<p>A current of 1A flows through a coil when it is connected across a DC battery of 100V. If DC battery is replaced by an AC source of 100V and angular frequency 100rad&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math>, the current reduces to 0.5A. Find</p>

<p>(i) impedance of the circuit,</p>

<p>(ii) self-inductance of coil,</p>

<p>(iii) phase difference between the voltage and the current.</p>