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Question:

A series circuit consisting of an inductor of negligible resistance and a pure resistor of 12Ω is co?

A series circuit consisting of an inductor of negligible resistance and a pure resistor of 12Ω is connected to a 30V, 50Hz AC supply. If the current is 2A, calculate: (a) the PD across the resistor (b) the PD across the inductor (c) the inductance of the inductor (d) the phase angle between applied voltage and current. (e) the impedance of the circuit

Answer:

(a) PD 2A X 12 Ohm 24 Volts (b) Z 30V/2A 15 Ohm Xl (15 Ohm) X sin(arc cos 12/15) 9 Ohm PD across inductor 2A x 9 Ohm 18 Volts (c) 9 Ohm (6.28) x (50) x inductance Inductance 9 / 314 28.7mH (d) Phase angle arc tan Xl/R arc tan 9/12 36.87 degrees (e) Impedance 30V/2A 15 Ohm

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