Okay, so i've got some questions and I seem to be struggling on part of them, mainly the phase angles, real and apparent powers,
1.
Here is the information i know
Inductive reactance = 27.646 ohms
Z = 57.134
Current from power supply = 0.8751 A
Vl = iXl = 24.193 V
VR = 43.755 V
Now the part i got wrong:
I did the square root of 43.755^2 + 24.193^2 which = 49.998
To work out the phase angle i did = cos^-1 (24.193/49.998) which = 61 degrees (wrong)
Apparent power = Vsis = 50x0.8751 = 43.755 (wrong)
Real Power = Vsis x cos(theta) = 43.755 x cos 61.06 = 21.173 (wrong)
Any help with these would be appreciated.
2. Here is the information i know
Xc = 39.7887
Z = 63.899
i = 0.7825 A
Vc = iXc = 31.135
VR = 39.125
Now the parts i got wrong :
I tried to work out the phase angle by doing Cos ^-1 (31.135/50) = 51.488 degrees (wrong)
Apparent power = Vsis = 50x0.7825 = 39.125 (wrong)
Real Power = Vsis x cos(theta) = 30.125 x cos(51.488) (wrong)
The final question:
3.
a)Calculate Power factor of the circuit
b) calculate the value of capacitance needed to bring the circuit to unity power factor
Here is the information given :
Xl = 27.646
Z = 57.134
i=0.8751
VL = 24.193
VR = 43.755
Apparent Power = 43.755
Real Power = 21.173
So here is my working:
Square root of 43.755^2 - 21.173^2 = 38.291
Power factor = real/apparent = 21.173/43.755 = 0.484 (wrong)
Q = E^2/X
X = E^2/Q = 50^2/38.291 = 65.289 ohms (wrong)
C = 1/2 x pi (3.14159) x f x Xc = 1/2 x pi x 200 x 65.289
C = 1.2188496x10^-5
=12.19 uF
Any help with these questions would be appreciated, it is good practice for me
Thank you for your time
1.
Here is the information i know
Inductive reactance = 27.646 ohms
Z = 57.134
Current from power supply = 0.8751 A
Vl = iXl = 24.193 V
VR = 43.755 V
Now the part i got wrong:
I did the square root of 43.755^2 + 24.193^2 which = 49.998
To work out the phase angle i did = cos^-1 (24.193/49.998) which = 61 degrees (wrong)
Apparent power = Vsis = 50x0.8751 = 43.755 (wrong)
Real Power = Vsis x cos(theta) = 43.755 x cos 61.06 = 21.173 (wrong)
Any help with these would be appreciated.
2. Here is the information i know
Xc = 39.7887
Z = 63.899
i = 0.7825 A
Vc = iXc = 31.135
VR = 39.125
Now the parts i got wrong :
I tried to work out the phase angle by doing Cos ^-1 (31.135/50) = 51.488 degrees (wrong)
Apparent power = Vsis = 50x0.7825 = 39.125 (wrong)
Real Power = Vsis x cos(theta) = 30.125 x cos(51.488) (wrong)
The final question:
3.
a)Calculate Power factor of the circuit
b) calculate the value of capacitance needed to bring the circuit to unity power factor
Here is the information given :
Xl = 27.646
Z = 57.134
i=0.8751
VL = 24.193
VR = 43.755
Apparent Power = 43.755
Real Power = 21.173
So here is my working:
Square root of 43.755^2 - 21.173^2 = 38.291
Power factor = real/apparent = 21.173/43.755 = 0.484 (wrong)
Q = E^2/X
X = E^2/Q = 50^2/38.291 = 65.289 ohms (wrong)
C = 1/2 x pi (3.14159) x f x Xc = 1/2 x pi x 200 x 65.289
C = 1.2188496x10^-5
=12.19 uF
Any help with these questions would be appreciated, it is good practice for me
Thank you for your time