Question

2. (15) Given the circuit, find the Thevenin's equivalent circuit without R Using the equivalent to determine the resistance R so that it can achieve the maximum power a. b. e caleulate the maximum power receved byR 24 V

Answer 1

(a) To find Thevenin equivalent without �R�, Remove �R� from circuit Req = 4 ohm parallel 4 ohm = 4 times 4/8 OR Req = 2 ohm//R_Th Now, we need to find V_oc occurs �R� By voltage divider Rule, V_oc = V_4 ohm(Right one) V_oc = 24 times 4/4 + 4 = 12 v V_oc = 12 v Thevenin equivalent is combination of V_oc in series with Req Boxed circuit (in green) Represent - Thevenin equivalent circuit without �R� (b) Now, To get maximum power occurs �R� By max power Transfer Theorem R_LOAD = R_SPIRCE or R_Thevenin so R = R_Th = 2 ohm // As calculated Above the value of Req = R_TH (c) maximum power Received by R P = V^2/4R = 144/4 times 2 = 18 p = 18 watts (because P_R = R times I^2 = R times (V/R + R)^2 = R V^2/4R^2 = V^2/4R