Cho hình sau. Chứng minh
----- Nội dung ảnh -----
Chứng minh:
\[\overset{\sim}{U}_1 = A_{11}\overset{\sim}{U}_2 + A_{12}\overset{\sim}{I}_2 \]
\[\overset{\sim}{I}_1 = A_{21}\overset{\sim}{U}_2 + A_{22}\overset{\sim}{I}_1 \]
\[\overset{\sim}{U}_{1ng} = 0 + A_{12}\overset{\sim}{I}_{2ng}\]
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\[\overset{\sim}{I}_{2ng} = \frac{\overset{\sim}{U}_{1ng}}{A_{12}}\]
\[0 = A_{11}\overset{\sim}{U}_{ng} + A_{12}\overset{\sim}{i}_{2ng}\]
\[\overset{\sim}{i}_{1ng} = A_{21}\overset{\sim}{U}_{ng} + A_{22}\overset{\sim}{I}_{2ng}\]
\[\Downarrow\]
\[\overset{\sim}{I}_{ng} = \frac{A_{12}A_{21} - A_{11}A_{22}}{A_{12}}\overset{\sim}{U}_{1ng}\]
Chứng minh:
\[\overset{\sim}{U}_1 = A_{11}\overset{\sim}{U}_2 + A_{12}\overset{\sim}{I}_2 \]
\[\overset{\sim}{I}_1 = A_{21}\overset{\sim}{U}_2 + A_{22}\overset{\sim}{I}_1 \]
\[\overset{\sim}{U}_{1ng} = 0 + A_{12}\overset{\sim}{I}_{2ng}\]
\[\Downarrow\]
\[\overset{\sim}{I}_{2ng} = \frac{\overset{\sim}{U}_{1ng}}{A_{12}}\]
\[0 = A_{11}\overset{\sim}{U}_{ng} + A_{12}\overset{\sim}{i}_{2ng}\]
\[\overset{\sim}{i}_{1ng} = A_{21}\overset{\sim}{U}_{ng} + A_{22}\overset{\sim}{I}_{2ng}\]
\[\Downarrow\]
\[\overset{\sim}{I}_{ng} = \frac{A_{12}A_{21} - A_{11}A_{22}}{A_{12}}\overset{\sim}{U}_{1ng}\]