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An air-cored coil having a winding resistance of 10 \(\Omega\) is connected in series with a variable capacitor \( C_x \). The series circuit is excited by a 10 V sinusoidal voltage source of angular frequency 1000 rad/s. As the value of the capacitor is varied, a maximum voltage of 30 V was observed across it. Neglecting skin effect, the value of the inductance of the coil in millihenry is \(\underline{\hspace{2cm}}\).
  • GATE IN - 2021
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  • The Series RLC Circuit