Formally your answer is correct. Input source impedance is (3||6 Ohm)=2 Ohm, therefore from matching theorem your load must be also 2 Ohm for maximal transferred power. You just need to trim negative resistance answer to closest physical value (i.e. 0).Physics lover said:
Your error is in assuming all minima are local minima, i.e. where a gradient is zero.Physics lover said:
Can you please explain me how can i do that here means how can i find the range of R.haruspex said:
The range of R should either be given by the problem(for example in this problem it could have been given that the variable resistor is in the range for example ##[4,404]##) or can be logically inferred like for example in this problem the range of R is logically inferred to be ##[0,+\infty)##. So you look for maximum or minimum at the end points and how to prove that the value at the end point is a maximum (or minimum).Physics lover said:
haruspex said:
Maximum power in a resistor circuit refers to the highest amount of power that can be delivered to a load by the circuit. This is when the circuit is operating at its maximum efficiency.
Maximum power in a resistor circuit is calculated by finding the product of the square of the voltage across the resistor and the inverse of the resistance. This can be represented by the equation: Pmax = VR2/R.
The maximum power in a resistor circuit is affected by the voltage, current, and resistance in the circuit. It is also influenced by the type of material the resistor is made of and its temperature.
Understanding maximum power in a resistor circuit is important because it allows us to determine the maximum load that can be connected to the circuit without causing damage. It also helps in designing efficient circuits for specific applications.
The maximum power in a resistor circuit can be increased by increasing the voltage or decreasing the resistance. However, it is important to note that exceeding the maximum power limit can cause the resistor to overheat and potentially fail.