Download the App!

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

$\bullet$ (a) Compute the reactance of a 0.450 $\mathrm{H}$ inductor at frequencies of 60.0 $\mathrm{Hz}$ and 600 $\mathrm{Hz}$ . (b) Compute the reactance of a 2.50$\mu \mathrm{F}$ capacitor at the same frequencies. (c) At what frequency is the reactance of a 0.450 $\mathrm{H}$ inductor equal to that of a 2.50$\mu \mathrm{F}$ capacitor?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

a) 169.64$\Omega$b) $1.061 \times 10^{3} \Omega$$=\sqrt{150 \mathrm{H} z}$

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

University of Sheffield

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.

04:05

(a) Compute the reactance …

05:37

31.8. (a) Compute the reac…

01:54

(a) Find the frequency at …

02:30

(a) What is the reactance …

03:46

02:44

What is the reactance of a…

01:49

Calculate the reactance of…

02:12

01:25

Consider an $L C$ circuit …

06:39

Find the reactances of the…

01:02

Find the capacitive reacta…

to solve this problem, we're going to need formulas for the reactant of in doctors and capacitors. So the reactant oven in Doctor I was labeled by this and it's equal to the angler frequency times the inductive, which is equal to two pi times the frequency times the inductive. And now the reactant ce of a capacitor is labeled by this. It's equal to one over the angler frequency times the capacitance, which is equal to one over to pious Johnson fastens. So now that we have this, we can start selling the problem. So for part, a 60 hertz frequency, the reactant ce of this in Dr is equal to two pie, and we just plug in our 60 here. And then we're giving the induction ce sickle 2.45 Henry's And so solvents out gives us 170 homes. That's the reactant of this conductor At 60 years now, since excel here, the reactions of the induct er is proportional to the frequency. All right, based on this, forming here is proportional to frequency. If we multiply the frequency by 10 then the reactant also gets multiplied by 10. And so it's 600 hertz. The reactant is just gonna be this value times 10. So it's 1,700 homes, and that completes a for part B. We're just going to use this other formula here for the reactions of the pastor. So it's 60 hertz the reactant. So the pastor is equal to one over two pi times frequency times the crescents, which is 2.5 times 10 to the minus six parrots. Remember affair. It is a huge unit, and so passed. The tents usually is very small in terms of it. Solving this case is 1.6 times 10 cubed holmes. Now, looking at this formula, the reactant CE of the capacitor is proportional to one over the frequency. And so if we multiply the frequency by 10 the reactant CE gets divided by 10. And so for 600 hertz, the reactant CE will be 106 homes. Because that's this value divided by 10 for Parsi. We want to set the react Ince's equal to each other like so this implies. Based on these formulas, the two pi F L is equal to one over to pine F C solving for F in terms of the others gives F is equal to one over to pie square root of Elsie, and employing in these values gives 150 hurts. So this is the value, the frequency where the react Ince's are the same and that completes the problem.

View More Answers From This Book

Find Another Textbook

Numerade Educator

Two points are located on rigid wheel that is rotating with constant angular…

02:29

Two electrical line poles are situated 50.0 m apart one directly north of th…

01:01

Problem 19.36Par AWhat maximum power can be radiated by 12 cm -diame…

04:00

The rhinestones in costume jewelry are glass with index of refraction 1.50. …

05:23

#5 ~ A 100 g block attached to spring with spring constant 2.5 Nlm oscillate…

04:18

A bus travels 280 km south along straight path with an average velocity of 8…

07:22

The starship commander; Captain Confusion, asks for the following informatio…

03:42

CR 3 It is cool, sunny day = that have gone camping trip: s0 You 1. Imagine …

02:52

dancer moves one dimension back and forth across the stage. If the end of th…

04:25

glider aircraft initially traveling due west at 76 km/h encounters sudden gu…