A spherical conducting shell iwth a radius of a 200 cm has a charge of +300 uC..

Question

A spherical conducting shell iwth a radius of a 200 cm has a charge of +300 uC.....

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A spherical conducting shell with a radius of 200 cm has a charge of +300 mu C. Rank the electric potential at the labeled points. Greatest 1 2 3 4 5 Least OR, the electric potential is the same but not zero for all five points OR, the electric potential is zero for all five points. OR, the ranking for the electric potential cannot be determined. Carefully explain your reasoning. 8. In each case shown, the solid sphere has radius a and total charge +Q. However, the sphere in case A is an insulator with its charge uniformly distributed throughout its volume, and the sphere in case B is a conductor. Consider the statements below about the electric field at points P and S in the two cases. Alex: "The electric potential at point $ will be the same for the two cases because the charges of the spheres are the same. Likewise, the electric potential at P will be the same " Brooke: "The electric potential at 5 will be different in the two cases because one is a conductor while the other is an insulator. The electric potential at P will be the same because they have the same charge." Christina: "The electric potential at both points S and P will be different because one is a conductor while the other is an insulator." Which of these students is correct? Alex Brooke Christina None of these students Explain.

Explanation / Answer

here,

radius of sphere, r = 200 cm = 2 m
charge, q = 300 uC = 0.0003 C

the electric field inside a conducting sphere is zero, so the potential remains constant at the value it reaches at the surface:

at point A = B= C = 0

at D
V = K*Q/R
V = 9*10^9*0.0003/2
V = 1350 KV

at E:
V = K*Q/r
v = 9*10^9*0.0003/3
V = 900 KV

D > E > a = b = c

part b:
the electric field inside the sphere of uniform charge is zero at the center and increases linearly with radius r

so at point p inside conductor Electric field will be zero but not incase of insulator

so christina statement is correct,

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