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A voltmeter of resistance R(V) and an am...

A voltmeter of resistance `R_(V)` and an ammeter of resistance `R_(A)` are connected as shown in an attempt to measure the resistance `R`. The measured value of the resistance is `R_(M) = (V)/(I_(0))` where `V` is reading of voltmeter and `I_(0)` is reading of the ammeter. find the true value of the resistance in terms of `R_(M), R_(V) and R_(A)`.

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The correct Answer is:
`R=(R_(M)R_(V))/(R_(V)-R_(M))`
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