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Old Jul 18th 2018, 09:17 PM   #1
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Lightbulb Vav = 2v₁v₂ / (v₁ + v₂) Could you simplify it please?

Vav = 2v₁v₂ / (v₁ + v₂) Could you simplify it please?
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Old Jul 19th 2018, 01:39 AM   #2
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I don't think you have given enough information!
What are v1 and v2?
What is Vav?

Is this a general mathematical expression?
or is it representing a particular physical phenomena?
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Old Jul 19th 2018, 01:44 PM   #3
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Are you perhaps trying to solve it for v2?

$\displaystyle V_{ave} = \frac{2 v_1 v_2}{v_1 + v_2}$

$\displaystyle (v_1 + v_2) V_{ave} = 2 v_1 v_2$

$\displaystyle v_1 V_{ave} + v_2 V_{ave} = 2 v_1 v_2$

$\displaystyle v_2 V_{ave} - 2v_1 v_2 = - v_1 V_{ave}$

$\displaystyle v_2 ( V_{ave} - 2 v_1 ) = - v_1 V_{ave}$

$\displaystyle v_2 = \frac{- v_1 V_{ave} }{ V_{ave} - 2 v_1}$

or
$\displaystyle v_2 = \frac{v_1 V_{ave} }{ 2 v_1 - V_{ave}}$

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