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If it's an alternating voltage then the shielding is frequency dependent ...
If the electrolyte is conductive, won't that mess things up a bit?
If you had a whip-aerial which was but a small fraction of the resonant quarter-wave in length, you won't get much current (and thus magnetic component) - just a local non-radiative E-field. Surely you could 'shield' this using the same calculations as you would for a static DC field?