How do you write the equation if R is inversely proportional to the square of I and I = 25 when R = 100?

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How do you write the equation if R is inversely proportional to the square of I and I = 25 when R = 100?

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Answer 1 · 2018-04-14T10:11:53

$R = \frac{62500}{I^{2}}$ $R=62500/I^2$

Explanation:

$the initial statement is R \propto \frac{1}{I^{2}}$ $"the initial statement is "Rprop1/I^2$

$to convert to an equation multiply by k the constant$ $"to convert to an equation multiply by k the constant"$
$of variation$ $"of variation"$

$\Rightarrow R = k \times \frac{1}{I^{2}} = \frac{k}{I^{2}}$ $rArrR=kxx1/I^2=k/I^2$

$to find k use the given condition$ $"to find k use the given condition"$

$I = 25 when R = 100$ $I=25" when "R=100$

$R = \frac{k}{I^{2}} \Rightarrow k = R I^{2} = 100 \times 25^{2} = 62500$ $R=k/I^2rArrk=RI^2=100xx25^2=62500$

$"the equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(R=62500/I^2)color(white)(2/2)|)))$

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How do you write the equation if R is inversely proportional to the square of I and I = 25 when R = 100?

1 Answer

Explanation:

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