Divergence Theorem-Electromagnetism

[sclatters]

Homework Statement

Homework Equations

The divergence theorem is quoted on the problem sheet.

The Attempt at a Solution

I am struggling with the last question (2)c)). I have tried to put the continuity equation into the divergence theorem and have got:

∫_S J.ds=-d/dt∫_V ρdV

But I'm not sure if I can just sub it in in this way. Do I then need to set up an intergral to get the final solution? I am not really sure what form the answer will be in.

Thanks.

 

[TSny]

I am struggling with the last question (2)c)). I have tried to put the continuity equation into the divergence theorem and have got:

∫_S J.ds=-d/dt∫_V ρdV

But I'm not sure if I can just sub it in in this way. Do I then need to set up an intergral to get the final solution? I am not really sure what form the answer will be in.

Hello, sclatters. I'm not sure what you mean when you say "I'm not sure if I can just sub it in in this way."

But, it looks to me that you have the result! No further calculation should be necessary. You just need to interpret the meaning of the left and right sides of the equation.