Physics Impedance Given resistance, capacitor, inductor and hertz?
How do I solve for impedance.
Find the impedance for a circuit consisting of a 13.8 ohm resistor, a 15.6 micro-farad capacitor, a 11 milli-henry inductor, and an AC voltage source with a frequency of 567 hertz.
Give your answer to one decimal.
- billrussell42Lv 71 month agoFavourite answer
Xc = 1/(2πfC) = 1/(2π567•15.6e-6)
Xʟ = 2πfL = 2π567•11e-3
X = 2π567•11e-3 – 1/(2π567•15.6e-6)
Z = √(13.8² + X²)
Z = √(13.8² + (2π567•11e-3 – 1/(2π567•15.6e-6))²)
For a series circuit of a resistor R, a capacitor C and
an inductor L, the impedance may be calculated as follows:
Capacitive Reactance Xc = 1/(2πfC) = 1/ωC
Inductive Reactance Xʟ = 2πfL = ωL
Impedance Z = √(R² + X²)
where X = Xʟ – Xc
ω = 2πf