🔍 Key Concepts

• Formula for inductive reactance in an AC circuit • Unit conversions between hertz (Hz) and radians per second if you choose to use angular frequency • How frequency and inductance each affect reactance (directly or inversely proportional?)

💭 Think About

• Write down the standard formula for inductive reactance and identify which values you are given in the question. • Substitute the given inductance and frequency into the formula, keeping track of units, and calculate the numerical value step by step. • Compare your calculated value with the choices and pay attention to the order of magnitude to eliminate unreasonable answers.

✅ Before You Answer

• Make sure you are using the correct formula for inductive reactance (not resistance or capacitive reactance). • Verify your use of 2π and the frequency value (3000 Hz) in the calculation so you don’t miss a factor of 10. • Check whether your final answer’s order of magnitude (thousands, tens of thousands, hundreds of thousands of ohms) makes physical sense for a 2-H inductor at 3000 Hz.