A 50Hz, bar primary CT has a secondary with 500turns. The secondary su...
Primary and Secondary Current Calculation
Using the formula,
Secondary Current (I2) = Primary Current (I1) x (Number of Secondary Turns/Number of Primary Turns)
Substituting the given values, we get:
I2 = I1 x (500/1)
Therefore, I1 = I2/500
Substituting the given values, we get:
I1 = 5/500 = 0.01A
Power Calculation
Using the formula,
Power = Current x Voltage x Power Factor
Since the burden is purely resistive, Power Factor (PF) = 1
Substituting the given values, we get:
Power = 5 x 1 x 1 = 5W
Phase Angle Calculation
Using the formula,
tan(θ) = (Secondary Impedance/Primary Impedance)
Primary Impedance (Z1) = Primary Current (I1) / Magnetizing Ampere Turns (N)
Substituting the given values, we get:
Z1 = 0.01 / 200 = 0.00005 ohm
Secondary Impedance (Z2) = Burden Resistance (R)
Substituting the given value, we get:
Z2 = 1 ohm
Substituting the calculated values in the formula, we get:
tan(θ) = (1/0.00005) = 20,000
Therefore, θ = tan-1(20,000) ≈ 89.9°
Conclusion
The phase angle between primary and secondary current is approximately 89.9°.