If a series RLC circuit contains a 25 ohm resistance, a 45 ohm capacitive reactance and a 60 ohm inductive reactance, what is the total impedance?
Hi Lexi When XL > Xc Z = SQRT((R*R) + [(XL - Xc)*(XL*Xc)]) your value; R = 25ohms, XL = 60ohms, Xc = 45ohms z = SQRT((25*25) + [(60-45)*(60-45)]) Z = 29.155ohms
when XL > Xc then z = sqrt((R*R) + [(XL-Xc)*(XL-Xc)]) z = sqrt((25*25) + [(60-45)*(60-45)]) z = 29.155ohms
Impedance of the capacitor is -j45 ohm, of the inductor is +j60 ohm and of the resistor is 25 ohm. Thus, total impedance Z=25+j60-j45=25+j15 in polar form |Z|=sqrt[(25^2)+(15^2)]=29.15 arg Z=arctan (15/25)=30.9 degrees thus Z=(29.15<30.9) ohm