Question

In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 2 A(amperes), the resistance is 125 ohms. What is the resistance when the current is 5 A ?

Answer 1

R=50Ω

Explanation:

If current and resistance are inversely proportional, the relationship can be written as
`I=k(1)/(R)`. To find the value of k, rewrite the equation to solve for k:

`k=IR\\I=2A\\R=125\Omega\\k=(2A)(125\Omega)\\k=250`

To find resistance when the current is 5A, rewrite the equation to solve for R:

`R=(k)/(I)\\R=(250)/(5)\\R=50`

This answer is logical because:

`I_2=2.5I_1`

And because the relationship is inverse, we should expect:

`R_2=(R_1)/(2.5)`