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Question
The equivalent resistance of the following circuit diagram is \(4 \Omega\). Calculate the value of X.
Numerical
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Solution
Given: The equivalent resistance is \(4\ \Omega\).
Formula: Using the equivalent-resistance expression shown in the figure,
\[4=\frac{12(5+X)}{17+X}\]
Calculation:
\[4(17+X)=12(5+X)\]
\[68+4X=60+12X\]
\[8=8X\]
\[X=1\ \Omega\]
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