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What is the value of x when the Wheatsto...

What is the value of x when the Wheatstone's network is balanced?
`P=500Omega, Q=800Omega, R=x+400, S=1000Omega`

Text Solution

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`(P)/(Q)=(R )/(S)`
`(500)/(800)=(x+400)/(1000)`
`(x+400)/(1000)=(500)/(800)`
`x+400=(500)/(800)xx1000=(5)/(8)xx1000`
`x+400=0.625 xx1000`
`x+400=625`
`x=625-400`
`x=225Omega`
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