Question

let the resistance of an electrical component remains constant while the potential difference across the two ends of the component decreases to the half of its former value . what will change in the current through it.

Answer 1

According to Ohm’s law

V = IR

⇒ I=V/R ---------- (1)

Now Potential difference is decreased to half

∴ New potential difference Vʹ=V/2

Resistance remains constant

So the new current Iʹ = Vʹ/R

                                    = (V/2)/R

                                    = (1/2) (V/R)

                                    = (1/2) I = I/2

Answer 2

♤ We know that

I = V/R

If V' = V/2

I' = V'/R

= V/2R

= 1/2

Therefore , the current will also become half of its previous value.