A load resistance 𝑅𝐿Ω is connected across the source 𝑉𝑆 with internal resistance 𝑅𝑖𝑛𝑑 in series with source; obtain the condition that the power transferred to load from source is maximum.

2.A] A load resistance 𝑅𝐿Ω is connected across the source 𝑉𝑆 with internal resistance 𝑅𝑖𝑛𝑑 in series with source; obtain the condition that the power transferred to load from source is maximum.

Answer:-

The original two-terminal circuit is replaced with a Theveninβ€Ÿs equivalent circuit across the variable load resistance. The current through the load for any value of load resistance is

From the above expression, the power delivered depends on the values of RTH and RL, but
mainly on the load resistance RL (as RTH is constant). To find the exact value of RL, we apply
differentiation to PL with respect to RL and equating it to zero as shown below:

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