Question

Write out your equations for the circuit pictured above, using variables for current (11, 12, 13), resistance (ri, r2, r3), and battery emf (ei, e2, e3). Capitalization matters; enter "ei", not "ei". Also, don't enter an equals sign in your answer! (Notice that for all the answer boxes below, the right-hand side of the equation is already provided.) Write a formula for the current junction rule. Write a voltage loop formula for the left-side loop of this system, (e.g., something in the form "ei - i2*R2 + 3.1416*E2", or similar.) Write a voltage loop formula for the right-side loop of this system.

Answer 1

a) Write a formula for the current junction rule.

You must know that the sum of all current entering the node is equal to the sum of the currents leaving. Then we have the following

The equation is done in the node f, look I1 and I3 arrive the node, I2 leave the node.

$I_{2}=I_{1}+I_{3}\rightarrow I_{2}-I_{1}-I_{3}$

b) Write a voltage loop formula for the left-side loop of this system.

The sum of all voltage are equal to zero. Then we have the following

$-E_{1}+E_{2}-I_{2}.R_{2}-I_{1}.R_{1}$

c) Write a voltage loop formula for the right-side loop of this system.

$-E_{2}+I_{3}.R_{3}+E_{3}+I_{2}.R_{2}$

If you have any question please let me know in the comments