1. A series circuit connected across a 200 volt, 60 Hz line consists of a capacitor of capacitance 30 ?F, a non-inductive resistor of 44 ?, and a coil of inductive resistance of 90 ?. Determine: (a) The current in the circuit. (b) The p.d. across each element. (c) The power factor of the circuit. (d) The power absorbed by the circuit. 2. A series circuit consisting of a 100 ? non-inductive resistor; a coil with a 0.10 H inductance and negligible resistance; and a 20 ?F capacitor is connected across a 110 V, 60 Hz power source. (a) Find the current, power loss, the phase angle and source voltage. (b) Find the voltage reading across the 3 elements. 3. In a purely inductive AC circuit L = 25.0 mH and the rms voltage is 150 V. (a) Calculate the inductive reactance and the rms current in the circuit if the frequency is 60.0 Hz. (b) If the frequency increases to 6.0 kHz. What happens to the rms current in the circuit. 4. A series R-L-C circuit has R = 425 ?, L = 1.25 H and C = 3.50 ?F. It is connected to an AC source with a frequency 60.0 Hz and ?Vmax = 150 V. Determine: the inductive reactance; the capacitive reactance; the impedance of the circuit; the maximum current; the phase angle between the current and the voltage; and the maximum voltage across each element.
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