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What would be the effect of increasing voltage through a resistor?
'Voltage' is not a quantity that goes 'through' anything. It's the difference of electrical potential between two points, so we usually talk about the voltage 'across' a resistor, or between its ends.
The electrical 'current' through a resistor is directly proportional to the voltage between its ends. So, if the voltage across the resistor is increased by some factor, the current through it increases by the same factor.
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