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An electric lamp which runs at 40 V cons...

An electric lamp which runs at 40 V consumes 10 A current is connected to AC mains at 100 V, 50 cycles per second. Calculate the inductance of the choke.

Text Solution

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Data supplied, I = 10 A, V= 40 V, E= 100 V, f=50 Hz, `omega = 2pi f = 100 pi `
`I = (E )/(sqrt(R^2 + omega^2 t^2) )`
` 10 = (100)/(sqrt(16 + (100 pi L)^2)`
solving we get ` sqrt(16 + (10 pi L)^2) = 10`
`16 + (100 pi L)^2 = 100`
`L = 0.02916 H`
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