Question

Sage Kirchoff

Go to Cocalc and create a Sage worksheet titled 'Kirchoff'

We will start with this set of equations.

First, define variables.

a, b, c = var('a b c')

Where a is I1, b is I2 and c is I3.

Then define the equations.

eq1 = -220*a + 5.8 - 370*b == 0

eq2 = 370*b + 150*c - 3.1 == 0

eq3 = a - b + c == 0

Then solve the equations for a, b and c.

solve([eq1,eq2,eq3],a, b, c)

Now, try to do it on your own. Here is a circuit.

First, draw the directions of the currents. Then write down the current conservation equations (Iin-Iout=0).

Draw 2 loops for the circuit. Then write down the Voltage conservation equations (Sum of voltage around a loop = 0) for each loop.

You should have three equations and three unknowns now.

In a comment in your code write down the 3 equations

Define your variables and equations and solve for I1, I2, and I3.

Answer 1

This was done using python (anaconda)