Find the currents in each branch of the given circuit below \( I_{1}, I_{2}, I_{3} \) tann 1 *.. \( 4 x_{1} \) win Vote: since we are proceeding around the closed path in a clockwise direction. If the flow is opposite direction, it is indicated as \( -I \)
Added by Sheila P.
Close
Your feedback will help us improve your experience
Kamalesh Bagrecha and 74 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Circuit Analysis Consider the circuit in the figure. The currents $I_{1}, I_{2}$ and $I_{3}$ in amperes are given by the solution of the system of linear equations. $$\left\{\begin{aligned} 4 I_{1} &+8 I_{3}=2 \\ 2 I_{2}+8 l_{3} &=6 \\ I_{1}+I_{2}-I_{3} &=0 \end{aligned}\right.$$ Use Cramer's Rule to find the three currents.
Matrices and Determinants
Applications of Matrices and Determinants
The following equations come from circuit theory, Find the currents $I_{1}, I_{2},$ and $I_{3}$ $I_{1}=I_{2}+I_{3}$ $16=4 I_{1}+2 I_{3}$ $24=4 I_{1}+4 I_{2}$ (FIGURE CANNOT COPY)
Systems of Linear Equations and Inequalities
The Determinant of a Square Matrix and Cramer's Rule
The following equations come from circuit theory. Find the currents $I_{1}, I_{2},$ and $I_{3}$ $I_{1}=I_{2}+I_{3}$ $24=6 I_{1}+3 I_{3}$ $36=6 I_{1}+6 I_{2}$ (FIGURE CANNOT COPY)
Recommended Textbooks
Precalculus with Limits
Precalculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD