The variable resistor in the circuit of Figure 4 is adjusted for maximum power transfer to R.. (a) Find the numerical value of Ro. (b) Find the maximum power delivered to R.. (c) How much power does the 180 V source delivers to the circuit when R, is adjusted to the value found in (a). 180is VA 20 Ω 162 180 V (+ R. 10N 0.1vA Figure 4

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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.