MHB Circuit Diagram: Voltage & Current Calculation at Y & Z

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To determine the voltage at points Y and Z and the current through each resistor in the given circuit, three main approaches are discussed: using Kirchhoff's Voltage Law (KVL) on mesh currents, applying Kirchhoff's Current Law (KCL) at the nodes, or utilizing the equivalent resistance method. The choice of method may depend on the complexity of the circuit and personal preference for analysis. Each approach has its merits, with KVL being effective for loop analysis, KCL for node-based calculations, and the equivalent resistance method providing a straightforward path to the desired voltages and currents. Ultimately, selecting the best approach hinges on the specific circuit configuration and the solver's familiarity with the methods.
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For the circuit shown below, determine
i) The voltage (V) at points Y and Z.
ii) The current through each resistor.

For (i) do I have to split into series and parallel?
 

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There are at least three approaches to solving this problem:

  1. Use KVL on the four mesh currents for each loop.
  2. Use KCL on each of the four nodes.
  3. Use the equivalent resistance method, and recursively work your way to the locations in which you're interested.

Which approach sounds the best to you?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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