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

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

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

$= 1.13 脳 10^{- 15} T$ $\hat{k}$

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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.

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