Solving Impedance Diagrams: Finding i(t) with XL = ωL

AI Thread Summary
The discussion focuses on solving impedance diagrams to find the current i(t) using the formula XL = ωL. The user calculated the inductive reactance (XL) as 47 ohms and determined a phase angle of 88.8 degrees. However, there was confusion regarding the correct method to incorporate this phase angle into the function for i(t). Participants advised showing the work to identify errors and suggested converting inductance to impedance, adding it to resistance, and applying Ohm's law to find the current. The importance of using the correct frequency formula, ω = 2πf, was also emphasized.
k31453
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Homework Statement



Homework Equations


impedence diagram, XL = ωL

The Attempt at a Solution



Ok i got XL = 47 ohm
Then my phase angle is 88.8 degree.

Then to find i(t) i have to add that angle to the function right?
 
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k31453 said:
Ok i got XL = 47 ohm
Then my phase angle is 88.8 degree.

That's not quite right.

If you show your work maybe we can help find where things went wrong.
 
Convert the inductance to an impedance and add it to the resistance. You now have an equivalent circuit with the voltage drop across the impedance given. Use Ohm's law to find the current.

Remember ω = 2*pi*f
 
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