Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$\cdot$ An ac series $R-L-C$ circuit contains a 120$\Omega$ resistor, a2.0$\mu \mathrm{F}$ capacitor, and a 5.0 $\mathrm{mH}$ inductor. Find (a) the reso-nance angular frequency and (b) the length of time that eachcycle lasts at the resonance angular frequency.

a) $10^{4} \mathrm{rad} / \mathrm{s}$b) $6.28 \times 10^{-4} \mathrm{rad} / \mathrm{s}$

Physics 102 Electricity and Magnetism

Chapter 22

Alternating Current

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

University of Winnipeg

Lectures

04:44

Alternating current (AC) is an electric current which periodically reverses direction, in contrast to direct current (DC) which flows only in one direction. Alternating current is the form in which electric power is delivered to businesses and residences, and it is the form of electrical energy that consumers typically use when they plug electrical appliances into a wall socket. A common source of DC power is a battery cell in a flashlight. The abbreviations AC and DC are often used to mean simply alternating and direct, as when they modify current or voltage.

11:31

In electrical engineering, a direct current (DC) circuit is an electrical circuit operating with a constant voltage (or current), as opposed to alternating current (AC) circuits. Direct current may flow in a conductor such as a wire, but can also flow through semiconductors, insulators, or even through a vacuum as in electron or ion beams.

02:57

An ac series $R-L-C$ circu…

06:38

A series circuit consists …

02:32

05:14

02:13

01:37

$\cdot$ You need to make a…

06:47

31.35. A series circuit co…

08:36

04:01

You need to make a series …

04:25

A series circuit containin…

01:42

A series circuit contains …

02:37

In an $L-R-C$ series circu…

03:50

so the resistance of the resistor is 120 homes. We have the capacitance of the capacitor of 2.0 times 10 to the negative six carats or two points there on my Crawford's. And we have the induct INTs of the induct ir al. This would be equaling 25 million Henry's or 5.0 times 10 to the negative Third, Henry's four part A. We want to find the residence angular frequency so we can see that the residents angular frequency would be equaling one over the square root of the induct INTs multiplied by the capacitance. This is equaling one over the square root of 5.0 times, 10 to the negative. Third Henry's multiplied by 2.0 times 10 to the negative sixth parents, and we find that the resident's frequency residents angular frequency rather is equaling 10 to the fourth radiance per second. The time for each cycle, then can be found for Part B, where the resident's frequency is equaling one over square root of the That's where the one over the square root of the induct, its multiplied by the capacitance. And this is going to be equaling to two pi multiplied by the resident's frequency. We know this equaling to two pi over t the time for each cycle and so we can say that tea is going to be equaling two pi multiplied by the square root of the induct in CE multiplied by the capacitance. So this would be equal to pi multiplied by the square root uh, 5.0 times 10 to the negative third, Henry's multiplied by two points around times 10 to the negative sixth ferrets and we find that t the time for one cycle or essentially, the period would be 6.28 times 10 toothy, negative fourth seconds. This would be our final answer. That is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

01:57

A typical adult human lung contains about 300 million tinycavitics calle…

09:34

You walk into an elevator, step onto a scale, and push the "up" bu…

08:47

$\bullet$$\bullet$ A cylinder 1.00 $\mathrm{m}$ tall with inside diameter 0.…

01:13

(II) What is the conversion between $(a)$ ft $^{2}$ and $y d^{2},(b) m^{2}$ …

02:08

$\bullet$ $\bullet$ Human hair. According to one set of measurements, the te…

A chair of mass 12.0 $\mathrm{kg}$ is sitting on the horizontal floor; the f…

02:24

$\bullet$ In Figure $11.33,$ suppose theobject is a square steel plate, …

An experimental bicycle wheel is placed on a test stand so that it is free t…

06:12

$\bullet$ A thin, light wire 75.0 $\mathrm{cm}$ long having a circular cross…

03:34

While exploring a castle, Exena the Exterminator is spotted by a dragon who …