I Review I Constants Consider the circuit in (Figure 1). Suppose that R = 8.0 kn. Part A What percentage of the total power developed in the circuit is delivered to R, when Ro is set for the maximum power transfer? Express your answer as a percentage to three significant figures. • View Available Hint(s) Hint 1. How to approach the problem First of all, determine the value of Ro that permits the maximum power delivery to Ro. Knowing this value, you can find the power delivered to Ro and the total power developed in the circuit using the mesh-current method of circuit analysis and the power equation. Once the power values are obtained, one can determine what percentage of the total power developed in the circuit is delivered to Ro. • Hint 2. How to determine the expression for Ro when R. is set for the maximum power transfer The first step in the process of determining Ro is to recognize that a resistive network can always be replaced by its Thevenin equivalent. To derive Ro. express the power dissipated in R, as a function of three circuit parameters Vrh, RTh., and Ro. Since for a given circuit VTh and RTh are fixed, the power dissipated is a function of a single variable Ro, and the expression for R, in terms of Vrh and RTh, which maximizes the power, can be found by using elementary calculus Hint 3. How to obtain the values of VTh and RTh for the circuit Recall that the Thevenin equivalent circuit consists of a single independent voltage source in series with a single resistor. Note that the open-circuit voltage at the Thevenin terminals in the simplified circuit, that is, Vrh, must be the same as the open-circuit voltage at the terminals in the original circuit. Hence, to find the Thevenin voltage Vrh, you should calculate the open-circuit voltage in the original circuit. The Thevenin resistance RTh, can be determined by first deactivating all independent sources and then calculating the resistance seen looking into the network at the designated terminal pair. Recall that a voltage source is deactivated by replacing it with a short circuit, while a current source is deactivated by replacing it with an open circuit. Hint 4. How to use the mesh-current method of circuit analysis First, identify the meshes of the circuit and label the mesh currents for each mesh. Note that if a current source is shared between two meshes, you need to combine the meshes to create a supermesh and mentally erase the current source. Then, write KVL equations for each supermesh and each single mesh where the current is unknown. If there are supermeshes, write a supermesh constraint equation for each one. Figure 1 of 1 Solve the obtained system of equations to find the mesh-current values. Knowing them, you can determine component currents, voltages, and power values. Templates Symbols Slope/Displacement Vector undo rôdo reset keyboard shortcuts 'help 2.4 kn 1.6 k. w % delivered to R, = % )60 V 4.8 kn ()15 mA R Submit Request Answer 1.8 kn