Find the power dissipated in the
8 W resistor.
is = I1
KVL around mesh 1.
7 I1 + 4 I1 - 4 I3 + 16 I1 - 16 I2 = 0
27 I1 - 16 I2 - 4 I3 = 0 (Eq. 1)
KVL around mesh 2.
16 I2 - 16 I1 + 7 I2 - 7 I3 + 8 I2 - 80 = 0
- 16 I1 + 31 I2 - 7 I3 = 80 (Eq. 2)
KVL around mesh 3.
4 I3 - 4 I1 - 24 is + 20 I3 + 7 I3 - 7 I2 = 0
4 I3 - 4 I1 - 24 i1 + 20 I3 + 7 I3 - 7 I2 = 0
- 28 I1 - 7 I2 + 31 I3 = 0 (Eq. 3)
Solving the three equations yields:
I1 = 4.352 A
I2 = 6.022 A
I3 = 5.291A
Finally, the power dissipated in the 8 W resistor is
P = I2R = I22R = 6.0222 (8) = 290 W
and yet again, the book's answer is incorrect. (This is getting ridiculous!)