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Chapter 32: Q. 29 (page 925)

What capacitor in series with a resistor 100惟and a 20mHinductor will give a resonance frequency of1000Hz

Short Answer

Expert verified

Capacitor of 50渭Fwill give us resonance frequency of 1000Hz

Step by step solution

01

Given Information

We are given that in series RLC circuit

R=100惟L=20mH=20脳10-3H蝇=1000Hz

02

Explanation

Let value of capacitance be C

As we know condition of resonance i.e蝇=1/LC

putting value of capacitance ,inductance and resonance frequency in above equation we get,

1000=1/C脳20脳10-3

Squaring both sides,

C=1/20000C=50渭F

Hence, capacitor of 50渭Fwill give us resonance frequency of 1000Hz.

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Most popular questions from this chapter

For what absolute value of the phase angle does a source deliver 75%of the maximum possible power to an RLC circuit?

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

Commercial electricity is generated and transmitted as three-phase electricity. Instead of a single emf, three separate wires carry currents for the emfs E1=E0cosvt,E2=E0cos1vt+120掳,andE3=E0cos1vt-120掳over three parallel wires, each of which supplies one-third of the power. This is why the long-distance transmission lines you see in the countryside have three wires. Suppose the transmission lines into a city supply a total of 450MWof electric power, a realistic value.

a. What would be the current in each wire if the transmission voltage were E0=120Vrms?

b. In fact, transformers are used to step the transmission-line voltage up to 500kVrms. What is the current in each wire?

c. Big transformers are expensive. Why does the electric company use step-up transformers?

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

(a) the frequency is very small and

(b) the frequency is very large

FIGURE Q32.1shows emf phasors a, b, and c.

a. For each, what is the instantaneous value of the emf?

b. At this instant, is the magnitude of each emf increasing, decreasing, or holding constant?
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