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If you're using mesh analysis, for each loop current do you have to have at least one node, where only that loop current through it?

For instance, if you have 2 loop currents, do you have to have at least two nodes where the current in node 1 is loop current 1 and the current in node 2 is loop current 2?

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No. If you imagine a 3-by-3 grid of small loops and consider the loop current in the center loop there is no element or node that has only that current flowing through it.

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  • \$\begingroup\$ True, but you can define the loops in a way that there is at least one node for each loop current, can't you? I'm wondering because my book takes explicit measures to ensure that this condition is met. \$\endgroup\$
    – dfg
    Commented Apr 3, 2014 at 19:59
  • \$\begingroup\$ Yes, there must be at least one node for each loop current but that's not what you asked. You asked if for each loop current there must be a node such that only that current flows through that node. These are two much different things. \$\endgroup\$
    – Joe Hass
    Commented Apr 3, 2014 at 22:05

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