Question

R111n2 L2 50 0.0796 1.59 VOFF 0 VAMPL110 FREQ 60 R2 1k The above circuit has a 1 Find the current through the primary Find the current through the secondary 10V, 60Hz source d. Determine the equivalent circuit when referring the secondary to the primary e. Determine the equivalent circuit when referring the primary to the secondary RS C 5 0.00133 RL 200 The above circuit has a 110V, 60Hz source Determine a new winding ratio and value for the impedance Z such that the load power f. is maximized for the given sou rce and source impedance

Answer 1

Convert l values into reactance form 0.0796 rightarrow j 2pi fl rightarrow j 2pi times 60 times 0.0796 rightarrow j 30 Ohm 1.59 H rightarrow j 2pi fL rightarrow j 2pi times 60 times 1.59 rightarrow j 599.4 Ohm k = 4/1 k = 4 Z_L' = 1000 + j 599.4/k^2 \r\n Z_L' = 1000 + j 599.4/16 Z_L' = 62.5 + j 37.5 I_1 = 110/50 + j 30 + 62.5 + j 37.5 I_1 = 0.838 -30.96 A \r\n k = 4 Z_p' = (50 + j 30) k^2 = (50 + j 30) 4^2 Z_p' = (800 + j 480) Here v_1/v_2 = 1/4 110/v_2 = 1/4 v_2 = 440 v Now I_2 = V_2/800 + j 480 + j 599.4 + 1000 I_2 = 440/800 + j 480 + j 599.4 + 1000 I_2 = 0.21 -30.95 A \r\n 0.00133 rightarrow -j/2pi fc rightarrow -j/2pi times 60 times 0.00133 rightarrow -j 2 Ohm k = n/1 k = n k = 1