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Fig. 5.15 Distribution of the field of the cloud before lightning discharge ( continuous line ), the
field of the cloud without taking into account the conductivity of air ( dashed line ), and the critical
field ( dotted line )
h 0 C L c
. z C h 0 / 2
! (5.19)
h 0 C L c
. z h 0 / 2
E cloud . z / E 0
C L c
C L c
Let the cloud field increase by exponential law:
1 exp
;
t
ch
E 0
(5.20)
where ch is a characteristic time of charging in conducting media. It causes
occurrence of a polarization field:
tot q exp
ch
0
1
t
exp. tot t/
tot q 1
E polarization D E cloud . z /
@
A ;
1
(5.21)
where q is defined by Eq. 5.15
The resulting field of the cloud before lightning discharge is defined by the sum
E before D E cloud C E polarization :
(5.22)
The field in the atmosphere before lightning discharge, depending on altitude, is
shown in Fig. 5.15 ( r D 0, E 0 D 500 V/cm, cloud D 3,000 s).
 
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