Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: Q7E (page 842)

The current in a wire varies with time according to the relationship

I=55A-(0.65As2)t2. (a) How many coulombs of charge pass a cross section of the wire in

the time interval between t=0and role="math" localid="1655721302619" t=8.0s? (b) What constant current would transport the

same charge in the same time interval?

Short Answer

Expert verified

a) The charge passing through the wire between 0-8 seconds is 329 C

b) The constant current that would transport this charge is 41.0A

Step by step solution

01

Write the formula of current.

Consider the formula for the current:

I=Qt

Here, Q is the charge and t is the time.

02

Calculation of charge passing between 0-8 seconds.

(a)

Consider the relation for the time and the current is:

I=55A-0.65As2t2

Apply the formula for the current to determine the charge.

△Q=55-0.65t2dtQ=∫0855-0.65t2dtQ=55t-130.65t308Q=440-111

Solve further as,

Q=329C

03

Calculation of the constant current in the wire.

(b)

Solve for the current in the wire.

I=QtI=330C8sI=41.0A

Therefore, the value of the current is 41.0 A .

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Consider the circuit of Fig. E25.30. (a)What is the total rate at which electrical energy is dissipated in the 5.0-Ω and 9.0-Ω resistors? (b) What is the power output of the 16.0-V battery? (c) At what rate is electrical energy being converted to other forms in the 8.0-V battery? (d) Show that the power output of the 16.0-V battery equals the overall rate of consumption of electrical energy in the rest of the circuit.

Fig. E25.30.

The heating element of an electric dryer is rated at 4.1 kW when connected to a 240-V line. (a) What is the current in the heating element? Is 12-gauge wire large enough to supply this current? (b) What is the resistance of the dryer’s heating element at its operating temperature? (c) At 11 cents per kWh, how much does it cost per hour to operate the dryer?

Each of the lettered points at the corners of the cube in Fig. Q27.12 represents a positive charge qmoving with a velocity of magnitude vin the direction indicated. The region in the figure is in a uniform magnetic field , parallel to the x-axis and directed toward the right. Which charges experience a force due to B⇀? What is the direction of the force on each charge?

Ordinary household electric lines in North America usually operate at 120 V . Why is this a desirable voltage, rather than a value considerably larger or smaller? On the other hand, automobiles usually have 12 V electrical systems. Why is this a desirable voltage?

Batteries are always labeled with their emf; for instances an AA flashlight battery is labelled “ 1.5 V ”. Would it also be appropriate to put a label on batteries starting how much current they provide? Why or why not?
See all solutions

Recommended explanations on Physics Textbooks

Oscillations

Read Explanation

Force

Read Explanation

Physical Quantities And Units

Read Explanation

Measurements

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Energy Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free