A complex voltage v is represented by:
v = 25 + 100 sin wt + 40 sin (3wt + Pi/6) + 20 sin (5wt + Pi/12)
Where w = 10^4 rad/s. The voltage is applied to a series circuit comprimising of a 5 Ohm resistance and 500 uH inductance.
Determine an expression to represent the current flowing in the circuit.
Now, I've managed to calculate RMS current etc, work out individual impedances, Max currents for each harmonic.
I've even calculated the Max current using complex numbers... however, I believe the answer for this section needs to be in the form of this equation:
i = 5 + i1m sin (10000t - 45degrees) + i3m sin (30000t - angle) + i5m sin (etc etc)
Because there is angles added on to the 3rd and 5th harmonic waves... I'm not sure if they need to be added/subtracted in the equation or not?
The problem I have is that there are angles for each maximum current, and then also angles from the harmonic... I've tried adding them together in rads but the answer doesn't seem right, and isn't the answer I get to when using complex numbers (which I'm assuming is the right answer).
Can't seem to find much on the internet. Any help would be much appreciated.
v = 25 + 100 sin wt + 40 sin (3wt + Pi/6) + 20 sin (5wt + Pi/12)
Where w = 10^4 rad/s. The voltage is applied to a series circuit comprimising of a 5 Ohm resistance and 500 uH inductance.
Determine an expression to represent the current flowing in the circuit.
Now, I've managed to calculate RMS current etc, work out individual impedances, Max currents for each harmonic.
I've even calculated the Max current using complex numbers... however, I believe the answer for this section needs to be in the form of this equation:
i = 5 + i1m sin (10000t - 45degrees) + i3m sin (30000t - angle) + i5m sin (etc etc)
Because there is angles added on to the 3rd and 5th harmonic waves... I'm not sure if they need to be added/subtracted in the equation or not?
The problem I have is that there are angles for each maximum current, and then also angles from the harmonic... I've tried adding them together in rads but the answer doesn't seem right, and isn't the answer I get to when using complex numbers (which I'm assuming is the right answer).
Can't seem to find much on the internet. Any help would be much appreciated.