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Mr Ohm discovered that if you double the voltage across the resistor then the current through it doubles. If you halve the voltage then the current is halved. This means that the current is PROPORTIONAL to the voltage.
He also found that if you double the value of the resistor then the current through it is halved. If the value of the resistor is halved the the current is doubled. Thus the current is INVERSELY PROPORTIONAL to the resistance.
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