I have the circuit that is shown in the following picture http://i.imgur.com/mcNe4b4.jpg. Currently I'm not sure that I understand two things about it. Firstly how do I know the polarity over the resistance. Secondly they ask what the power is for each circuit element. I found that the current over the resistance is 2A and thus Pr = 20 W, Pv=20 W. Thus the current source have to be -40W, but given the relation that P=v(t)i(t) I get -(2*10)=-20 W.

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Is the element on the left a current source, or just an ammeter in the circuit measuring 2 amps?

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