Homework Sourseintegrate LV dc dz CC1 069 Z V D 12 Z0 C0 Hint I have
integrate :
-LV* ( dc / dz ) = (C*-C1)* 0.69 *( Z V / D )^(1/2)
Z=0 C=0
Hint: I have a similar problem which is:
-LV* ( dc / dz ) = (C*-C1)* 0.69 *( D V / Z )^(1/2)
Z=0 C=0
the Answer is :
1 / ( 0.69* ( D V )^2 ) * (- LV dc) / ( C*-C1 ) = ( 1 / Z )^(1/2) dz
C1 / C* = 1 - e^{ [-1.38( D Z / (L^2) V)]^(1/2) }
-LV* ( dc / dz ) = (C*-C1)* 0.69 *( Z V / D )^(1/2)
Z=0 C=0
Hint: I have a similar problem which is:
-LV* ( dc / dz ) = (C*-C1)* 0.69 *( D V / Z )^(1/2)
Z=0 C=0
the Answer is :
1 / ( 0.69* ( D V )^2 ) * (- LV dc) / ( C*-C1 ) = ( 1 / Z )^(1/2) dz
C1 / C* = 1 - e^{ [-1.38( D Z / (L^2) V)]^(1/2) }
Solution
-LV(dc/dz)=0.69(c-c1)*sqrt(zV/D)
[(-LV)/(0.69(c-c1))]dc=sqrt(zV/D)dz
-100LVln(c-c1)=46sqrt(V/D)*z3/2
from here you can either find z(c) or c(z)
c(z)=c1+exp[(-0.46/(Lsqrt(DV)))z3/2]
