Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 4: 46E (page 876)

Question: A 1.50-F capacitor is charging through a 12.0-Ω resistor using a 10.0-V battery. What will be the current when the capacitor has acquired14of its maximum charge? Will it berole="math" localid="1655813727379" 14of the maximum current?

Short Answer

Expert verified

Answer:

When the capacitor has acquired 14of its maximum charge then the current will be

Step by step solution

01

Relation between Resistance and capacitance

Resistance and capacitance are related in the manner that resistance affects directly the time taken to charge a capacitor. Or we can also say that as resistance increases the time taken to charge the capacitor also increases.

02

Calculating the current

We know that the current in the circuit when the capacitor is of the maximum, we can calculate the exponential term:

Q=Qmax4Q=Qmax(1-e-tRC-)e-tRC=34

We can finally calculate the current:

I=Imaxe-tRC=Imax34=VR×34=10.0V12.0Ω×34=0.625A

Therefore the current is 0.625 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

Two copper wires with different diameter are joined end to end. If a current flow in the wire combination, what happens to electrons when they move from the large diameter wire into the smaller diameter wire? Does their drift speed increase, decrease, or stay the same? If the drift speed change, what is the role the force that causes the change? Explain your reasoning.

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?

High-voltage power supplies are sometimes designed intentionally to have rather large internal resistance as a safety precaution. Why is such a power supply with a large internal resistance safer than a supply with the same voltage but lower internal resistance?

An electron moves at 1.40×106m/sthrough a regionin which there is a magnetic field of unspecified direction and magnitude 7.40×10-2T. (a) What are the largest and smallest possible magnitudes of the acceleration of the electron due to the magnetic field? (b) If the actual acceleration of the electron is one-fourth of the largest magnitude in part (a), what is the angle
between the electron velocity and the magnetic field?

Small aircraft often have 24 V electrical systems rather than the 12 V systems in automobiles, even though the electrical power requirements are roughly the same in both applications. The explanation given by aircraft designers is that a 24 V system weighs less than a 12 V system because thinner wires can be used. Explain why this is so.
See all solutions

Recommended explanations on Physics Textbooks

Famous Physicists

Read Explanation

Particle Model of Matter

Read Explanation

Modern Physics

Read Explanation

Medical Physics

Read Explanation

Electricity

Read Explanation

Turning Points in 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