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Let the resistance of an electrical component remains constant while the potential difference across the two ends of the component decreases to half of its former value. What change will occur in the current through it?
According to Ohm's law, at a , the steady current '\(I\)' flowing through a conductor is proportional to the potential difference '\(V\)' between the two ends of the conductor.
Mathematically, it is written as
If the potential difference is reduced to half by keeping the resistance constant, then the new voltage will be
The new resistance will be \(R'\) \(=\ R\) and the new amount of current be \(I'\). Then,
The change in the current flowing through the electrical component is determined by . Hence, the current flowing the electrical component is .