In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 3 A (amperes), the resistance is 40 ohms. What is the current when the resistance is 12 ohms?

Answer 1

To solve this problem, we can use the formula for inversely varying quantities:

Current1 * Resistance1 = Current2 * Resistance2

Substitute the given values into the formula:

3 A * 40 ohms = Current2 * 12 ohms

120 = Current2 * 12

Current2 = 120/12

Current2 = 10 A

Therefore, when the resistance is 12 ohms, the current passing through the conductor is 10 A.