Q. 6 What is the magnetic field at th... [FREE SOLUTION]

Chapter 29: Q. 6 (page 830)

What is the magnetic field at the position of the dot in FIGURE. Give your answer as a vector.

Short Answer

Expert verified

The Magnetic field, $\overset{鈫�}{B} = 1.13 脳 10^{- 15} T \hat{k}$

Step by step solution

Introduction

The source of a field is the moving charge. The Biot-Savart law is used to calculate the flow at a given degree. Because of radial and route length directions are always at right angles, the vector is doubled. Equation gives the magnetic flux due to the moving charge.

${\overset{鈫�}{B}}_{point charge} = \frac{渭_{o}}{4 蟺} \frac{q v \sin 胃}{r^{2}}$

Using Pythagorean Theorem

The distance $r$ between the proton and therefore the dot point by

$r = \sqrt{(1)^{2} + (1)^{2}} = \sqrt{2} cm$

The angle between the proton direction and therefore the real number is calculated by

$胃 = \tan^{- 1} \frac{1 cm}{1 cm} = 45 掳$

Using the right-hand rule, locate the force field.

the value for $胃, q, v$ and $r$ into equation to urge $\overset{鈫�}{B}$ by

$\overset{鈫�}{B} = \frac{渭_{o}}{4 蟺} \frac{q v \sin 胃}{r^{2}}$

$= (\frac{4 蟺脳 10^{- 7} T 路 m / A}{4 蟺}) (\frac{(1.6 脳 10^{- 19} C) (2 脳 10^{7} m / s) \sin 45 掳}{{(\sqrt{2} 脳 10^{- 2} m)}^{2}})$

$= 1.13 脳 10^{- 15} T$ $\hat{k}$

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

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

What is the magnetic field at the position of the dot in FIGURE. Give your answer as a vector.

Short Answer

Step by step solution

Introduction

Using Pythagorean Theorem

Using the right-hand rule, locate the force field.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electromagnetism

Force

Magnetism and Electromagnetic Induction

Turning Points in Physics

Solid State Physics

Electric Charge Field and Potential

Study anywhere. Anytime. Across all devices.