Impedance: What is the impedance at 1500 Hz if a 100-Ω resistor, 20-mH coil, and 1.0-μF...

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Question

Impedance: What is the impedance at 1500 Hz if a 100-Ω resistor, 20-mH coil, and 1.0-μF capacitor are connected in series?

Answer 1

Answer #1

Given

frequency f = 1500 Hz

resistance R = 100 Ω

inductance L = 20 mH = 20*10^-3 H

capacitance C = 1.0 μF =1.0*10^-6

Impedance Z = √ [R² +( X_L-X_C)²]

where X_L = 2πf L, = 188.49

X_C = 1/(2πfC) = 106.10

Impedance Z = √ [100^2+(188.49-106.10)^2]

Impedance Z = 56.67 ohm

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Answer 2

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