Use Kirchhoff's laws to form system of linear equations and then solve the resulting system to find currents. 10 ?? I? 10 V I? 30 ?? I? 130 V 20 ??
Added by Diane P.
Close
Step 1
Step 1: Apply Kirchhoff's voltage law to the first loop: -10 + 10 - I1 + 30 - I3 = 0 Simplify: 10 - 30 + I1 + I3 = 0 I1 + I3 = 20 Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 58 other Calculus 3 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
Write a matrix equation that determines the loop currents. Solve the system for the loop currents.
Adi S.
By using Kirchhoff's Laws, it can be shown that the currents $I_{1}, I_{2},$ and $I_{3}$ that pass through the three branches of the circuit in the figure satisfy the given linear system. Solve the system to find $I_{1}, I_{2},$ and $I_{3}$ $$\left\{\begin{aligned} I_{1}+I_{2}-I_{3} &=0 \\ 16 I_{1}-8 I_{2} &=4 \\ 8 I_{2}+4 I_{3} &=5 \end{aligned}\right.$$
Systems of Equations and Inequalities
Systems of Linear Equations in Several Variables
Electricity By using Kirchhoff's Laws, it can be shown that the currents $I_{1} I_{2},$ and $I_{3}$ that pass through the three branches of the circuit in the figure satisfy the given linear system. Solve the system to find $I_{1}, I_{2},$ and $I_{3}$ . $$ \left\{\begin{aligned} I_{1}+I_{2}-I_{3} &=0 \\ 16 I_{1}-8 I_{2} &=4 \\ 8 I_{2}+4 I_{3} &=5 \end{aligned}\right. $$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD