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

Options

A. 0.08 H
B. 0.044 H
C. 0.065 H
D. 80 H

Explanation

To solve the problem step by step, we need to find the required inductance for the arc lamp when connected to an AC supply. Here’s how we can approach it:

### Step 1: Identify Given Values
- Direct current (I) = 10 A
- Voltage (V) = 80 V
- AC supply voltage (V_RMS) = 220 V
- Frequency (f) = 50 Hz

...