The battery voltage, resistance and capacitance for three RC circuits are given
ID: 3895128 • Letter: T
Question
The battery voltage, resistance and capacitance for three RC circuits are given in the table below. Consider the initial current I0 in each circuit, immediately after the switch is closed. Rank the circuits in order of increasing I0.
(a)
(b)
each circuit to charge up to half of its final charge (final charge is Q). Rank the circuits in order of increasing time t.
I'm very confused about these kinds of questions, really need help to solve that!!!!!!!!!!!!!
Refer to the previous problem. During the charge-up process, consider the time t that it would take the capacitor in each circuit to charge up to half of its final charge (final charge is Q). Rank the circuits in order of increasing time t. Select one: B equals CExplanation / Answer
a)
Immediately after switch is closed capacitor acts as shor cicruit ,so maximum current in three circuits
IA =E/R =12/4 =3 A
IB=9/3 =3 A
IC=9/9 =1 A
so
C<A=B
b)
Time constant
TA=RC =4*3u =12 us
TB=3*1=3 us
TC=9*2=18 us
Given Q=(1/2)Qo
Q=Qo[1-e^(-t/T)]
For circuit A
(1/2)Qo=Qo[1-e^(-ta/12u)]
ln(0.5)=-ta/12u
ta =8.32 us
for circuit B
(1/2)Qo=Qo[1-e^(-tb/3us)
ln(0.5) =tb/3us
tb=2.08 us
For circuit C
(1/2)Qo=Qo[1-e^(-t/18u)]
ln(0.5)=-t/18u
t=12.48 us
so
B<A<C
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