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**1. Homework Statement [/**

1) Find the average and relative power for the voltage source and for each impedance branch. Are they absorbing or delivering average power/magnetizing VARS?

Those derived and

average power=P=((Vm*Im)/2)*(cos(theta(v)-theta(i))

reactive power=Q=((Vm*Im)/2)*(sin(theta(v)-theta(i))

These are the equations that I derived from the schematic:

for the first loop on the left, there really is no need for big equations since: R1=50 ohms

Then V=IR => I = V/R => I= (340<0 degrees/50 ohms)= 17/125 <0 degrees

such that for the second loop we want to find i2, and I derived this equation:

(-j100)*i2-(i2-i1)(-j100)+80*i2+(j60)*i2=0

substitute for i1 into the equation above and solve for i2 but I am not sure if this is correct.

Also, how would you simplify complex numbers, or do I need to use phasor notation (how do I do that)?

To calculate the average power, we simply use the formula mentioned above. But what do we input for the power factor angle?So, if it is positive power, it is an absorbing component otherwise it delivers the power if negative result.

Then to obtain the magnetizing VARS is only for the capacitor, so we use the same formulas but only the name changes right?

Thank you for your time!

1) Find the average and relative power for the voltage source and for each impedance branch. Are they absorbing or delivering average power/magnetizing VARS?

## Homework Equations

Those derived and

average power=P=((Vm*Im)/2)*(cos(theta(v)-theta(i))

reactive power=Q=((Vm*Im)/2)*(sin(theta(v)-theta(i))

## The Attempt at a Solution

These are the equations that I derived from the schematic:

for the first loop on the left, there really is no need for big equations since: R1=50 ohms

Then V=IR => I = V/R => I= (340<0 degrees/50 ohms)= 17/125 <0 degrees

such that for the second loop we want to find i2, and I derived this equation:

(-j100)*i2-(i2-i1)(-j100)+80*i2+(j60)*i2=0

substitute for i1 into the equation above and solve for i2 but I am not sure if this is correct.

Also, how would you simplify complex numbers, or do I need to use phasor notation (how do I do that)?

To calculate the average power, we simply use the formula mentioned above. But what do we input for the power factor angle?So, if it is positive power, it is an absorbing component otherwise it delivers the power if negative result.

Then to obtain the magnetizing VARS is only for the capacitor, so we use the same formulas but only the name changes right?

Thank you for your time!