Finding the line current in an ac circuit

In summary, line current is the total flow of electrical current through the power line in an AC circuit, measured in amps. It differs from phase current, which refers to the current through individual components. The line current can be calculated using the voltage and total impedance of the circuit. It is affected by voltage, impedance, and power factor. Knowing the line current is important for safety, power consumption, and troubleshooting in an AC circuit.
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james99
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Homework Statement


Given the load impedence is 18 + j15 ohms, what is the line current. Follow this link to see the circuit and the variables. http://www.flickr.com/photos/61312863@N07/5584165017/


Homework Equations


Vab = Van*root[3] angle 30 degrees
Iab = Vab/Z
Ia = Iab*root[3] angle -30 degrees


The Attempt at a Solution


Load impedance = 18 + j15 = 23.43 angle 39.8

Vab = root[3]*100 angle 30 degrees = 173.21 angle 30 degrees

Iab = 173.21<30/23.43<39.8 = 7.39<-9.8

Ia = 7.39<-9.8 * root [3]<30 = 12.80<-39.8
 
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  • #2


Therefore, the line current in the circuit is 12.80 amps, with a phase angle of -39.8 degrees. This means that the current is leading the voltage by 39.8 degrees.
 

What is line current in an AC circuit?

Line current refers to the flow of electrical current through the power line or conductor in an AC circuit. It is the total current that is drawn from the power source and is measured in amps (A).

How is line current different from phase current in an AC circuit?

Phase current refers to the current flowing through an individual component (such as a resistor or capacitor) in an AC circuit. Line current, on the other hand, is the total current drawn from the power source and is the sum of all the phase currents in the circuit.

How can I calculate the line current in an AC circuit?

To calculate the line current, you will need to know the voltage of the circuit (measured in volts) and the total impedance (measured in ohms). You can then use Ohm's Law (I = V/R) to determine the line current.

What factors affect the line current in an AC circuit?

The line current in an AC circuit is affected by the voltage of the circuit, the total impedance, and the power factor. The power factor is a measure of how efficiently the current is being used and can affect the line current in a circuit.

Why is it important to find the line current in an AC circuit?

Knowing the line current in an AC circuit is important for safety reasons and for calculating the power consumption of the circuit. It can also help in troubleshooting any issues with the circuit and ensuring that the correct amount of current is being supplied to the components.

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