Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

A $115-\Omega$ resistor, a 67.6 -mH inductor, and a $189-\mu$ F capacitor are connected in series to an ac generator. (a) At what frequency will the current in the circuit be a maximum? (b) At what frequency will the impedance of the circuit be a minimum?

a) see workb) 44.5 $\mathrm{Hz}$

Physics 102 Electricity and Magnetism

Chapter 24

Alternating-Current Circuits

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Alternating Current

Cornell University

Rutgers, The State University of New Jersey

University of Washington

Hope College

Lectures

11:53

In physics, a charge is a …

10:30

The electric force is a ph…

01:18

A $10.0-\Omega$ resistor, …

02:13

$\bullet$ A 125$\Omega$ re…

07:28

A 1.15 -k\Omega resistor a…

01:49

A 30.0 -mH inductor has a …

03:45

A A 100.0$\Omega$ resistor…

02:05

A $300.0-\Omega$ resistor …

02:07

An ac circuit contains a $…

03:26

A $400-\Omega$ resistor, a…

02:01

(a) What is the reactance …

05:59

A resistor with $R = 300\s…

for the first time thing, you have to remember the following. So there is a relation between the Ari mass voltage and current in the circuit. And this relation is as follows. There are events of alterations. It goes to the R. M s current times. They see this then the hairy mess current is he goes to the harem as voltage divided by an impedance. Now remember the following this is the vocation of alters depends only on the stores and not on anything else. No, The only thing that we can change anything that circuit he's impedance. So to get the maximum current ever we have to couple it. What is the minimum impedance ever. So we have a minimum Impedance, you have the maximum possible are a masquerade. Now remember that the impudence is equal to the square it off r squared, plus the difference between the two react Ince's So it's very easy to see that when this turns is it goes to zero, we have the minimal impedance. Then, because of that, we conclude the following through the biggest ever current that can run for the circuit. Who happened when the reactant is on the same. And when this happens, the circuit is running out residence. And we already know that the resonant frequency of that, sir quite is equals to one divide it by two pi times the square it off the inducted its times the capacitance playing in the values that are given by the problem we get the following resonant frequency one divided by to pi times the square id off 67.6 Time stand to the minor street because off the mili perfect here for us clothes No sorry times 189 times 10 to the minus six Because of the my group prefix here and this is all under a square it then this is approximately 44.5 hertz on the next item we have to calculate what is the frequency that makes the imperials minimum Now, Lord, that in the rest item we had a ready analyzer impedance and concluded that wending attendance is minimal. The current is the maximum and we have further calculated that if the resonant frequency is the one that makes the emptiness minimum, as we had already think when doing the last item and therefore the frequency that minimizes the impudence is the resonant frequency, as we had just seen in the last item. Then the frequency that makes the impudence minimal is approximately 44.5 hertz, which is the resonant frequency That's so great.

View More Answers From This Book

Find Another Textbook

In physics, a charge is a physical property of matter that causes it to expe…

The electric force is a physical force exerted by electrically charged parti…

A $10.0-\Omega$ resistor, a $12.0-\mu \mathrm{F}$ capacitor, and a $17.0-\ma…

$\bullet$ A 125$\Omega$ resistor, an 8.50$\mu \mathrm{F}$ capacitor, and an …

A 1.15 -k\Omega resistor and a $505-\mathrm{mH}$ inductor are connected in s…

A 30.0 -mH inductor has a reactance of 2.10 $\mathrm{k} \Omega .$ (a) What i…

A A 100.0$\Omega$ resistor, a 0.100$\mu \mathrm{F}$ capacitor, and a 300.0 $…

A $300.0-\Omega$ resistor and a 2.5 - $\mu$ F capacitor are connected in ser…

An ac circuit contains a $12.5-\Omega$ resistor, a $5.00-\mu \mathrm{F}$ cap…

A $400-\Omega$ resistor, an inductor, and a capacitor are in series with an …

(a) What is the reactance of a $10.0-\mathrm{mH}$ inductor at the frequency …

A resistor with $R = 300\space \Omega$ and an inductor are connected in seri…

03:40

Predict/Calculate The three laser beams shown in FlGURE $26-73$ meet at a po…

02:56

A flashlight emits 2.9 $\mathrm{W}$ of light energy. Assuming a frequency

08:12

Predict/Calculate An $\alpha$ particle with a kinetic energy of 0.85 MeV app…

01:11

The characteristic time of an $R L$ circuit with $L=25 \mathrm{mH}$ is twice…

03:49

A compound microscope uses a $75.0-\mathrm{mm}$ lens as the objectiveand…

01:15

A step-up transformer has 30 turns on the primary coil and 750 turns on the …

02:04

Early cameras were little more than a box with a pinhole onthe side oppo…

03:46

As measured in Earth's frame of reference, the Earth and the Moon are …

Consider the circuit shown in Figure 24-34. The ac generator in this circuit…

01:52

Find the focal length of contact lenses that would allow a farsighted person…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.