ti2 means that the voltage (or charge) of the system will increase to half more
ID: 1582722 • Letter: T
Question
ti2 means that the voltage (or charge) of the system will increase to half more of what is left in a time equal to tig seconds. Therefore if a system is already at half charge (1a seconds after starting) then after ty more seconds the system will be charged to 50% plus half of 50%. That is 25% more, or 75% of the entire charge Let's say that four tia's have gone by. That means that the charge (or voltage) is at (50% + 1/2*50% + 1 /2#1 /2*50% + 1 /2* 1/2* 1 /2*50%) = 93.75% of maximum charge. Yikes! Now look in your manual for a more simple mathematical derivation of this concept. 9. Given t 12 to be 0.0124 seconds, how long should it take to reach 93.75% of maximum charge? time = Answer Remember that q=VC. 10. What would be the maximum charge in Coulombs if you have 4 volts and a capacitor of 330 micro Farads? Answer:Explanation / Answer
9
from the calculation given in the question, the number of half lifes required to reach 93.75% is
n=4
then the required time is,
t=n x t1/2
=(4 )(0.0124 s)
=0.0496 s
10
the charge is
q= CV
=(330x10-6 F)(4 V) {remember 1 micro Farad=10-6 F}
=1320 x10-6 C
=1.320 x10-3 C
=1.320 mC (1 0-3 C=1 mC)
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