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vlabodo [156]
3 years ago
14

The current (I) varies directly as the voltage (V) in an electric circuit. If the current is 4 amperes when the voltage is 100 v

olts, find the current when the voltage is 75 volts.
Mathematics
1 answer:
Margarita [4]3 years ago
6 0
\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&&  y={{ k }}x
\end{array}\\\\
-----------------------------\\\\

\bf \textit{l varies directly to V}\implies l=kV
\\\\\\
\textit{now, we also know that }
\begin{cases}
l=4\\
V=100
\end{cases}\implies 4=k100
\\\\\\
\cfrac{4}{100}=k\implies \cfrac{1}{25}=k\impliedby \textit{constant of variation}
\\\\\\
thus\implies l=\cfrac{1}{25}V
\\\\\\
\textit{what is the current when the voltage is 75?}\qquad l=\cfrac{1}{25}\cdot 75
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