1.

I1, I2 and I3 in the figure below are mesh currents. The correct set of mesh equation for these currents, in matrix form, is _______

A. \(\left[ {\begin{array}{*{20}{c}} 3&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&3 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ { - {V_3}} \end{array}} \right]\)
B. \(\left[ {\begin{array}{*{20}{c}} 3&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&{ - 3} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ {{V_3}} \end{array}} \right]\)
C. \(\left[ {\begin{array}{*{20}{c}} { - 3}&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&3 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ { - {V_3}} \end{array}} \right]\)
D. \(\left[ {\begin{array}{*{20}{c}} 1&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&3 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ {{V_3}} \end{array}} \right]\)
Answer» B. \(\left[ {\begin{array}{*{20}{c}} 3&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&{ - 3} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ {{V_3}} \end{array}} \right]\)


Discussion

No Comment Found