Calculating RMS Current and Phase Shift in an Inductive Circuit

AI Thread Summary
To calculate the RMS current through a 5 H inductor connected to a 110 Vrms, 60 Hz outlet, the inductive reactance (XL) must be determined using the formula XL = 2πfL, which results in an XL of approximately 62.83 ohms. The RMS current (Irms) can then be found using Ohm's law: Irms = Vrms / XL, yielding about 1.75 A. For the phase shift, the current lags the voltage in an inductive circuit, and the phase angle (φ) can be calculated using φ = arctan(XL/R), where R is the resistance; since R is not specified, the phase shift remains dependent on R's value. Assuming zero resistance, the phase shift would be 90 degrees, indicating the current lags the voltage by this amount. Understanding these concepts is crucial for analyzing inductive circuits effectively.
magnifik
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root mean square current??

Homework Statement


A) If the voltage across the outlet terminals in your house is 110 Vrms at 60 Hz, and an ideal 5 H inductor is placed across the outlet terminals, what is the magnitude of the rms current flowing through the inductor?

B) Assuming that the 110 Vrms at 60 Hz has zero phase shift, what is the phase (in degrees) of the current flowing through the non-ideal inductor of the previous problem?

Homework Equations


P=RI^2
P=(Vrms)^2/R
P=Vrms*Irms


The Attempt at a Solution


not sure what to do with the frequency and induction(?) values in part A
and not sure where to start with B...
 
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magnifik said:

Homework Equations


P=RI^2
P=(Vrms)^2/R

Those equations work for a resistor, but this problem has an inductor. Your textbook or lecture notes should have the relation between voltage and current for an inductor.
 


resolved
 
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