Question

starting with V=Voe^-t/CR derive t1/2=CRln2

Answer 1

V/Vo = e ^ (-t/CR)
-t/CR = ln (V/Vo)
t = - CR ln (V/Vo)
= CR ln (Vo/V)

if V = 1/2 * Vo, then Vo = 2V, so Vo/V = 2,

ERGO t(1/2) = CR ln(2)

t(1/2) is half life, time for mass to decay exponentially to half it's original amount.

Answer 2

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Answer 3

sorry i left i had to fix something

Answer 4

hope this helped bye