A diver 50 m deep in 10∘C fresh water exhales a 1.0-cm-diameter bubble. What is the bubble's diameter just as it reaches the sur
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The equivalent resistance of n resistors connected in parallel is given by
(1)
In our problem, the resulting resistance of the 5 pieces connected in parallel is
, and since the 5 pieces are identical, their resistance R is identical, so we can rewrite (1) as
From which we find
.
So, each piece of wire has a resistance of
. Before the wire was cut, the five pieces were connected as they were in series. The equivalent resistance of a series of n resistors is given by
So if we apply it at our case, we have
therefore, the resistance of the original wire was
.
In our problem, the resulting resistance of the 5 pieces connected in parallel is
From which we find
So, each piece of wire has a resistance of
So if we apply it at our case, we have
therefore, the resistance of the original wire was
Question is incomplete. Missing part:
Find the charge on the capacitor at the following times:
1) t = 0 mu S
2) t = 1 mu S
3) t = 50 mu S
1)
We start by calculating the initial charge on the capacitor. For this, we can use the following relationship:
where
C is the capacitance
Q0 is the initial charge stored
V0 is the initial potential difference across the capacitor
When the capacitor is connected to the battery, we have:
Solving for ,
So, when the battery is disconnected, this is the charge on the capacitor at time t = 0.
2)
To find the charge on the capacitor at any other time t, we use the equation:
where
t is the time
is the resistance
is the capacitance
Therefore, at time , we have:
3)
As before, we use again the equation:
However, here the time to consider is
Substituting into the formula,