How will you find the inductance of a choke coil needed to run an arc lamp with an AC source of 410V supply at 50Hz? The arc runs at 10 A current and has an effective resistance 40 ohm. [Ans:29mH]

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How will you find the inductance of a choke coil needed to run an arc lamp with an AC source of 410V supply at 50Hz? The arc runs at 10 A current and has an effective resistance 40 ohm. [Ans:29mH]

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Answer 1 · 2016-08-29T15:09:06

Current required by arc lamp $10A$ .
Let $Z$ be the impedance of the arc lamp and choke coil together. Current $I$ is given by
$I=410/Z=10A$
⇒ $Z=41Ω$ ....(1)

We know that Reactance of the choke coil
$ωL=2πf×L$ .....(2)
Where $f$ is the frequency of voltage source.

Also we know that in a LR circuit
$Z^2=R^2+(ωL)^2$
Inserting values of $Z$ from (1) and given value of $R$

$41^2=40^2+(ωL)^2$

⇒ $(ωL)^2=81$
Using (2)
$L=sqrt81/(2π×50)$
⇒ $L=0.029H$ , rounded to three decimal places.
or $L=29mH$

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How will you find the inductance of a choke coil needed to run an arc lamp with an AC source of 410V supply at 50Hz? The arc runs at 10 A current and has an effective resistance 40 ohm. [Ans:29mH]

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