Murthy 



\ 1 1<rt / 



0110J *0110> ^^0001 ^0001 / 



\ 10 ° I 0001 x. ° 001 x' J 



+ r' [icrdb - V* ] 



100 \ ^0001 , 0001 , J 



+ i<r<J> - V<t> „„ + V'<I> . V'<i> 



1001 1001 . 1000 0001 



x' 



"j r oio 



"< r «-Hooi " V4> oooi ) 



x 1 x'x' 



+ r' (i<r4> - V4> ) 



010 V 0001 , *0001 , / 



z' x'z' 



+ io-<|> - V4> 



0101 0101 



x , +v '*oioo • V ^000l| 

 p< r ooi \ lact> oooi , " v *oooi , J 



I x x' x'x 1 ' 



'ooi V 1(74> oooi , " V4> oooi , jl 



z' x'z 7 / 



2 

 - a«e 



+ r 



+ pg {z+z'cos0-x'sin0-h (1- cos0)> (III. 3) 



The argument of the potentials in the above expression is 

 (x',b+,z') for p + and (x',b-,z') for p . The corresponding 

 potentials may then be denoted by 4> + and <£ ~ 



We may now substitute for p and p~ in (III. l), but before 



doing so we will reduce the domain of integration from the unknown 



region S 1 to a known region with a correction term, 

 'o 



We may write 



190 



