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
100
ohms. What is the resistance when the current is
25 A
?

1 answer

We can use the inverse variation formula:

current x resistance = constant

Let's call the constant k:

2 x 100 = k

k = 200

Now, we can use the same formula and the value of k to solve for the new resistance:

25 x resistance = 200

resistance = 8 ohms

Therefore, when the current is 25 A, the resistance is 8 ohms.