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Engineering Physics · Q23

Mathematical Physics

Engineering and GATE · Engineering Physics · question 23

Q23

Can the following scalar and vector potentials describe an electromagnetic field? \[ ( x ,\,t ) = 3xyz - 4t\] \[ A ( x ,\,t ) = ( 2x - t ) i + ( y - 2z ) j + ( z - 2e^i t ) k\] where, ω is a constant.

Can the following scalar and vector potentials describe an electromagnetic field?

where, ω is a constant.
A.
Yes, in the Coulomb gauge
B.
Yes, in the Lorentz gauge
C.
Yes, provided ω = 0
D.
No
Answer

Answer: Option D

Solution

Answer: Option D
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