JEE MAIN - Physics (2021 - 17th March Evening Shift - No. 9)
What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?
Both, inducting reactance and current will be doubled.
Inductive reactance will be doubled and current will be halved.
Both, inductive reactance and current will be halved.
Inductive reactance will be halved and current will be doubled.
Explanation
$${X_L} = \omega L$$
$$X{'_L} = \left( {{{{X_L}} \over 2}} \right)$$
$$ \because $$ $$I = {V \over {{X_L}}}$$
& $$I' = {{2V} \over {{X_L}}} = 2I$$
$$X{'_L} = \left( {{{{X_L}} \over 2}} \right)$$
$$ \because $$ $$I = {V \over {{X_L}}}$$
& $$I' = {{2V} \over {{X_L}}} = 2I$$
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