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Q.

What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?
1) Inductive reactance will be doubled and current will be halved
2) Both, inductive reactance and current will be doubled
3) Inductive reactance will be halved and current will be doubled
4) Both, inductive reactance and current will be halved

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answer is 3.

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Detailed Solution

Inductive reactance,
$X_{L} = ω L = 2 π f L$
Where $f =$ frequency
$I = \frac{ε}{X_{L}} = \frac{ε}{2 π f L}$
$∴$ When frequency is halved, $f' = \frac{f}{2}$ inductive.

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What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?1) Inductive reactance will be doubled and current will be halved2) Both, inductive reactance and current will be doubled3) Inductive reactance will be halved and current will be doubled4) Both, inductive reactance and current will be halved