Maximum Power Transfer Theorem

Maximum power transfer theorem may be stated as

A resistive load will abstract maximum power from a network when the load resistance is equal to resistance of the network as viewed from the output terminals with all other energy source removed leaving behind their internal resistance.

In the given fig is a G/R, R_g is internal resistance, R is a resister connect in series with the R_g.

Total internal resistance of the circuit.

R_i = R_g + R

if

R_i = R_L

Then R_L will be maximum power from the circuit we know that

Where V_s is the voltage source

The power delivered to the load

P_i = P_L

P_L= V_L I_L

Putting values