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"Eq" : p =v^2/R seems to suggest just the apposite .

How do you reconcile this apparent paradox?

- Thread starter omari_yousef
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- #1

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"Eq" : p =v^2/R seems to suggest just the apposite .

How do you reconcile this apparent paradox?

- #2

cepheid

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You reconcile it by noticing that, if V is constant, then you cannot reduce R without increasing I (ohm's law). If you reduce R by a factor of 2, then you increase I by a factor of 2, which means that, using the first equation, your power changes by a factor of (2^2)/2 = 4/2 = 2.

"Eq" : p =v^2/R seems to suggest just the apposite .

How do you reconcile this apparent paradox?

Using the second equation, your power changes by a factor of 1/(1/2) = 2.

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