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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 ?

     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?

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By Ohm's law, 

               V=IR

            I=\frac{V}{R}

V=  potential difference

I =current

R = resistance

Now, the potential difference is reduced to half i.e.  

                                                                               V'=\frac{V}{2}

R' = R=resistance

I' =current

I'=\frac{\frac{V}{2}}{R}=\frac{V}{2R}=\frac{I}{2}

Current flowing is reduced to half.

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