Question

Need help with 2,3,4

PROBLEM 2: The two circuits are shown below (circuit A and circuit B); the ammeters in both circuits have source are interchanged. Calculate the ammeter readings in the two circuits, and comment on the results. negligible resistance. Notice that in the two circuits the position of the ammeter and the voltage R2 Ia 1 10 a AM1 90 V R4 20? R4 30? AM2 R1 5 0 R1 Circuit A Circuit B SHOW WORK FOR CREDIT.

Answer 1

Apply kvL for loop 1 10 I_a + 5 I_a + 30(I_a - l'_1) = 0 45I_a - 30I'_1 = 0 rightarrow 1 Apply kvL for loop 2 5I' + 30(I' - I_a) = 90 rightarrow 2 By solving 1 & 2 I_a = 4A I' = 6A: I = I' - I_a = 6 - 4 = 2A Apply kvL to loop 3 10I'' + 30(I'' - I_b) + 5I'' = 90 45I'' - 30I_b = 90 rightarrow 3 Apply kvL to loop 4 30(I_b - I'') + 5 I_b = 0 - 30 I'' + 35I_b = 0 rightarrow 4 By solving 3 & 4 I'' = 4.67: I_b = 4: I = I'' - I_b = 0.67 A\r\n For circuit A: v/I_a = 90/4 = 22.5 (v/A) For circuit B: v/I_b = 90/4 = 22.5 (v/A) [According to reciprocity theorem, in any linear network containly bilateral linear elements and generators, the ratio of a voltage v introduced in me mash to the currect I in any secard mesh is the same as the ratio obtained if the positions of v and I are interchanged] For the given circuit the reciprocity theorem is proved.