Final answer:
To compute the value of r that results in maximum power transfer to the 10Ω resistor, we can use the maximum power transfer theorem. According to the theorem, maximum power is transferred from a source to a load when the load resistance is equal to the internal resistance of the source.
Step-by-step explanation:
To compute the value of r that results in maximum power transfer to the 10Ω resistor, we can use the maximum power transfer theorem. According to the theorem, maximum power is transferred from a source to a load when the load resistance is equal to the internal resistance of the source.
In this case, the load resistance is the 10Ω resistor and the internal resistance of the source is given by R + 2R = 3R.
So, to find the value of r, we can set the load resistance equal to the internal resistance: 10Ω = 3r. Simplifying the equation, we get r = 10Ω/3.