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 Problem Statement
 Maxwell Stress Tensor
 Relevant Equations
 ##\vec F = \oint_{s} \vec T \cdot d \vec a  \epsilon \mu \frac{\partial }{\partial t} \oint_{V} \vec S d\tau ##
The elecromagnetic force can be expressed using the Maxwell Stress Tensor as:
$$\vec F = \oint_{s} \vec T \cdot d \vec a  \epsilon \mu \frac{\partial }{\partial t} \oint_{V} \vec S d\tau $$
(How can I make the double arrow for the stress tensor ##T##?)
In the static case, the second term drops out because the magnetic field is zero.
I have read (from Griffiths) that ##T## represents the force per unit area acting on the surface. But then he states:
Let's see if understand what's going on:
I'd say that the stress tensor on the triangle projected on xy plane would be : ##T_{ik}##. Is this correct?
Besides, I am seeking for understanding it. After solving an example exercise
(The exercise is not solved above of course)
But I want to focus on what he states at the end:
How can the tensor 'sniff out what is going inside'?
I don't understand why.
$$\vec F = \oint_{s} \vec T \cdot d \vec a  \epsilon \mu \frac{\partial }{\partial t} \oint_{V} \vec S d\tau $$
(How can I make the double arrow for the stress tensor ##T##?)
In the static case, the second term drops out because the magnetic field is zero.
I have read (from Griffiths) that ##T## represents the force per unit area acting on the surface. But then he states:
Let's see if understand what's going on:
I'd say that the stress tensor on the triangle projected on xy plane would be : ##T_{ik}##. Is this correct?
Besides, I am seeking for understanding it. After solving an example exercise
(The exercise is not solved above of course)
But I want to focus on what he states at the end:
How can the tensor 'sniff out what is going inside'?
I don't understand why.
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