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Has it been observed that charged high capacitance capacitors do generate a strong positive electrostatic charge on their exterior insulating surfaces?

Has it been observed that charged high capacitance capacitors attract exterior negative electrostatic charges to their exterior insulated surfaces?

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One of the points of a capacitor is that it minimizes the electric field outside of the capacitor while storing charge. – Jerry Schirmer Jul 17 '13 at 17:43
    
This effect could be happening at the edges of the capacitor plates where the field doesn't cancel out. – udiboy1209 Jul 17 '13 at 17:49

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