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Hi I need to find Vab in the following circuit using Mesh Currents...Ive tried this a million times, I understand the method...but im definitely doing something wrong. Whould I Simplify the top loop?...if its possible. Ive been doing it as 3 loops, but i dont know what to use as a voltage for the top.

the file is attached,

Here is my matrix:[tex] \left( \begin{array}{ccc} 8 & -6 & -2\\-6 & 19 & -5\\-2 & -5 &7\end{array}\right) \left( \begin{array}{c} I_1\\I_2\\I_3\end{array}\right) = \left( \begin{array}{c} 28\\0\\20\end{array}\right)[/tex]

[tex]V_{ab}[/tex] is suppose to equal 10V...

Thanks

the file is attached,

Here is my matrix:[tex] \left( \begin{array}{ccc} 8 & -6 & -2\\-6 & 19 & -5\\-2 & -5 &7\end{array}\right) \left( \begin{array}{c} I_1\\I_2\\I_3\end{array}\right) = \left( \begin{array}{c} 28\\0\\20\end{array}\right)[/tex]

[tex]V_{ab}[/tex] is suppose to equal 10V...

Thanks

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