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Chapter 32: Q. 17 (page 924)

A low-passRC filter with a crossover frequency of 1000Hzuses a 100Ωresistor. What is the value of the capacitor?

Short Answer

Expert verified

Value of the capacitor,C=1.59μF

Step by step solution

01

Capacitor

A capacitor may be a device for storing power that consists of two insulated conductors in close proximity.

The parallel-plate capacitor may be a simple example of such a storage device.

02

Find the capacitor

f=1000Hz(hertz)

R=100Ω(ohm)

The frequency of crossover is

w=1RC

2πf=1RC

Rmultiply each sides of the equation.

2πfR=1C

C=12πfR

Substitute the values

localid="1650212157053" C=12π×(1000)Hz×(100)Ω

C=1.59μF(micro frequency)

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Most popular questions from this chapter

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a 2.1mH inductor, and a 550nF capacitor. It is connected to a 50V rms oscillating voltage source with an adjustable frequency. An oscillating magnetic field is observed at a point 2.5mm from the center of one of the circuit wires, which is long and straight. What is the maximum magnetic field amplitude that can be generated?

In FIGURE, what is the current supplied by the emf when

(a) the frequency is very small and

(b) the frequency is very large

a. Show that the peak inductor voltage in a series RLC circuit is maximum at frequency

ωL=1ωo2-12R2C2-12

b. A series RLC circuit with εo=10.0Vconsists of a 1.0Ωresistor, a 1.0μHinductor, and a 1.0μFcapacitor. What is VLat ω=ωoand ω=ωL?

For a series RLC circuit, show that

a. The peak current can be written I=Imaxcosϕ.

b. The average power can be writtenPsource=Pmaxcos2ϕ.

A series RLC circuit attached to a 120V/60Hzpower line draws a 2.4Arms current with a power factor of 0.87. What is the value of the resistor?
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