Question

Answer the questions if the voltage and current are = 100 + 402 + 30 sin( ) 3 + 60° [], and = 10 − 60° + 2 3 + 135° [], respectively.

Average power P supplied to the circuit

Answer 1

To calculate the average power supplied to a circuit, you can use the formula Pave = Irms * Vrms * cos(ϴ), where Irms is the root mean square current, Vrms is the root mean square voltage, and ϴ is the phase angle between the voltage and current.

Step-by-step explanation:

To calculate the average power supplied to a circuit, we can use the formula Pave = Irms * Vrms * cos(ϴ), where Irms is the root mean square current, Vrms is the root mean square voltage, and ϴ is the phase angle between the voltage and current.

In this case, the given voltage is V = 100 + 402 + 30sin(3t + 60°) and the current is I = 10 - 60° + 2sin(3t + 135°).

First, we need to determine the root mean square values of the voltage and current using the formula Irms = √(I1^2 + I2^2 + I3^2 + ... + In^2) and Vrms = √(V1^2 + V2^2 + V3^2 + ... + Vn^2).

Once we have found the Irms and Vrms values, we can calculate the average power by multiplying Irms, Vrms, and the cosine of the phase angle between the voltage and current.