Chapter 17: 3Q (page 707)

An How does the magnetic field of a moving point charge fall off with distance at a given angle: like $\frac{1}{r}$ , $\frac{1}{r^{2}}$ or $\frac{1}{r^{3}}$ ?

Short Answer

Expert verified

The magnetic field of a moving point charge fall off with distance at a given angle is $\frac{1}{r^{2}}$ .

Step by step solution

Significance of magnetic field due to a point charge

Whenever a point charge moves at a specific speed, then there would be a magnetic field set up around the point charge. The relation between the magnetic field and the distance from the point charge is an inverse one.

Determination the magnetic field of a moving point charge

The expression of magnetic field due to a point charge is expressed as,

$\begin{array}{rcl} \vec{B} & = & (\frac{μ_{0}}{4 π}) (\frac{q \times \hat{r}}{r^{2}}) \\ \propto & \frac{1}{r^{2}} \end{array}$

Here, $\vec{B}$ is the magnetic field of a moving point charge, $r$ represents the distance from the origin and $μ_{0}$ represents the vacuum permeability.

Thus, the magnetic field of a moving point charge fall off with distance at a given angle is $\frac{1}{r^{2}}$ .

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An How does the magnetic field of a moving point charge fall off with distance at a given angle: like $\frac{1}{r}$ , $\frac{1}{r^{2}}$ or $\frac{1}{r^{3}}$ ?

Short Answer

Step by step solution

Significance of magnetic field due to a point charge

Determination the magnetic field of a moving point charge

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An How does the magnetic field of a moving point charge fall off with distance at a given angle: like 1r , 1r2 or 1r3 ?

Short Answer

Step by step solution

Significance of magnetic field due to a point charge

Determination the magnetic field of a moving point charge

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Work Energy and Power

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Study anywhere. Anytime. Across all devices.

An How does the magnetic field of a moving point charge fall off with distance at a given angle: like $\frac{1}{r}$ , $\frac{1}{r^{2}}$ or $\frac{1}{r^{3}}$ ?