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?
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.