# Four resistances 5 Ω, 10 Ω, 15 Ω and X (unknown) are connected in the cyclic order so as to form a Wheatstone network.

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Four resistances 5 Ω, 10 Ω, 15 Ω and X (unknown) are connected in the cyclic order so as to form a Wheatstone network. Determine X if the network is balanced.

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Data : P = 5 Ω,

Q = 10 Ω,

R = 15 Ω

Since the network is balanced,

$\cfrac PQ$ = $\cfrac XR$

∴ $\cfrac 5{10}$ = $\cfrac X{15}$

∴ X = 15 × $\cfrac 5{10}$ = 7.5 Ω