RL circuit inductive reactance problem

AI Thread Summary
To find the frequency at which inductive reactance equals resistance in an RL circuit, the relationship z=R√2 and z=√(R²+(ωL)²) is used. The user initially calculated the angular frequency ω as 7000 Hz but later realized the correct conversion from radians per second to hertz is ω=2πf. This led to the correct frequency calculation of approximately 1110 Hz, aligning with the teacher's answer. The discussion highlights the importance of understanding the relationship between angular frequency and standard frequency. Recognizing this conversion was crucial for arriving at the correct solution.
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Homework Statement



There's a coil, resistance R=7Ω, and inductance L=1mH, and its powered by a generator with variable frequency and Vmax=10V.
At what frequency is inductive reactance equal to resistance? (when z=R√2)

Homework Equations



z=R√2, z=√(R2+(ωL)2)

The Attempt at a Solution



I plugged in z=R√2 to z=√(R2+(ωL)2), and solved for ω. This ends up just simplifying to ω=R/L, which is 7Ω/0.001H, giving 7000Hz. But my teachers answer is 1110Hz. Am I doing something wrong here? Been stuck on this for a while.
 
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ω has units of radians/second.
 
Okay...isn't that basically the same thing? Frequency in measured in hertz, which is an inverse second. And also my teachers answer specifically says 1110 Hz
 
What is the equation relating Hz to radians/sec?
 
ahh. ω=2∏f. my bad...i don't know why i didnt recognize that. thanks!
 

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