- #36
Nick Bruno
- 99
- 0
an example where the divergence is not zero would be an electrically charged particle.
Say you have a positivley charged atom, this serves as a source of an electric field. The field emits in all directions. put a control volume around this particle and ur divergence is larger than one because you have more coming out then going in. --> nabla dot E = q ; where E = electric field and q = electric charge.
Another example would be the end of a garden hose. When you put a control volume around the end, water is coming out and it is acting as a source. No water is entering the control volume.
Its all really dependent of what you choose your control volume to be and if there are items within the contol volume that cancel out your sources, such as a water drain or a negativley charged particle.
And yes, i think there is speculation that black holes may be magnetic monopoles. this gets into string theory and stuff, but I am not too sure about all that.
Say you have a positivley charged atom, this serves as a source of an electric field. The field emits in all directions. put a control volume around this particle and ur divergence is larger than one because you have more coming out then going in. --> nabla dot E = q ; where E = electric field and q = electric charge.
Another example would be the end of a garden hose. When you put a control volume around the end, water is coming out and it is acting as a source. No water is entering the control volume.
Its all really dependent of what you choose your control volume to be and if there are items within the contol volume that cancel out your sources, such as a water drain or a negativley charged particle.
And yes, i think there is speculation that black holes may be magnetic monopoles. this gets into string theory and stuff, but I am not too sure about all that.