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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

Use a phasor diagram to analyze the RL circuit of FIGURE P32.49. In particular,

a. Find expressions for I,VRandVL.

b. What is VR in the limits ω→0and ω→∞?

c. If the output is taken from the resistor, is this a low-pass or a high-pass filter? Explain.

d. Find an expression for the crossover frequency ωC.

FIGUREEX32.9shows voltage and current graphs for a capacitor.

a. What is the emf frequency f?

b. What is the value of the capacitance C?

The peak current to and from a capacitor is 10mA. What is the peak current if

a. The emf frequency is doubled?

b. The emf peak voltage is doubled (at the original frequency)

A seriesRLCcircuit consists of a 25Ωresistor, a 0.10Hinductor, and a100mFcapacitor. It draws a2.5Armscurrent when attached to a 60Hzsource. What are (a) the emfErms, (b) the phase angleϕand (c) the average power loss?

The current in a series RLC circuit lags the EMF by 20°. You cannot change the EMF. What two different things could you do to the circuit that would increase the power delivered to the circuit by the EMF?
See all solutions

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