An AC source powers a circuit containing a resistor, a capacitor, and an inducto

Question

An AC source powers a circuit containing a resistor, a capacitor, and an inductor as shown. R C L b a If the inductance is 1 H , the capacitance is 1 F , and the resistance 1 ? , find the impedance Zab across a b . ? = 0.5 Hz and ?0 = 1 ? LC = 1 Hz . Answer in units of ?.

An AC source powers a circuit containing a resistor, a capacitor, and an inductor as shown WM a. If the inductance is 1 H, the capacitance is 1 F, resistance 12, find the impedance Zab across a b w 0.5 Hz and 1 Hz VLC Answer in units of 2

Explanation / Answer

reactance due to inductor, XL = jwL

and reactance due to capacitor, Xc = 1 / jwC

at w = 0.5 Hz,

XL = 0.5 x 1 =j 0.5 ohm

Xc = 1/(0.5 x 1) = -j2 ohm

R = 1 ohm

all there are in series,

Z = 1 + j0.5 - j2 = 1 - j1.5

|Z| = sqrt(1^2 + 1.5^2) = 1.80 ohm .....Ans

at w = w0

XL = XC

hence j (XL - Xc) = 0

Zab = R = 1 ohm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.