In an LCR series circuit, an inductor 30 mH and a resistor $1 \Omega$ are connected to an AC source of angular frequency 300 rad/s. The value of capacitance for which, the current leads the voltage by $45^{\circ}$ is $\frac{1}{x} \times 10^{-3} \mathrm{~F}$. Then the value of $x$ is $\_\_\_\_$ .
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