Why will there not be an induced current in a field parallel to a current carrying wire?
Will you please post the reference, textbook, paper, or whatever that is the source of your question?
Current cannot be induced in a field. Current needs some conductor like copper or ionized gas in order to flow.
Here on Physics Forums we are not supposed to bump our posts.
those pics are not referring to current induced into a field
and as bobby said ... it cannot be, so what really is your question ?
If no field lines cross (i.e., cut through) the enclosed area, there is no changing field. If there is no changing field, no voltage is being induced.
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