Three resistors R₁ = 30 , , R₂ = 15 , , and R₃ = 10 , are connected in series between four successive nodes A, C, D, and B in that order. An ideal conducting wire connects node A to node D, and another ideal conducting wire connects node C to node B. A DC voltage source of 30 V is connected across terminals A and B. The current flowing through the ideal wire connecting node A to node D is:

Step-by-step solution

Let the nodes be A, C, D, and B in order. The resistors are connected as follows: R₁ between A and C, R₂ between C and D, and R₃ between D and B. The ideal wire between A and D means nodes A and D are at the same potential. Similarly, the ideal wire between C and B means nodes C and B are at the same potential. Since the voltage source is connected across A and B, let V_A = 30 V and V_B = 0 V . Thus, V_D = 30 V and V_C = 0 V . All three resistors are effectively connected in parallel across the 30 V source: Current