help me in this math question

help me in this math question



1. The voltage and current at the input of a circuit

are given by the expressions

v(t) = 130cos(?t +80°)V and

i(t) = 195cos(?t +130°)A.

Determine the average power absorbed by the circuit.



P = _______ W



 



2. Determine the real power, P, the reactive power,Q,

the complex power, S, and the power factor, p f , for three loads

having the following characteristics.



I = 4.5?285°Arms

V = 5?360°Vrms

P = ________ W



Q = ________ VAR

S = ________ VA

p f = ________

I = 7.5?270°Arms

Z = 5200? - 20°?

P = ________ W

Q = ________ VAR

S = ________ VA

p f =________

V = 8?330°Vrms

Z = 4900?30°?

P = ________ W

Q = ________ VAR

S = ________ VA



p f =________





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