Write the nodal equations for the circuit above. What is the nodal voltage for V1?  The node connected to the current source. What is the nodal voltage for V2?  The node connected to the 54 V supply. Calculate the current through the 20 Ω resistor.

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Maximum power transfer theorem

A resistive load will consume maximum power from a network when the load resistance is equal to the resistance of the network as viewed from the open-circuit terminals, with all energy sources removed leaving only the internal resistances. Physicist Moritz von Jacobi introduced the maximum power transfer theorem in 1940. Therefore, this theorem is also known as Jacobi's law.