In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 25 A (amperes), the resistance is 6 ohms. What is the resistance when the current is 10 A ?

When the current is 25 A and the resistance is 6 ohms, we can use Ohm's Law (I = V/R) to establish a relationship. The product of current and resistance remains constant (I1 * R1 = I2 * R2). Thus, 25 A * 6 ohms = 150 ohm·A. For a current of 10 A, we set up the equation: 10 A * R2 = 150 ohm·A. Solving for R2 gives R2 = 150 ohm·A / 10 A = 15 ohms. So, when the current is 10 A, the resistance is 15 ohms! This relationship beautifully demonstrates how varying one component of a circuit influences another, showcasing the dynamic dance of electricity! 🎉🔌 If you find yourself troubleshooting, remember that ensuring all connections are tight and verifying your equipment's ratings can save you from unexpected surprises. Common pitfalls include overlooking the fact that increasing resistance affects current flow and could lead to performance issues especially in sensitive circuits. Conduct regular checks and keep that current flowing smoothly! 🔧⚡