<p>An inductance coil has a resistance of 100 ohm. When a.c signal of frequency 1000 Hz is applied to the coil, the applied voltage leads the current by&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mn>45</mn><mo>&#8728;</mo></msup></math>. Calculate the self-inductance of the coil.</p>