cac1 (1)

Sheet1

physicsmatayom
cac1
no.
theory
1
C=Q/V
2
i=dQ/dt
3
w=2*pi*f
4
vC=VCm*sin(2*pi*f*t)
5
vC=VCm*sin(w*t)
6
iC=d(C.VCm*sin(w*t))/dt
7
dsin(w*t))/dt=w*cos(wt)
8
iC=(wC).VCm*cos(w*t)
9
iC=[VCm/(1/wC)]*sin(w*t+pi/2)
10
iC=ICm*sin(w*t+pi/2)
11
12
XC=1/(wC)=1/(2*pi*f*C)
13
14
15
<pC>avg.=Pm*<sin(wt)*sin(wt+pi/2)>
16
<sin(wt)*sin(wt+pi/2)>=<sin(2*wt)>/2=0
17
<pC>avg.=0
Data_table1
input_C(MFD)
500
input_f(Hz)
50
period(T,s)=1/f
0.02
XC(Ohm)=1/(2*pi*f*C)
6.37E+00
input_VCm(V)
10
1.57E+00
interval_no.
20
delta(t)
0.001
t(s)
vC=VCm*sin(2*pi*f*t)
iC=ICm*sin(2*pi()*f*t+pi/2)
PC(W)=vC*iC
Pavg(W)
area(p,t)=pavg*dt
0.000
0.000
1.57E+00
0.00E+00
9.97E-16
2.31E-03
0.001
3.090
1.49E+00
4.62E+00
9.97E-16
6.04E-03
0.002
5.878
1.27E+00
7.47E+00
9.97E-16
7.47E-03
0.003
8.090
9.23E-01
7.47E+00
9.97E-16
6.04E-03
0.004
9.511
4.85E-01
4.62E+00
9.97E-16
2.31E-03
0.005
10.000
1.92E-16
1.92E-15
9.97E-16
-2.31E-03
0.006
9.511
-4.85E-01
-4.62E+00
9.97E-16
-6.04E-03
0.007
8.090
-9.23E-01
-7.47E+00
9.97E-16
-7.47E-03
0.008
5.878
-1.27E+00
-7.47E+00
9.97E-16
-6.04E-03
0.009
3.090
-1.49E+00
-4.62E+00
9.97E-16
-2.31E-03
0.010
0.000
-1.57E+00
1.20E-14
9.97E-16
2.31E-03
0.011
-3.090
-1.49E+00
4.62E+00
9.97E-16
6.04E-03
0.012
-5.878
-1.27E+00
7.47E+00
9.97E-16
7.47E-03
0.013
-8.090
-9.23E-01
7.47E+00
9.97E-16
6.04E-03
0.014
-9.511
-4.85E-01
4.62E+00
9.97E-16
2.31E-03
0.015
-10.000
2.41E-15
-2.41E-14
9.97E-16
-2.31E-03
0.016
-9.511
4.85E-01
-4.62E+00
9.97E-16
-6.04E-03
0.017
-8.090
9.23E-01
-7.47E+00
9.97E-16
-7.47E-03
0.018
-5.878
1.27E+00
-7.47E+00
9.97E-16
-6.04E-03
0.019
-3.090
1.49E+00
-4.62E+00
9.97E-16
-2.31E-03
0.020
0.000
1.57E+00
5.20E-14
9.97E-16
empty_cell
x1_axis
y1_axis
y2_axis
y3_axis
y4_axis
1.99E-17
average=sum(area)/T
sum(area)
phase_vector_cac1
calculus_note1
proof that dsinx/dx=+cosx
dsinx/dx=+cosx
dcosx/dx=-sinx
trigonometry1

Sheet2

Sheet3