Answer:
3.63 Ω
7.13 V
Explanation:
The 8.0 Ω resistor and 16.0 Ω resistor are in parallel. The equivalent resistance is:
(1 / 8.0 + 1 / 16.0) = 5.33 Ω
The 5.33 Ω resistance is in series with the 3.6 Ω resistor. The equivalent resistance is:
5.33 + 3.6 = 8.93 Ω
The 8.93 Ω resistance is in parallel with the 2.0 Ω resistor. The equivalent resistance is:
(1 / 8.93 + 1 / 2.0) = 1.63 Ω
The 1.63 Ω resistance is in series with the 2.0 Ω resistor. The total equivalent resistance of the circuit is:
R = 1.63 + 2.0 = 3.63 Ω
Power = voltage × current, and voltage = current × resistance, so:
P = V² / R
The power is 14.0 W and the resistance is 3.63 Ω, so the voltage is:
14.0 = V² / 3.63
V = 7.13 V
