Question

A 65 ? resistor, an 8.0 ?F capacitor, and a 36 mHinductor are connected in series in an ac circuit.

Part A

Calculate the impedance for a source frequency of 300 Hz.

Express your answer to two significant figures and include the appropriate units.

Z =

SubmitRequest Answer

Part B

Calculate the impedance for a source frequency of 30.0 kHz.

Express your answer to two significant figures and include the appropriate units.

Z =

Answer 1

Impedance at 300 Hz will be

Z = sqrt (R^2 + (XL - Xc)^2)

R = 65 ohm

XL = w*L = 2*pi*f*L

XL = 2*pi*300*36*10^-3 = 67.86 ohm

Xc = 1/wC = 1/(2*pi*f*C)

Xc = 1/(2*pi*300*8*10^-6) = 66.31 ohm

Z = sqrt (65^2 + (67.86 - 66.31)^2)

Z = 65.02 ohm

Part B

Impedance at 30 kHz will be

Z = sqrt (R^2 + (XL - Xc)^2)

R = 65 ohm

XL = w*L = 2*pi*f*L

XL = 2*pi*30*10^3*36*10^-3 = 6785.84 ohm

Xc = 1/wC = 1/(2*pi*f*C)

Xc = 1/(2*pi*30*10^3*8*10^-6) = 0.66 ohm

Z = sqrt (65^2 + (6785.84 - 0.66)^2)

Z = 6785.49 ohm