Answer:
maximum power = 300 W
Explanation:
Ohm's law: Ohm's law state that the current flowing through a metallic conductor, is directly proportional to the potential difference applied across its end. mathematically it is expressed as,
V = IR............. Equation 1
Where V = potential difference, I = current, R = Resistance of the conductor.
If the power flowing through is gives as
W = 120I - 12I² ..................... Equation 2
To get the maximum power we differentiate of equation 2 and equate to zero
dW/dt = 0
120 - 24l = 0........................... equation 3
Making I the subject of the equation,
I = 120/24 = 5 A.
Suubstituting the value of I into Equation 2
W = 120 (5) - 12(5)²
W = 600 - 300
W = 300 W.
Therefore maximum power = 300 W
