Hello everyone, I have what appears to be a simple question, however i have a few questions regarding it..
My first question(well more of a check whether im doing it correctly) is to work out the mean value of the waveform V(t)=Acos(Wt)
Here is my solution:
_ T
V = 1/T ∫ Vdt where T= 2∏/W
0
_ 2∏/W
V = W/2∏ ∫ Acos(Wt)dt
0
_ 2∏/W
V = W/2∏ [AsinWT/W ]
0
_ 2∏/W
V = A /2∏ [sinWT ]
0
_
V = A /2∏ [sin2∏ -sin(0) ]
_
V = A /2∏
Does the final answer seem correct? I only question this because squaring the above, does not give me the correct answer of :
_
V = A^2 /2
Please tell me what I am doing wrong! Thanks
My first question(well more of a check whether im doing it correctly) is to work out the mean value of the waveform V(t)=Acos(Wt)
Here is my solution:
_ T
V = 1/T ∫ Vdt where T= 2∏/W
0
_ 2∏/W
V = W/2∏ ∫ Acos(Wt)dt
0
_ 2∏/W
V = W/2∏ [AsinWT/W ]
0
_ 2∏/W
V = A /2∏ [sinWT ]
0
_
V = A /2∏ [sin2∏ -sin(0) ]
_
V = A /2∏
Does the final answer seem correct? I only question this because squaring the above, does not give me the correct answer of :
_
V = A^2 /2
Please tell me what I am doing wrong! Thanks