<p>A 25.0&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>&#956;</mi></math>F capacitor, a 0.10 henry inductor and a 25.0 ohm are connected in series with an A.C. source whose emf is given by&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>&#949;</mi></math>&nbsp;= 310 sin 314 t (volt).</p>

<p>(i) What is the frequency of the emf?</p>

<p>(ii) What is teh reactance of the circuit?</p>

<p>(iii) What is the impedance of the circuit?</p>

<p>(iv) What is the current of the circuit?</p>

<p>(v) What is the phase angle of the current by which it leads or lags the applied emf?</p>

<p>(vi) What is the expression for the instantaneous value of current of the circuit?</p>

<p>(vii) What are the effective voltages across the capacitor, the inductor and the resistor?</p>

<p>(viii) Construct a vector diagram for these voltages.</p>

<p>(ix) What value of inductance will make the impedance of circuit minimum?</p>