a wave in the ocean has an amplitude of 3m. Winds pick up suddenly, increasing the wave's amplitude to 6m. How does this change
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Answer:
Explanation:
The power delivered in the wire is given by:
where V is the voltage of the battery and R is the resistance of the wire.
Since the voltage of the battery is constant, we can rewrite this equation as follows:
(1)
At the beginning, the initial resistance is , and the power delivered is
. Later, when the temperature increases, the power becomes
, and the new resistance is
. Using (1), we can write
(2)
So, the new resistance must be 3/2 of the initial resistance.
We know that the resistance increases linearly with the temperature, as
where
is the temperature coefficient
is the change in temperature
Using (2), we can rewrite this equation as
and we find:
So, the new temperature of the wire must be