Norton's theorem application problem
Norton's theorem says that any voltage source in series with a resistor can be converted to a current source in parallel with a resistor:







simulate this circuit &ndash; Schematic created using CircuitLab

If you'd like to switch between the two circuits, the relationship is \$V_{TH} = I_NR\$; the resistor doesn't change.

In your case, the circuit simplifies to:







simulate this circuit

(I'll let you figure out the values of the components)

With this new circuit, it's pretty easy to tell that the total current split between the three resistors is \$I_1\$ + \$I_2\$. Using that total current, you can figure out the current (and then the voltage and power) by treating the circuit as a current divider.