How do I calculate the magnitude and phase angle using both cosine and sine rules?
@luxfoa01-DlupJV
•
Oct 25, 2024
Oct 25, 2024
1.5K
Please help! I have spent hours trawling through books and the internet trying to answer this question. I am a first year BTEC student and haven't received any input on how to solve this problem. An electrical circuit is connected to an a.c supply voltage and draws a current from the supply.The circuit has four parallel branches. Each branch has its own current.
The current in branch one i1 has a magnitude of 20A and is in phase with the supply voltage hence it's angle is 0 radians
i2 has a magnitude of 5A ata a phase angle to the reference of 1 radian
i3 has a magnitude of 10A at a phase angle to the reference of 3.14/2 radians
i4 has a magnitude of 10A at a phase angle of 3.785 radians
1)Plot the vectors on a diagram
2)Calculate the magnitude and phase angle, to the reference, of the resultant supply current using both cosine and sine rules as appropriate.
The current in branch one i1 has a magnitude of 20A and is in phase with the supply voltage hence it's angle is 0 radians
i2 has a magnitude of 5A ata a phase angle to the reference of 1 radian
i3 has a magnitude of 10A at a phase angle to the reference of 3.14/2 radians
i4 has a magnitude of 10A at a phase angle of 3.785 radians
1)Plot the vectors on a diagram
2)Calculate the magnitude and phase angle, to the reference, of the resultant supply current using both cosine and sine rules as appropriate.
