42 - AC CIRCUITS PROBLEM 10 & 11 | Find the Impedance, current, and the phase angle

[@ChidiebubeAli]

Thanks man I really love your teaching

[@SkanCityAcademy_SirJohn]

Awesome you are most welcome

[@kelumo7981]

I am sorry man, it seems like you got the answer wrong, because you used 40 Ohms instead of 400/pi Ohms as stated in the question...I calculated the total impendence is Z=24.951 with the phase angle of -86.42 and finally my current was I=8.0156A with phase 86.4 degrees I used two methods 1) calculating the total effective impedance and then using the source voltage to calculate the total current. 2) Here I used the fact that the total current is equal to the sum of the current in each loop ,and they both yielded the same result

[@SkanCityAcademy_SirJohn]

There's nothing wrong with the solution, 400/pi micro Farads, in factored in solving for the capacitive reactance which is in parallel with the 40 ohm resistance to form the total impedance. Kindly double-check.