Jase Rocha
2022-09-21
Answered

If magnetic monopoles existed, how would the Gauss’s law of magnetism be modified?

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Miya Swanson

Answered 2022-09-22
Author has **11** answers

If magnetism monopoles existed, then the Gauss`s law of magnetism can be modified as:

Divergence of B will be proportional to the magnetic charge density.

Mathematically Gauss`s law of magnetism can be witten as

$\mathrm{\nabla}.B={\mu}_{0}{\rho}_{m}$

Divergence of B will be proportional to the magnetic charge density.

Mathematically Gauss`s law of magnetism can be witten as

$\mathrm{\nabla}.B={\mu}_{0}{\rho}_{m}$

asked 2021-01-19

In a truck-loading station at a post office, a small 0.200-kg package is released from rest a point A on a track that is one quarter of a circle with radius 1.60 m.The size of the packageis much less than 1.60m, so the package can be treated at aparticle. It slides down the track and reaches point B with a speed of 4.80 m/s. From point B, it slides on a level surface a distanceof 3.00 m to point C, where is comes to rest.

(a) What is the coefficient of kinetic friction on the horizontal surface?

(b) How much work is done on the package by friction as it slides down the circular arc from A to B?

asked 2021-02-15

(a) How far from a 50.0-mm-focal-length lens must an object be placed if its image is to be magnified 2.00 X and be real?

(b) What if the image is to be virtual and magnified 2.00 X?

asked 2021-01-13

A radar station, located at the origin of xz plane, as shown in the figure , detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is $\overrightarrow{{R}_{A}}$. The position vector $\overrightarrow{{R}_{A}}$ has a magnitude of $360}^{m$ and is located at exactly $40}^{\circ$ above the horizon. The airplane is tracked for another $123}^{\circ$} in the vertical east-west plane for $5.0}^{s$, until it has passed directly over the station and reached point B. The position of point B relative to the origin is $\overrightarrow{{R}_{B}}$ (the magnitude of $\overrightarrow{{R}_{B}}$ is $880}^{m$). The contact points are shown in the diagram, where the x axis represents the ground and the positive z direction is upward.

Define the displacement of the airplane while the radar was tracking it: ${\overrightarrow{R}}_{BA}={\overrightarrow{R}}_{B}-{\overrightarrow{R}}_{A}$. What are the components of ${\overrightarrow{R}}_{BA}$

Express ${\overrightarrow{R}}_{BA}$ in meters as an ordered pair, separating the x and z components with a comma, to two significant figures.

asked 2021-02-06

Starting with an initial speed of 5.00 m/s at a height of 0.300 m, a 1.50 kg ball swings downward and strikes a 4.60kg ballthat is at rest, as the drawing shows. a. using the principle of conservation of mechanicalenergy,find the speed of the 1.50 kg ball just before impact b. assuming that the collision is elastic, find the velocities( magnitude and direction ) of both balls just after thecollision c. how high does each abll swing after the collision, ignoringair resistance?

asked 2022-05-13

Gauss's Law of Magnetism shows us that the divergence of Magnetic field is 0, $\u25bd\cdot \overrightarrow{B}=0$

Then how do you derive that statement by showing the divergence of a magnetic field upon an axis of a current carrying coil where radius is much smaller that distance so that we can use,

${B}_{z}=\frac{{\mu}_{o}I}{2{z}^{3}}\hat{z}$

$\therefore $

$\u25bd\cdot B\equiv \frac{\mathrm{\partial}}{\mathrm{\partial}z}\cdot \frac{{u}_{o}I}{2{z}^{3}}\hat{z}\ne 0$

This doesn't equal zero? What am I missing?

Then how do you derive that statement by showing the divergence of a magnetic field upon an axis of a current carrying coil where radius is much smaller that distance so that we can use,

${B}_{z}=\frac{{\mu}_{o}I}{2{z}^{3}}\hat{z}$

$\therefore $

$\u25bd\cdot B\equiv \frac{\mathrm{\partial}}{\mathrm{\partial}z}\cdot \frac{{u}_{o}I}{2{z}^{3}}\hat{z}\ne 0$

This doesn't equal zero? What am I missing?

asked 2022-04-12

Consider a region where a 35-volt-per-meter electric field and a 20-millitesla magnetic field both exists and are perpendicular to each other. If a proton is moving at a speed of 2 km/s and the magnitude of the force it experiences is $8\times {10}^{-18}$ newtons, determine the direction of the movement of the proton relative to the direction lying on the same plane. the magnetic field. Assume the electric field, magnetic field, and the velocity vector are all

a.) 47.13 degrees with respect to the magnetic field;

b.) 63.21 degrees with respect to the magnetic field;

c.) 87.20 degrees with respect to the magnetic field;

d.) 21.90 degrees with respect to the magnetic field;

a.) 47.13 degrees with respect to the magnetic field;

b.) 63.21 degrees with respect to the magnetic field;

c.) 87.20 degrees with respect to the magnetic field;

d.) 21.90 degrees with respect to the magnetic field;

asked 2020-10-20

A conducting sphere of radius 0.01m has a charge of $1.0\times {10}^{-9}C$ deposited on it. The magnitude of the electric field in N/C justoutside the surface of the sphere is:

a. 0

b. 450

c. 900

d. 4500

e. 90000