Question

Find the complex power for the following cases.

a) P = 5 kW, Q = -3 kVAR
b) P = -2 kW, Q = 4 kVAR
c) P = 8 kW, Q = 0
d) P = 0, Q = -6 kVAR

Answer 1

The complex power can be calculated using the formulas S = sqrt(P^2 + Q^2), where P is the real power and Q is the reactive power. Let's calculate the complex power for each case:

Step-by-step explanation:

The complex power, also known as apparent power, can be calculated using the formulas:

S = sqrt(P^2 + Q^2)

where P is the real power and Q is the reactive power.

Let's calculate the complex power for each case:

a) P = 5 kW, Q = -3 kVAR

S = sqrt((5^2 + (-3)^2) kW^2) => sqrt(25 + 9) kW => sqrt(34) kW

So, the complex power is approximately 5.83 kW.

b) P = -2 kW, Q = 4 kVAR

S = sqrt((-2^2 + 4^2) kW^2) => sqrt(4 + 16) kW => sqrt(20) kW

So, the complex power is approximately 4.47 kW.

c) P = 8 kW, Q = 0

S = sqrt((8^2 + 0^2) kW^2) => sqrt(64 + 0) kW => sqrt(64) kW

So, the complex power is 8 kW.

d) P = 0, Q = -6 kVAR

S = sqrt((0^2 + (-6)^2) kW^2) => sqrt(0 + 36) kW => sqrt(36) kW

So, the complex power is 6 kW.