(a) Electromagnetic Filed Tensor FHrin array form is E-/c E,/c_E/c -Ez/c -Ey/c -B. В, B. —Е,/с — В, -В, B. (i) In terms of 4-vector potential, the field tensor can also be written as (ii) with A" = (V/c, A,, Ay, A_). Show that we can find all the entries of Eq. (i) using Eq. (ii). (b) Comment on the symmetric/antisymmetric nature of Eq. (i) (do not supply mathematics here, just write in words).
(a) Electromagnetic Filed Tensor FHrin array form is E-/c E,/c_E/c -Ez/c -Ey/c -B. В, B. —Е,/с — В, -В, B. (i) In terms of 4-vector potential, the field tensor can also be written as (ii) with A" = (V/c, A,, Ay, A_). Show that we can find all the entries of Eq. (i) using Eq. (ii). (b) Comment on the symmetric/antisymmetric nature of Eq. (i) (do not supply mathematics here, just write in words).
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Transcribed Image Text:(a) Electromagnetic Filed Tensor FHvin array form is
-Ez/c
- Ey/c -B;
E/c E,/c E-/c
By
Bz
F
(i)
—Е./с — В, -В,
In terms of 4-vector potential, the field tensor can also be written as
(ii)
dx,'
with A" = (V/c, A,, A, A-). Show that we can find all the entries of Eq. (i) using Eq. (ii).
(b) Comment on the symmetric/antisymmetric nature of Eq. (i) (do not supply mathematics here, just write in
words).
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