𝑗 - 𝜔 method alternating current circuit help

[magnuol]

Homework Statement:

I'm supposed to calculate the current and the phase angle.

Relevant Equations:

Can someone please tell me if this is the correct solution?

I'm supposed to calculate the current and the phase angle. Can someone please tell me if this is the correct solution?

 

[scottdave]

I got the same answer as you. I did not follow every step of your work. While the angle does round to 90 degree, I think it's important to know that it can never equal 90, and will be slightly less.

 

[magnuol]

I got the same answer as you. I did not follow every step of your work. While the angle does round to 90 degree, I think it's important to know that it can never equal 90, and will be slightly less.

You got the same answer regarding the value of the current as well?

 

[gneill]

Your current magnitude and angle are both correct.

 

[magnuol]

Your current magnitude and angle are both correct.

Does it seem accurate that the order of the real component (a) is 10^(-7) when the imaginary component (b) is that much bigger?

 

[gneill]

Yes. That's why the phase angle is so close to 90°.

 

[scottdave]

You got the same answer regarding the value of the current as well?

Yes, I got the same magnitude and angle for current I

 

[kuruman]

Yes, I got the same magnitude and angle for current I

For whatever it's worth, I got the same real and imaginary parts for the current as @magnuol .

 

[scottdave]

Hey @magnuol if this is something you will be working with, then you could benefit from finding a way to work out the complex number calculations - either a nice scientific calculator, or some software. Both Python and R are freely available programming environments, and both can handle complex number calculations (check out http://www.johnmyleswhite.com/notebook/2009/12/18/using-complex-numbers-in-r/ for some examples in R). Also, https://www.wolframalpha.com/ can handle those calculations as well.