Final answer:
To draw the power triangle, calculate the apparent power, real power, and reactive power. Calculate the load power factor and determine if the load is leading or lagging. Use a capacitor to change the power factor to unity.
Step-by-step explanation:
To draw the power triangle for the given single-phase load, we need to calculate the apparent power, real power, and reactive power. The formula for apparent power is S = VI, where V is the voltage and I is the current. The formula for real power is P = VIcosϕ, where ϕ is the phase angle. The reactive power can be calculated using Q = VIsinϕ. Once we have these values, we can draw the power triangle.
To find the load power factor, we need to calculate the cosine of the phase angle. The load power factor is the cosine of the phase angle.
If the load power factor is greater than 0, the load is leading. If the load power factor is less than 0, the load is lagging.
To change the power factor to unity (1), we can use a capacitor. The size of the capacitor can be calculated using the formula C = -Q/ωV^2, where Q is the reactive power, ω is the angular frequency, and V is the voltage.