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Tanzania [10]
4 years ago
10

The current I  in an electrical conductor is inversely proportional to its resistance R . If the current is 1 /4  ampere when th

e resistance is 100  ohms, what is the current when the resistance is 150  ohms? Keep your answer in rational form and omit units.
Mathematics
1 answer:
algol [13]4 years ago
8 0
\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\

\bf \textit{I is inversely proportional to R}\implies I = \cfrac{k}{R}
\\\\\\
\textit{we also know that }
\begin{cases}
I=\stackrel{Amps}{\frac{1}{4}}\\
R=\stackrel{Ohms}{100}
\end{cases}\implies \cfrac{1}{4}=\cfrac{k}{100}\implies \cfrac{100}{4}=k
\\\\\\
25=k\qquad \qquad \boxed{I=\cfrac{25}{R}}
\\\\\\
\textit{when R = 150, what is \underline{I}?}\qquad \qquad I=\cfrac{25}{150}
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