Calculating Frequency for R1, L Circuit

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AI Thread Summary
The discussion focuses on calculating the frequency for an R1, L circuit with an AC voltage source of 115 V, a resistor of 3.35 kΩ, and an inductor of 39 mH to achieve an rms current of 31.33 mA. Key formulas mentioned include the relationship between rms current, rms voltage, and impedance, specifically using Z = √(R² + XL²) and the conversion from angular frequency (ω) to frequency (f). The user successfully applied these formulas to solve for the frequency. The conversation emphasizes the importance of correctly using the impedance and the conversion factors in the calculations. Overall, the thread provides a clear method for determining the frequency in an RL circuit.
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Homework Statement



In the circuit shown, the AC voltage source supplies an rms voltage of 115 V and the circuit has R1 = 3.35 kΩ and L = 39 mH.

a) At what frequency will the rms current be 31.33 mA (milliamperes)?

Homework Equations



irms=vrms / XL

The Attempt at a Solution



Did you remember to convert from ω to f?[PLAIN]https://wug-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/Phys1202/summer/homework/Ch-23-24/RL_phase/RL.jpg
 
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do you know the formula relating Irms, Vrms, Z (impedance) ?
use that ...
 
Z= (sqrt R^2 + XL^2) = (sqrt R^2 +(wL)^2)
Vrms,R = IrmsR
Vrms,L = IrmsXL = Irms(wL)
wL= 2pi*f*L


these are the formula i used and i solve for f thanks for the help
 

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