Power dissipated in an RL circuit

1. The problem statement, all variables and given/known data

a) A circuit contains two elements, but it is not known if they are L, R or C. The current in this circuit when connected to a 2.16×102 V, 60.0 Hz source is 6.10 A and lags the voltage by 3.60×10^1 degrees. What are the two elements?

c) What is the power dissipated in this circuit?

2. Relevant equations


3. The attempt at a solution

I determined that it was an LR circuit and calculated the impedance Z for part b) of the question but I’m stuck on the power. I did a simple P=IR to get an answer of 1.32E3 W but that was wrong, and I also tried dividing the I and V given by √2 to get rms values, then multiplying, which gave me 659 W but it’s still wrong. Any insights or nudges in the right direction would be much appreciated!

Edit: I just realized my angle is 36 degrees, not 360 like I originally thought. That means I need to have a cos36 in there somewhere right? I’m still unsure as to whether I’m supposed to be using rms values or not though.


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