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Let the resistance of an electrical comp...

Let the resistance of an electrical component remain constant while the potential difference across the two ends of the component decreases to half its former value. What change will occur in the current through it ?

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Accoridng to Ohm's law
V=IR
`rArrV/R` (i)
Now Potential difference is decreased to half
`therefore` New potential difference V'=V/2
Resistance remains constant
So the new current I'= V'/R
`(V//2)//R`
`=(1//2)(V//R)`
`=(1//2)I=1//2`
Therefore, the amount of current flowing through the electrical component is reduced by half.
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