PHIL 211 Chapter 10: Spirit

A nonconducting disk of radius (a) lies in the z=0 plane with its center at the origin. The disk is uniformly charged and has a total charge Q.

Find (E of z) on the z axis at

(a) z=.2a,

(b) z=.4a,

(c) z=.8a,

(d) z=a, and

(e) z=2a.

Circular motion is best analyzed in a coordinate system with

a)x-and z-axes

b)r-, t-, and z-axes

c)x-and y-axes

d)x-,y-, and z-axes 

By substituting T=T(m)+A(s)exp(-z/d)sin[(2pi/P)(t-t(m))] intodT/dt=(d/dz)[(k/C(s))(dT/dz)]=(d/dz)[a(h)(dT/dz)], verify that theformer is a solution of Fourier's equation of heat conductionthrough a homogenous soil medium, and then, derive the expressionfor the ground heat flux.

T(m)-->the mean temperature of the surface
A(s)-->amplitude
P-->period
t(m)--> the time when T(s)=T(m)