Dominic and Zoey decide they are ready to try a homework problem.The AC circuit illustrated in the simulation contains an inductor with inductance L = 1.64 H and has a frequency of f = 1.37 Hz with an applied AC voltage whose maximum is ΔVmax = 2.24 V.Find the inductive reactance. ΩFind the rms current in the circuit.
Question
Dominic and Zoey decide they are ready to try a homework problem.The AC circuit illustrated in the simulation contains an inductor with inductance L = 1.64 H and has a frequency of f = 1.37 Hz with an applied AC voltage whose maximum is ΔVmax = 2.24 V.Find the inductive reactance. ΩFind the rms current in the circuit.
Solution
To solve this problem, we need to follow these steps:
Step 1: Find the inductive reactance (X_L). The formula for inductive reactance is X_L = 2πfL, where f is the frequency and L is the inductance.
Substituting the given values:
X_L = 2π * 1.37 Hz * 1.64 H = 14.14 Ω
Step 2: Find the rms current (I_rms) in the circuit. The formula for rms current is I_rms = ΔV_max / X_L, where ΔV_max is the maximum voltage and X_L is the inductive reactance.
Substituting the given values:
I_rms = 2.24 V / 14.14 Ω = 0.158 A
So, the inductive reactance is 14.14 Ω and the rms current in the circuit is 0.158 A.
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