601 
31 
ally Sie = ay == [05 
jis bets 
where t,, is the time at which the maximum response occurs. The maximum re- 
sponse R,, at this time is given by 
ran pele em) 8 
0 
Let X= t,/T. Then 
R, = 1 (ead at emit) 
but, from the preceding 
Eliminating t,, we obtain 
= 1 XC EX) 1/1 - x) 
Ree Teas = ) 
and 
A [19] 
This is the desired function giving the peak response to be expected 
from a given value of X= toy de For values of X less than 1/20 we may use 
1.0 ; 
09 + 
0.8} —+ —4 
Rm 
O7 {4 
0.6 : i + 
t 1 
) 0.02 0.04 0.06 0.08 0.10 
x 
Figure 19 - Peak Response as a Function of X= OVE 
The maxima of the family of curves in Figure 18 are plotted against the parameter ey /ite 
This graph is a plet of Equation [19]. 
R= X* with an error which is less than 1 per cent. A plot of Equation [19] 
is given in Figure 19. 
As a numerical example of the use of this result, suppose the am- 
plifier is required to record 97 per cent of the peak pressure due to the 
underwater explosion of an ounce of tetryl. What time of rise should the 
