Node P in a complex network is connected to four branches leading to the rest of the…
PHYSICS · Subjective · CBSE · Physics · Current Electricity · Current Electricity
Problem
Node P in a complex network is connected to four branches leading to the rest of the circuit. Measurements show that currents of 1.2A and 0.9A enter the node through branches AP and BP respectively. The currents in the remaining two branches CP and DP, denoted IC and ID, leave the node. It is known from separate resistance readings that the current in branch CP is twice the current in branch DP.
(a) Write a single algebraic equation relating all four branch currents at node P.
(b) Using the given numerical data, form a system of two equations in IC and ID and solve for their values.
(c) Comment on how the obtained values ensure that no net charge accumulates at node P.