Answer:
Approximately
and approximately
.
Explanation:
Let
and
denote the capacitance of these two capacitors.
When these two capacitors are connected in parallel, the combined capacitance will be the sum of
and
. (Think about how connecting these two capacitors in parallel is like adding to the total area of the capacitor plates. That would allow a greater amount of charge to be stored.)
.
On the other hand, when these two capacitors are connected in series, the combined capacitance should satisfy:
.
(Consider how connecting these two capacitors in series is similar to increasing the distance between the capacitor plates. The strength of the electric field (
) between these plates will become smaller. That translates to a smaller capacitance if the amount of charge stored
stays the same.)
The question states that:
, and
.
Let the capacitance of these two capacitors be
and
. The two equations will become:
.
From the first equation:
.
Hence, the
in the second equation here can be replaced with
. That equation would then become:
.
Solve for
:
.
.
.
Solve this quadratic equation for
:
or
.
Substitute back into the equation
for
:
In other words, these two capacitors have only one possible set of capacitances (even though the previous quadratic equation gave two distinct real roots.) The capacitances of the two capacitors would be approximately
and approximately
(both values are rounded to two significant digits.)
The ocean's water's density increases when it gets colder.
The molecules in the water get colder and move less, causing it to densify... As though it were freezing (though we all know the ocean hasn't ever frozen)
Just look at the graph, and find a curve that has fallen to
half of its original value 95 = 47.5 in 13 B years.
Do I really hafta tell you which one it is ?
It's curve ' C ' .
And the cold air moves up wards where it heatens