A series combination of 10 Ω and unknown resistance, R, is in parallel with 20 Ω. This parallel combination is in series with 10 Ω. Find the value of the unknown resistor R if the total resistance is equal to the unknown R.

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Superposition Theorem

The superposition theorem is applied to linear systems. For such systems, the output from two different inputs equals the sum of the outputs from each input separately. On applying this theorem many times we get the output from any number of inputs equal to the sum of the outputs from the individual inputs separately.