Stress tensor Definition and 104 Threads

  1. Q

    Why is the Stress Tensor Symmetrical?

    Can someone explain to me why the stress tensor is symmetrical. I understand that Sij=Sji , but can someone give me the assumption or the physical reason why this is true. Thanks.
  2. D

    Understanding the Force on a Charged Hemisphere Using the Stress Tensor

    I'm having some trouble with an example in griffiths book about using the stress tensor. The problem is to find the force on the northern hemisphere of a uniformly charged solid sphere by the southern hemisphere. Charge Q, radius R. I understand that we will only need the zx, zy, and zz...
  3. M

    How Does Maxwell's Stress Tensor Apply to an Infinite Parallel Plate Capacitor?

    Consider an infinite parallel plate capacitor with the lower plate (at z=-d/2) carrying the charge density- \sigma and the upper plate (at z=d/2) carrying the charge density \sigma. Determine all nine elements of the stress tensor in the region between the plates. Display your answer as a...
  4. M

    Deriving the Maxwell Stress Tensor for a Spherical Charge Distribution

    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...
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