Physics

Physics

Problem

At a node P of a circuit, currents of 2.0 A and 1.2 A flow into the node through two branches, while 0.5 A flows out of the node through a third branch. Determine the magnitude and direction (into or out of the node) of the current in a fourth branch so that Kirchhoff’s current law is satisfied.
Intuitive explanation

Kirchhoff's current law states that the total current entering a node must equal the total current leaving it—charge can't accumulate at a junction. Here you have currents flowing both in and out, so you need to track the net flow: add up what's coming in, add up what's going out, then find the missing fourth branch current that balances them. Think of it like a water junction where the flow in must equal the flow out.

Intuitive explanation

Kirchhoff's current law states that the total current entering a node must equal the total current leaving it—charge can't accumulate at a junction. Here you have currents flowing both in and out, so you need to track the net flow: add up what's coming in, add up what's going out, then find the missing fourth branch current that balances them. Think of it like a water junction where the flow in must equal the flow out.

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