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Electricity
Charging a capacitor at
constant voltage
Ref :
281 265
ENGLISH
After modelling we obtain the values listed in the following table:
Pair (C, R)
curve u
(t):
4
(100 µF - 100 Ω)
curve u
(t):
6
(1000 µF - 100 Ω)
a ≅
We observe that:
τ varies proportionally with the value of C
Study of the coefficient b
The coefficient τ is proportional to R and C. We observe that it is equal to the
product of RC, it is known as the time constant τ = RC.
Numerically we find that:
•
τ = 10 ms [curve u
•
τ = 100 ms [curve u
•
τ = 100 ms [curve u
If we combine the two curves U
(C = 100 µF, R = 1000 Ω) on the same screen: curve u5(t) and
(C = 1000 µF, R = 100 Ω): curve u6(t), we observe that these two curves can
be superimposed, considering experimental errors.
14
E (in V)
a (in V)
9.14
8.51
E
(t)]
4
(t)]
5
(t)].
6
(t) corresponding to the two pairs
c
τ (in ms)
9.02
10.6
8.38
101
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