Question

With reference to the circuit shown below, determine that value of RL to which a maximum power can be delivered and calculate the voltage across R 20 0 50 R + 10 V A. 20 ohms and 0.24 V B. 4.76 ohms and 0.24 V O C. 4.76 ohms and 10 V D.8,32 ohms and 5 V E. None of these ww)

Answer 1

The given circuit is: - To determine maximum power transferred to R_L, first we have to determine thevenin�s equivalent circuit across terminal ab (R_L) 1): For R_Th: All independent sources should replaced by their internal resistance ie voltage source by short - circuit current source by open circuit Apply kcL at node - (A) V_1/20 + V_1 - 4i/5 v_1/20 + v_1 - 4 (v_1/20)/5 {Because V_1/20 = i rightarrow v_1/20 + 4v_1/25 = 1 rightarrow v_1 = 4.7619 v almostequalto 4.76 volt Therefore R_Th = V_1/1A = 4.76/1 = 4.76 rhm For V_Th: - Apply KCL at node B: V_Th - 10/20 + V_Th - 4i/5 = 0 V_Th - 10/20 + V_Th - 4 (V_Th - 10/20)/5 = 0 {Because i = V_Th - 10/20 on solving the above equation: we get: - V_Th = 0.48 Volts Now, Thevenin�s Equivalent circuit is: - By maximum power transfer theorem, to get maximum power transferred to R_L R_L = R_Th = 4.76 Ohm hm and V = V_Th/2 = 0.48/2 = 0.24 Volt So option (B) is correct