394 ELECTRICAL MEASUREMENTS 



ZM RM 

 Z N = RN 



Zp = Rp -f- Tp ^y 



Substituting in (26) gives 



r P ) - 



This one equation being in complex is really equivalent to two, 

 for when all the terms are transposed to the left-hand side the 

 sum of all the horizontal components, "the real terms," must be 

 zero and the sum of all the vertical components, "the imaginary 

 terms," must also be zero. Equating the vertical components, 



RM RN 



or 



Cx = C P ^- (27) 



KM 



Equating the horizontal components, 



R M _ Rx +r x .- , 



r> "pi.. (**&) 



KN K P + r P 



Determination of Phase Angle of Condenser. As previously 

 denned, the phase angle of a condenser, <p, is the deviation 

 of the phase of the current from the ideal lead angle of 90 which 

 would exist in a perfect condenser. To determine the difference 

 of the phase angles of C x and C P , <p x <p P , from (27) and (27 a), 



Rx ~h TX _ RM _ C P 

 7~> I A " T~) " /nf 

 Kp ~\~ Tp KN ^>x 



When multiplied out and then multiplied through by co this 

 becomes 



but 



wCxTx = tan <px and wCpTp = tan <p p 



tan tpx tan <p p = wC P R P wC x Rx. (28) 



