Question

Let the resistance of an electrical component remain 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

Initially R=V/I, Now R=(V/2)/? to make R value unaltered the current value must be equal to I/2 thereby R remains unchanged

Answer 2

Answer:

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

Therefore, the amount of current flowing through the electrical component is reduced by half.

Related concept:-

Ohm's law [V= RI] :-Ohm's law states the relationship between voltage, current and resistance. According to this law, the amount of electricity passing through a conductor between two points in a circuit is directly proportional to the voltage across the two points, for a particular temperature.