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Meter Bridge

Four resistan...

Question

Four resistance $5 Ω, 10 Ω, 15 Ω$ and an unknown $X Ω$ are connected in series so as to from Wheatstones network. Determine the unknown resistance $X$ , if the network is balanced with these numerical value of resistance.

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Solution

For wheatstone bridge to be balanced $\frac{P}{Q} = \frac{R}{S}$
$\Rightarrow$ $\frac{5}{10} = \frac{15}{X}$

$\Rightarrow X = 30 Ω$

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