Answer to Question #234332 in Calculus for shayan

Question

A. Assuming a two-terminal circuit element with impedance Z = 2.3 + 5i is driven by a sinusoidal current I = 𝒊(𝟎.𝟒𝟐−𝟑.𝟔𝒊) 𝟑.𝟓+𝟐.𝟓𝒊 . Find the voltage of the circuit (according to Ohm’s law V = IZ). 

Answer 1

Formula, V=IZ

$\implies V =[i(0.42-3.6i)3.5+2.5i].(2.3+5i)\\ =(12.6+3.97i).(2.3+5i)\\ =12.6×2.3+3.97i×2.3+12.6×5i+3.97i×5i\\ =9.13+72.131i\\ \text{Thus ,the required voltage is 9.13+72.131i.}$