At node in a complex network

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

At node PP in a complex network, currents in five branches are described using the convention: positive value means the current is toward the node. The measured values are I1=+1.8 AI_1 = +1.8\,\text{A}, I2=−0.5 AI_2 = -0.5\,\text{A}, I3=+0.9 AI_3 = +0.9\,\text{A}, and I4=+0.4 AI_4 = +0.4\,\text{A}. Determine I5I_5 under the same sign convention so that the current balance at the node is satisfied. (a) +3.1 A+3.1\,\text{A} (b) −2.6 A-2.6\,\text{A} (c) +2.6 A+2.6\,\text{A} (d) −3.6 A-3.6\,\text{A}

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