Question

Student builds a simple circuit with a single resistor with resistance R and measures an electric potential difference ΔV across the resistor. Then, the student replaces the resistor with a new one of resistance 2R and keeps the electric potential difference the same. What is the current (I2) through the new circuit in terms of the original current​(I1)?              6mks

​

Answer 1

i₂ = ½ i₁

Step-by-step explanation:

Let's write ohm's law for the first statement

V = i₁ R

i₁ = V / R

tells us that we change the resistance to R '= 2R

let's write ohm's law

V = i₂ R’

indicates that V remains constant

i₂ = V / R '

i₂ = V / 2R

i₂ = ½ V/R

we substitute

i₂ = ½ i₁