<p>A capacitor of unknown capacitance, resistance of 100<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>&#937;</mi></math>&nbsp;and an inductor of self inductance L(=<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>/</mo><msup><mi>&#960;</mi><mn>2</mn></msup></math>) henry are connected in series across an a.c. source of 200V and 50 Hz. Calculate the value of the capacitance and the current that flows in the circuit when the current is in phase with this voltage.</p>