Question

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

Answer 1

We know that. V=I R
i.e. V is directly proportional to the current
If we keep the resistance of the conductor constant andvthe potential difference across the two ends of the component decreases to half of its former value the current also decreases by half of it's former value....
Let us consider an example for your understanding
consider a resistance of conductor is 1 ohm and p.d. is 1/2 volt
V=IR
I= V/R
I=1/2/1
I= 1/2 AMPERE

Answer 2

It is given that resistance R of the electrical component remains constant but the potential difference across the two ends of the component decreases to half of its value that is

V'=V/2

hence as per the ohm's law,

new current I' = V'/R = V/2/R = V/2.R = I/2

Hope this helps you.....

:)