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

An rms voltage of 22.2 V with a frequencyof 1.00 kHz is applied to a 0.290-mH inductor. (a) What is the rmscurrent in this circuit? (b) By what factor does the current changeif the frequency of the voltage is doubled? (c) Calculate the current for a frequency of 2.00 kHz.

a) 12.2 $\mathrm{A}$b) 0.500c) 6.09 $\mathrm{A}$

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 Sheffield

University of Winnipeg

Lectures

11:53

In physics, a charge is a …

10:30

The electric force is a ph…

03:07

An rms voltage of 20.5 V w…

04:35

The rms current in an $R L…

01:49

A 30.0 -mH inductor has a …

01:56

An $80.0-\Omega$ resistor,…

06:15

An RLC series circuit has …

04:38

A series $R L C$ circuit i…

01:23

An inductor has a peak cur…

03:29

A circuit consists of a $2…

02:01

(a) What is the reactance …

02:34

An AC source has an output…

in the first item, we have to cock a little r m s current that flows from the circuit. And to do that, we begin by using some sort off owns well, which is given by V or a mass is he goes to Why a rematch? Times impedance. Remember that thing peons off on in doctor is he goes to to pi times the frequency times they looked at us. Then the army's current through that circuit is equals two the voltage divided by two pipe times the frequency times the doctor's looking The value is giving in the problem. We have 22.2 divided by two pi times one times 10 to the third It is one kilo hurt times 0.2 29 Time stand to the minor street because it is Emilie, Harry And then all these is approximately 12 points too empty years in the second item we have to calculate by what factor does they couldn't change is if we double the frequency. So know that the relation between the current and the frequency is the following You're a mess. Is the coast v ery mass divided by two piped into the frequency times the victims. No, if we do as going to two times f, then we will have a new current I prime with Zikos too. V r E mass divided by two pi times two times f times inductive and finally dividing these new current by the previous one we get that is he goes to the voltage divided by two pi times two time the frequency times conductors divided by involved in divided by two pi times the frequency times they looked at us simply find everything we can You're left with a factor off one over to which is he goes to 0.5 in the last item we have a frequency off too kilohertz So we have multiplying the frequency by a factor of two, we have doubled the frequency. Then we can use our result from the first item and the result from the second item To get that in this case, the current we'll be 0.5 times the current in the previous case, which is 12 point to these is equal to 6.1 amperes

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…

An rms voltage of 20.5 V with a frequency of 1.00 $\mathrm{kHz}$ is applied …

The rms current in an $R L$ circuit is 0.26 A when it is connectedto an …

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

An $80.0-\Omega$ resistor, a $200-\mathrm{mH}$ inductor, and a $0.150-\mu \m…

An RLC series circuit has a 2.50$\Omega$ resistor, a 100$\mu \mathrm{H}$ ind…

A series $R L C$ circuit is driven by an alternating source at afrequenc…

An inductor has a peak current of $330 \mu$ A when the peak voltage at $45 \…

A circuit consists of a $2.00-\mathrm{kHz}$ generator and a capacitor. When …

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

An AC source has an output rms voltage of 78.0 $\mathrm{V}$ at a frequency o…

01:59

The rms voltage across a $0.010-\mu \mathrm{F}$ capacitor is 2.8 $\mathrm{V}…

04:17

A parallel-plate capacitor has plates of area $3.75 \times 10^{-4} \mathrm{m…

05:10

The maximum current in a $22-\mu \mathrm{F}$ capacitor connected to anac…

05:34

A parallel-plate capacitor has plates with an area of 405 $\mathrm{cm}^{2}$ …

01:18

A laser beam is reflected by a plane mirror. It is observed that the angle b…

04:24

CE Predict/Explain A kitchen has twin side-by-side sinks. One sink is filled…

01:37

To construct a solenoid, you wrap insulated wire uniformly around a plastic …

01:16

CE You hold a shiny tablespoon at arm's length and look at the front si…

06:41

BIO Pacemaker Pulses A pacemaker sends a pulse to a patient's heart eve…

00:57

Credit-Card Magnetic Strips Experiments carried out on the television show M…

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.