An arc lamp requires a direct current of 10A and 80V to function.If it is connected to 220 V (rms) ,50 Hz AC supply the series inductor needed for it to work is close to:

A) 0.08 H

B) 0.044 H

C) 0.065 H

D) 80 H

Since the frequency is less I thought that it is simply an output of a rectifier consisting of AC ripples.The DC component of the rectifier I thought was the average value of AC ripples which is $200 \sqrt 2 * \frac{2}{\pi}$ and the resistance of inductor is $2\pi f L$ So since inductor is connected in series to the load resistance current through inductor is 10A . Hence $$10=\frac{\text{average voltage or dc voltage}}{\text{inductor reactance}}$$ This gives me an answer of 0.065 H

However I am not sure the method I adopted is correct because I am taking capacitance reactance in DC voltage which should be zero.