Calculating RMS Current and Phase Shift in an Inductive Circuit

In summary, the problem involves finding the magnitude of the root mean square current flowing through an ideal 5 H inductor placed across a 110 Vrms outlet with a frequency of 60 Hz. The solution also requires understanding the phase shift of the current flowing through a non-ideal inductor. Equations for resistors are not applicable in this case and the textbook or lecture notes should be consulted for the appropriate relation between voltage and current for an inductor.
  • #1
magnifik
360
0
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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  • #2


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.
 
  • #3


resolved
 
Last edited:

Related to Calculating RMS Current and Phase Shift in an Inductive Circuit

1. What is the definition of root mean square (RMS) current?

The RMS current is a measure of the average current in a circuit that takes into account the magnitude and direction of the current. It is calculated by taking the square root of the mean of the squared values of the current over a given time period.

2. How is RMS current different from average current?

RMS current considers both the positive and negative values of the current, while average current only takes into account the magnitude of the current. This makes RMS current a more accurate representation of the actual current in a circuit.

3. Why is RMS current important in electrical engineering?

RMS current is important because it is used to calculate the power dissipated in a circuit. It is also used in determining the safe operating levels of electrical components and for measuring the efficiency of electrical systems.

4. How is RMS current measured?

RMS current can be measured using a multimeter, which is a device that measures the average value of a current over a given time period and then calculates the RMS value using a conversion factor. It can also be calculated using mathematical equations or computer simulations.

5. Can RMS current be higher than the peak current?

Yes, RMS current can be higher than the peak current because it takes into account both the positive and negative values of the current. In a circuit with alternating current, the RMS current will be higher than the peak current, but in a circuit with direct current, the RMS current will be the same as the peak current.

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