Question

Find the value of Ru in the network in the figure below for maximum power transfer MA 10Ω 10Ω the tolerance is +/-5% Click if you would like to Show Work for this question: Open Show Work

Answer 1

Consider the given circuit: For maximum power transfer, the value of Resistance R_2 should be equal to Theremins Equivalent Resistance R_t h along R_L . Since there is a dependent source in the circuit, therefore first we will find the Thevenins equivalent voltage V_Th . open circuit the local Resistance R_L then the circuit becomes as follows: - In the loop shown: V_x = 1 ohm times 1 A = 1 v Therefore V_A B = -V_x + 4 V_x + (10 times 1) = -1 + 4 + 10 = -1 + 14 V_A B = 13 V Since the load is open circuited, therefore: V_Th = 13 V Now, to find R_Th, we need to find the short - circuit current I_s c, by re placing R_L by a short . Then the current in the branch having dependent source is: (1 - I_s c) \r\n - V_x + 4 V_x + 10 (1 - I_s c) = 10 times I_s c