/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 23 How much work would be done by a... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 23: Problem 23

How much work would be done by an electric field in moving a proton from a point at a potential of \(+180 . \mathrm{V}\) to a point at a potential of \(-60.0 \mathrm{~V} ?\)

Short Answer

Expert verified
Question: Calculate the work done by an electric field in moving a proton from a point at a potential of +180 V to a point at a potential of -60 V. Answer: The work done by the electric field is \(3.84\times 10^{-17}\) J.

Step by step solution

01

Identify the given values

In this problem, we have the following given values: - Potential at the initial point (V1): \(+180\) V - Potential at the final point (V2): \(-60\) V - Charge of a proton (q): \(+1.6\times10^{-19}\) C
02

Calculate the potential difference

To find the potential difference, subtract the final potential (V2) from the initial potential (V1): \(\Delta V = V_1 - V_2 = (+180) - (-60) = 240\) V
03

Calculate the work done

Now use the formula \(W = q\Delta V\) to find the work done by the electric field in moving the proton: \(W = (1.6\times10^{-19}\,\text{C})(240\,\text{V}) = 3.84 \times 10^{-17}\,\text{J}\)
04

Write the final answer

The work done by the electric field in moving a proton from a point at a potential of \(+180\) V to a point at a potential of \(-60\) V is \(3.84\times 10^{-17}\) J.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

A proton, initially at rest, is accelerated through a potential difference of \(500 .\) V. What is its final velocity?

What potential difference is needed to give an alpha particle (composed of 2 protons and 2 neutrons) \(200 \mathrm{keV}\) of kinetic energy?

A Van de Graaff generator has a spherical conductor with a radius of \(25.0 \mathrm{~cm}\). It can produce a maximum electric field of \(2.00 \cdot 10^{6} \mathrm{~V} / \mathrm{m}\). What are the maximum voltage and charge that it can hold?

Two metal spheres of radii \(r_{1}=10.0 \mathrm{~cm}\) and \(r_{2}=\) \(20.0 \mathrm{~cm},\) respectively, have been positively charged so that both have a total charge of \(100, \mu C\) a) What is the ratio of their surface charge distributions? b) If the two spheres are connected by a copper wire, how much charge flows through the wire before the system reaches equilibrium?

A solid metal ball with a radius of \(3.00 \mathrm{~m}\) has a charge of \(4.00 \mathrm{mC}\). If the electric potential is zero far away from the ball, what is the electric potential at each of the following positions? a) at \(r=0 \mathrm{~m},\) the center of the ball b) at \(r=3.00 \mathrm{~m},\) on the surface of the ball c) at \(r=5.00 \mathrm{~m}\)
See all solutions

Recommended explanations on Physics Textbooks

Electric Charge Field and Potential

Read Explanation

Classical Mechanics

Read Explanation

Famous Physicists

Read Explanation

Linear Momentum

Read Explanation

Mechanics and Materials

Read Explanation

Electricity

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.