- #1
mark9696
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Consider a spherical volume of radius R filled with a uniform electric charge density p(rowe)
a) Use Gauss' law to calculate the electric field E in the interior of the spherical charge
b) Use the expression for the electric field to derive an expression for the Maxwell stress tensor expressed in Cartesian coordinates for the interior of the spherical charge distribution.
HINT: The Maxwell stress tensor is a stress tensor that fills the interior of the spherical region. To obtain the stress tensor expressed in Cartesian coordinates at any point in the interior of the sphere, project the electric field E onto the Cartesian basis vectors and then use the definition of the Maxwell tensor in Cartesian coordinates.
Now, if someone could outline the steps it would great because we have just derived the stress tensor(Maxwell) in class and this is my first application of it.
a) Use Gauss' law to calculate the electric field E in the interior of the spherical charge
b) Use the expression for the electric field to derive an expression for the Maxwell stress tensor expressed in Cartesian coordinates for the interior of the spherical charge distribution.
HINT: The Maxwell stress tensor is a stress tensor that fills the interior of the spherical region. To obtain the stress tensor expressed in Cartesian coordinates at any point in the interior of the sphere, project the electric field E onto the Cartesian basis vectors and then use the definition of the Maxwell tensor in Cartesian coordinates.
Now, if someone could outline the steps it would great because we have just derived the stress tensor(Maxwell) in class and this is my first application of it.
