherical shell?
d. Give a sketch of the eletric field lines.
e. If the charge at the center of ther sphere was placed 5 cm away from the center, would the field profile outside the sphere r > 15.0 cm change and would the answer to part a change?
Explanation / Answer
(a) For case 1 when we have to find charge inside the the smaller sphere , in that case charge is zero becose charge reamains on the surface .
case 2 : when we have to find the the charge at inner radious that is 10cm the charge is + 3 micro coulamb here .
case 3 : when we have to fiend the charge at radious 15cm here net charge is again zero because of summation of similar and charges of same magnitude and opposite nature .
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