Answer:
Explanation:
Electric power is given by the formula
P = VI
as current is given by
I = V/R
P = V²/R is also a valid formula
This means that for a constant voltage V, the maximum power will occur when the Resistance is at a minimum.
for the circuit, the equivalent resistance is
Re = 2 + 1/(1/8 + 1/R₁)
For minimum Re, we need the right hand term to be as small as possible.
For the right hand term to be small, we want the denominator (1/8 + 1/R₁) to be very large. This will approach the largest value when R₁ approaches zero Ω to make 1/R₁ approach infinity.
R₁ = 0 makes Re = 2 Ω
P = 24²/2 = 288 W(atts) which will be the maximum possible power dissipation provided that the 2Ω resistor is capable of handling the heat. It will be carrying 100% of the current. The 8Ω resister will carry 0% of the current.
