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In a circuit L, C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45°. The value of C is

(1) $\frac{1}{2\pi f\left(2\pi fL+R\right)}$

(2) $\frac{1}{\pi f\left(2\pi fL+R\right)}$

(c) $\frac{1}{2\pi f\left(2\pi fL-R\right)}$

(4) $\frac{1}{\pi f\left(2\pi fL-R\right)}$