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Set E1=24V, R1=12 oHMS, E2=12V, R2=8 ohms, R3=4 ohms. Solve for the currents using NODAL ANALYSIS.

Mathematics

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Step-by-step solution

2 steps
  1. Identify nodes and assign a reference node.

    We have two main nodes in the circuit:

    • The left vertical wire connecting points C, A, and E. Let's call this Node 1.
    • The right vertical wire connecting points D, B, and F. Let's call this Node 2.

    Let's choose Node 1 (C-A-E) as our reference node, so its voltage is V1=0 VV_1 = 0\,\text{V}.
    We need to find the voltage at Node 2, let's call it V2V_2.

  2. Determine voltages at known points relative to the reference node.

    • Since Node 1 is the reference, $V_C =
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