Do Electric Fields Always Create Magnetic Fields?

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Hello, if I put two plates one in front of the other and apply a voltage I read that an electric field creates, but shouldn't also exist a magnetic field since there are moving charges ?

thanks
 
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I assume you apply a constant DC voltage. During the short period of time in which the plates are "charging up", there is a magnetic field. After the plates become fully charged and are in a steady state, there is no magnetic field.
 
if you will apply AC then ,of course the electric field is time varying.which according to maxwell eqn will generate a magnetic field.
 
andrien said:
if you will apply AC then ,of course the electric field is time varying.which according to maxwell eqn will generate a magnetic field.
or electromagnetic ?