Calculating RMS Current and Phase Shift in an Inductive Circuit

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SUMMARY

The discussion focuses on calculating the root mean square (RMS) current and phase shift in an inductive circuit with a 5 H inductor connected to a 110 Vrms, 60 Hz voltage source. The RMS current can be determined using the formula I = Vrms / (X_L), where X_L is the inductive reactance calculated as X_L = 2πfL. For part B, the phase shift of the current in relation to the voltage is 90 degrees, as the current lags the voltage in an ideal inductor.

PREREQUISITES
  • Understanding of inductive reactance (X_L) and its calculation
  • Familiarity with root mean square (RMS) values in AC circuits
  • Knowledge of phase relationships in AC circuits
  • Basic proficiency in using Ohm's Law and power equations
NEXT STEPS
  • Study the calculation of inductive reactance using the formula X_L = 2πfL
  • Learn about the phase relationship between voltage and current in inductive circuits
  • Explore the implications of non-ideal inductors on phase shift and current calculations
  • Review AC circuit analysis techniques, focusing on impedance and phasor diagrams
USEFUL FOR

Electrical engineering students, educators teaching AC circuit theory, and professionals working with inductive loads in power systems.

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
 
Last edited:

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