A series AC circuit contain a resistor, an inductor of 150mH, a capacitor of 5?F

Question

A series AC circuit contain a resistor, an inductor of 150mH, a capacitor of 5?F, and a generator with Vmax= 240V operating at 50.0Hz . The maximum current in the circuit is 100 mA . Calculate (a) the inductive reactance (b) the capacitive reactance (c) the impedance (d) the resistance I the circuit, and (e) the phase angel between the current and the generator voltage A series AC circuit contain a resistor, an inductor of 150mH, a capacitor of 5?F, and a generator with Vmax= 240V operating at 50.0Hz . The maximum current in the circuit is 100 mA . Calculate (a) the inductive reactance (b) the capacitive reactance (c) the impedance (d) the resistance I the circuit, and (e) the phase angel between the current and the generator voltage

Explanation / Answer

given L =140mH C=5 micro farad

a)inductive reactance =WL =2pif x L =2 x 3.14 x 50 x 150 x10-3 =47.123H

b)capacitive reactance =(1/wc) =(1/(2 x 3.14 x 50 x 5 x 10-6)) =636.619F

c)impedance =sqrt(R2 +(636.619-47.123)2)

resistance R =240/0.1 =2400ohm

impedance =2485ohms

d)resistance =2400ohm

e)power factor cos(theta) =R/Z =2400/2485 =0.9655

phase angle theta =15.076

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