week 13 day 2

Lecture 

Calculating Effective Current (I RMS) and Effective Voltage (V RMS):

 Calculating V RMS of  voltage graph with an offset of amplitude (Vp)

 Calculating Apparent Power and power factor using V RMS and I-RMS:

Calculating Complex Power: 

Apparent power and Power Factor Lab

Calculation of Vrms, I rms, Apparent power, Power factor, and Average power : 

Graph between input Voltage( Blue line), load voltage (yellow) and current across the load ( red )

RL=10 Ω

RL=47Ω

Rl= 100Ω

Below are the values of our calculated  and measured values:

RL 10 Ω

Rl=47Ω

Rl=100Ω

Summary 

Because voltage and current of AC circuits are sinusoids, it's more effective to describe voltage and current as it's effective voltage (Vrms) and effective current ( Irms) we can represent power as it's complex power Phasor. Complex power consists of average power as it's real part and reactive power as it's imaginary part. Average power is the product of apparent power( S) and power factor. apparent power can be calculated by finding the product of the magnitude of effective current and the effective voltage. In our, we obtain a low percent difference between calculated and measured effective voltage and current. by comparing the Power dissipated by resistor and load and taking the ratio,  we observe that the average power comes purely from the real part of the load. The ratio between the 2 power is identical with the ratio between two resistors.  therefore we can assume that all the power dissipated through the load is dissipated only by the two resistors. we also observe that power factor( P avg load divided by S load) is equal to the cosine of phase shift  angle between voltage and current)