The capacitor in the figure below is designed to filter low-frequency signals, i

Question

The capacitor in the figure below is designed to filter low-frequency signals, impeding their transmission between circuits.
(a) What capacitance (in nanofarads) is needed to produce a 160 k reactance at a frequency of 160 Hz? nF (b) What would its reactance be (in ohms) at 1.00 MHz?
The capacitor in the figure below is designed to filter low-frequency signals, impeding their transmission between circuits.
(a) What capacitance (in nanofarads) is needed to produce a 160 k reactance at a frequency of 160 Hz? nF (b) What would its reactance be (in ohms) at 1.00 MHz?
The capacitor in the figure below is designed to filter low-frequency signals, impeding their transmission between circuits.
(a) What capacitance (in nanofarads) is needed to produce a 160 k reactance at a frequency of 160 Hz? nF (b) What would its reactance be (in ohms) at 1.00 MHz?

Explanation / Answer

Given that

reactannce Xc=160K ohm

frequency f=160 Hz

now we find the capacitance

160*10^3=1/2*3.14*160*C

capacitance C=6.2 nF

now we find the reactance at 1Mhz

reactance Xc=1/2*3.14*10^6*6.2*10^-9=25.7 ohm

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