sa charge Q deposited on it. An exact solution of this nsity profile on the disk is σOR o(r) √R²-² rm of o(r) to calculate the capacitance of the disk. (2) nter of the disk. of the disk. Explain why the potential in part (b) is
sa charge Q deposited on it. An exact solution of this nsity profile on the disk is σOR o(r) √R²-² rm of o(r) to calculate the capacitance of the disk. (2) nter of the disk. of the disk. Explain why the potential in part (b) is
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hello, Please I need solutions for this question a,b, and c.
Transcribed Image Text:3. Capacitance of a Conducting Disk
A conducting disk of radius R has a charge Q deposited on it. An exact solution of this
problem shows that the charge density profile on the disk is
o(r):
-
σOR
R²-2
In this problem we will use the form of o(r) to calculate the capacitance of the disk.
(2)
(a) Find oo in terms of Q.
(b) Find the potential at the center of the disk.
Calculate the capacitance of the disk. Explain why the potential in part (b) is
relevant.
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