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Chapter 32: Q. 16 (page 924)

A high-pass RCfilter with a crossover frequency of1000Hz uses a 100鈩� resistor. What is the value of the capacitor?

Short Answer

Expert verified

The value of the capacitor,C=1.59脳10-6F

Step by step solution

01

RC Filter

The opposite is true for an RC high-pass filter, commonly known as an RC Differentiator.

As seen above, the input signal is applied directly to the capacitor via a resistor in parallel with the output.

High-frequency signals can travel through this arrangement, whereas low-frequency impulses are blocked by the capacitor.

02

Find Capacitance

fc=1000Hz

R=100惟

w=1RC

2蟺fc=1RC

Multiply both sides byR

2蟺fcR=1C

C=12蟺fcR

Fill in the blanks in the equation

localid="1650211859861" C=12蟺脳(1000)Hz脳(100)惟

C=1.59脳10-6F

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Most popular questions from this chapter

Consider the parallel RLC circuit shown in FIGURECP32.72.

a. Show that the current drawn from the emf is

I=蔚o1R2+1蝇L-蝇C2

Hint: Start with a phasor that is common to all three circuit elements.

b. What is Iin the limits 蝇鈫�0and 蝇鈫�鈭�?

c. Find the frequency for which Iis a minimum.

d. Sketch a graph of Iversus 蝇.

An inductor has a peak current of 330渭A when the peak voltage at45MHzis 2.2V

a. What is the inductance?

b. If the peak voltage is held constant, what is the peak current at 90MHz?

The resonance frequency of a series RLC circuit is less than the EMF frequency. Does the current lead or lag the EMF? Explain.

a. Show that the average power loss in a series RLC circuit is

Pavg=蝇2蔚rms2R蝇2R2+L2蝇2-蝇o22

b. Prove that the energy dissipation is a maximum at蝇=蝇o.

A series RLC circuit has a 200kHz resonance frequency. What is the resonance frequency if the capacitor value is doubled and, at the same time, the inductor value is halved?
See all solutions

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