### Electric Currents in Conductors#### The diagram below shows electric currents in conductors that meet at junction P:[**Diagram Explanation:**]- The diagram shows four conductors meeting at a point labeled P.- Current of magnitude 3A is flowing into junction P from the left.- Current of magnitude 4A is flowing into junction P from the bottom.- Current of magnitude 2A is flowing away from junction P upwards.- There is a conductor labeled PQ, with an unknown current flowing away from junction P towards Q.#### Question:**What are the magnitude and direction of the current in conductor PQ?**To find the current in conductor PQ, we make use of Kirchhoff's Current Law (KCL), which states that the total current entering a junction must equal the total current leaving the junction.**Step-by-step Solution:**1. **Identify Inward Currents:** - Current flowing into P from the left: \( I_1 = 3A \) - Current flowing into P from the bottom: \( I_2 = 4A \)2. **Identify Outward Currents:** - Current flowing out of P upwards: \( I_3 = 2A \) - Current flowing out of P to the right towards Q: \( I_{PQ} \) (unknown)3. **Apply Kirchhoff’s Current Law (KCL):** \[ I_{in} = I_{out} \] \[ I_1 + I_2 = I_3 + I_{PQ} \] Substitute the known values: \[ 3A + 4A = 2A + I_{PQ} \]4. **Solve for \( I_{PQ} \):** \[ 7A = 2A + I_{PQ} \] \[ I_{PQ} = 5A \]**Conclusion:**- The magnitude of the current in conductor PQ is 5A.- The direction of the current is away from junction P towards Q.

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Answered: The diagram below shows electric…

The diagram below shows electric currents in conductors that meet at junction P. 2 A 3 A 4 A What are the magnitude and direction of the current in conductor PQ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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