# Electric and magnetic field relationship

• erisedk
In summary, the conversation discusses the validity of a set of electric and magnetic fields, where one field has a (kz-wt) term and the other has a (kz+wt) term. It is stated that both fields should have the same term and the cross product of the fields should not depend on time, according to Maxwell's equations. It is concluded that if any of Maxwell's equations are violated, the fields are invalid.
erisedk

## Homework Statement

Why is the following set of electric and magnetic fields invalid?
##E(x, y, z, t)= E_0 \sin{(kz-wt)} \hat{i}##

##B(x, y, z, t) = B_0 \sin{(kz+wt)} \hat{j}##

## The Attempt at a Solution

So, I understand that either both should have (kz-wt) or both should have (kz+wt). Either than the fact that the cross product of electric and magnetic fields is a scalar times a vectors that does not depend on time, whereas here the cross product gives me something like a standing wave in the z direction, I'm not sure why both should have (kz-wt) or both should have (kz+wt). Please help.

Have you studied Maxwell's equations?

Yes

If you can show that anyone of Maxwell's equations is violated at some point of space at some instant of time, then the fields are invalid.

cnh1995
Thank you! Got it.

## What is the relationship between electric and magnetic fields?

The relationship between electric and magnetic fields is known as electromagnetism. This means that an electric field can produce a magnetic field, and a changing magnetic field can create an electric field.

## How are electric and magnetic fields measured?

Electric and magnetic fields are measured using different units. Electric fields are measured in volts per meter (V/m) while magnetic fields are measured in teslas (T) or gauss (G). These measurements can be taken using specialized equipment such as field meters or probes.

## Can electric and magnetic fields be shielded or blocked?

Yes, electric and magnetic fields can be shielded or blocked by certain materials. Electric fields can be blocked by insulating materials such as rubber or plastic. Magnetic fields can be blocked by ferromagnetic materials such as iron or steel. However, no material can completely eliminate these fields.

## What are some sources of electric and magnetic fields?

Electric and magnetic fields can be generated by a variety of sources. Some common sources include power lines, electronic devices, and electrical appliances. Natural sources such as lightning and the Earth's magnetic field also produce these fields.

## Are electric and magnetic fields harmful to humans?

There is ongoing research and debate about the potential health effects of exposure to electric and magnetic fields. Some studies have suggested a link between prolonged exposure to these fields and certain health conditions, while others have not found significant evidence. It is important to follow safety guidelines and limit exposure to these fields as a precautionary measure.

Replies
7
Views
1K
Replies
3
Views
2K
Replies
4
Views
2K
Replies
3
Views
2K
Replies
3
Views
1K
Replies
2
Views
2K
Replies
2
Views
4K
Replies
4
Views
2K
Replies
8
Views
407
Replies
5
Views
1K