In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is
14 A
(amperes), the resistance is
15
ohms. What is the current when the resistance is
42
ohms?
A
4.67 A
To solve this problem, we can use the inverse variation formula:
Current = k/Resistance
where k is a constant.
Given that when the current is 14 A, the resistance is 15 ohms, we can substitute these values into the formula to find the value of k:
14 = k/15
To find k, we can cross-multiply:
14 * 15 = k
k = 210
Now that we have the value of k, we can use it to find the current when the resistance is 42 ohms:
Current = k/Resistance
Current = 210/42
Current = 5 A
Therefore, when the resistance is 42 ohms, the current passing through the conductor is 5 A.