198 EXPLORATION GEOPHYSICS 



and 



The vertical component of the anomaly is A^ = (y component) cos $ — 

 (x component) sin 6 = h^ cos 6 — h^ sin 6 and the horizontal component is 

 Ah = hy sin 6 + hg cos 6. (Compare Figure 88.) Thus, for the cross mag- 

 netization : 



(85) 



(85a) 



The vertical and horizontal components of the anomaly due to the end 

 effect have already been computed. In the new notation, the anomalies are 



^ dVi _ 2thd 

 and 



*'i dd d^' + P ^ ^ 



A.=^ = ^!lll- (84a) 



A comparison of Equation 84 (end effect) and Equation 85 (cross 

 magnetization effect) shows that the horizontal component due to the 

 end effect has the same form as the vertical component due to cross mag- 

 netization. Also, the horizontal component due to cross magnetization has 

 the same form as the vertical component due to the end effect. 



The relative magnitudes of the two effects depend on the orientation 

 of the layer with respect to the magnetic field of the earth. For example, 



