A box has a large electric circuit inside it. When it was connected to an ac generator it was found that it was putting a lot of load on the generator and the power factor of the box was `(1)/(sqrt(2)).` A capacitor of capacitance C was connectedin series with the box and the power factor of the circuit became equal to the ideal value. Find the impedance of the box. The generator has an angular frequency of`omega.`

A box has a large electric circuit inside it. When it was connected to

1.	A box has a large electric circuit inside it. When it was connected to an ac generator it was found that it was putting a lot of load on the generator and the power factor of the box was `(1)/(sqrt(2)).` A capacitor of capacitance C was connectedin series with the box and the power factor of the circuit became equal to the ideal value. Find the impedance of the box. The generator has an angular frequency of`omega.`
Answer» Correct Answer - `(sqrt(2))/(omegaC)`

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