Three phase systems - current magnitude

In summary, a three phase system is an electrical power transmission system consisting of three conductors carrying alternating current (AC) electricity at equal frequencies and with a phase difference of 120 degrees between each conductor. Current magnitude in a three phase system can be measured using a clamp meter, and the total current in a three phase system is higher than that in a single phase system, making it more efficient for transmitting large amounts of power. The phase angle in a three phase system is important for creating a continuous and balanced flow of electricity. Three phase systems are commonly used in industrial and commercial settings for high power applications, as well as in power distribution networks and for large residential appliances.
  • #1
GuthrieF
1
0
Homework Statement
A three phase delta connected load, each phase of which has an inductive reactance of 40Ω and
a resistance of 25Ω (connected in series), is supplied from the secondary of a three phase star
connected transformer which has a phase voltage of 240V. With the aid of a circuit diagram
calculate
(a) voltage magnitude across each phase of the load
(b) the current magnitude in each phase of the load
(c) the magnitude of the transformer winding currents
(d) the total real power and power factor
Relevant Equations
Vph=root3.Vl
total real power = VIcos angle
pf = P/S
so far on this question i have calculated the phase voltage as 415 Volts using by multiplying the line voltage by root 3. i know how to calculate (d) but am struggling with finding the equations to satisfy
 
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  • #2
Can you attach a diagram of your work so far? Thanks.
 

Related to Three phase systems - current magnitude

What is a three phase system?

A three phase system is a type of electrical power distribution that uses three alternating currents that are offset by one-third of a cycle. This type of system is commonly used in industrial and commercial settings.

What is the difference between single phase and three phase systems?

The main difference between single phase and three phase systems is the number of alternating currents used. Single phase systems use one alternating current, while three phase systems use three alternating currents. Three phase systems are more efficient and can handle higher power loads than single phase systems.

How is the current magnitude in a three phase system calculated?

The current magnitude in a three phase system is calculated by taking the square root of the sum of the squares of each individual phase current. This is known as the "root mean square" or RMS current.

What is the relationship between voltage and current in a three phase system?

In a three phase system, the voltage and current are directly proportional. This means that as the voltage increases, the current also increases. However, the relationship between voltage and current can vary depending on the type of load connected to the system.

How is power distributed in a three phase system?

In a three phase system, power is distributed evenly among the three phases. This means that each phase carries one-third of the total power load. This even distribution of power helps to increase the efficiency and stability of the system.

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