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