Question

1: Find the Thevenin equivalent circuit that the load (R) sees for the following circuit and determine the value of Ru for maximum power transfer. 10 V

Answer 1

To get the thevenin equivalent resistance R_in all independent sources set to zero consider the circuit 1 k ohm and 1 k ohm resistors are in parallel r_p = 1 k times 1 k/1 k + 1 k = 500 ohm the thevenin resistance R_th = R_p + 1 ohm + 3 ohm R_th = 500 + 1 + 3 = 50 mu ohm R_th = 50 mu ohm to find the thevenin voltage across the terminals a - b consider the circuit apply k c l at node v_1 i_1 + I_2 + 10 m a = 0 but i_3 = 10 m a current v_1 - 10/1 k + v_1/1 k + 10 m = 0 2 v_1 - 10/1 k + 10 m = 0 2 v_1 = 10 + 10 = 0 v_1 = 0 volts v_1