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Statement of a problem № 3900

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A resistor, capacitor and inductor are connected in series across an AC voltage source shown as in Fig. 14.3. (i) Find the magnitude of the inductive reactance X L of the inductor and capacitive reactance X C of the capacitor. (ii) Find the magnitude of the total impedance Z of the circuit and sketch the impedance phasor diagram for this circuit. (iii) Find the total current IT through the circuit. (iv) Find the phase angle between supply voltage and current through the circuit. (v) Find the voltages across R, C and L and show these on a phasor diagram. (vi) What is the condition for resonance to occur in this type of circuit and at what frequency would this occur?

Solution:
A resistor, capacitor and inductor are connected in series across an AC voltage

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