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Mathcad Community Challenge March 2023 - Electrical Engineering

DaveMartin
16-Pearl

Mathcad Community Challenge March 2023 - Electrical Engineering

This month’s challenge is electrical engineering related, but with multiple voltage potential sources in addition to resistors. See the image below.

Scenario 1. We have a circuit with a motor (modeled as a 100 Ohm resistor), a 6V voltage source, and a 100 Ohm resistor. Calculate the current in the motor and the resistor.

Scenario 2. We add another loop, with an additional 8V voltage source and a 120 Ohm resistor. Calculate the current in the motor and the two resistors.

Scenario 3. We add another loop, with an additional 10V voltage source and a 140 Ohm resistor. Calculate the current in the motor and the three resistors.

Scenario 4. We add another loop, with an additional 12V voltage source and a 160 Ohm resistor. Calculate the current in the motor and the four resistors.

Superposition Image.png



Note that these situations cannot be reduced to a combination of series or parallel resistors. There is a principle called Superposition you can apply instead.

I’m looking forward to seeing what Mathcad techniques can be applied to this problem!

Please refer to the PTC Mathcad Community Challenge Index and Guidelines for a list of rules for these challenges, as well as a listing of the previous challenges.

Dave Martin - dmartin@creowindchill.com - https://www.mcaeconsulting.com
19 REPLIES 19



Note that these situations cannot be reduced to a combination of series or parallel resistors.

Maybe I misunderstood the goal, but why shouldn't we be able to use basic Kirchhoff?

Werner_E_3-1677710144928.png

 

 

 

 

Here is a Prime function to work with resistance- and voltage-vectors of arbitrary length

Werner_E_4-1677711539057.pngWerner_E_5-1677711586634.png

 

ppal
17-Peridot
(To:DaveMartin)

My Attempt:

ppal_0-1677731176506.png

 

 

Prime 4 Express solution attached

Modified to add explanation.

Prime 8 Express Solution:

March2023.png

ppal
17-Peridot
(To:DaveMartin)

Using Solve Block

ppal_0-1677793863421.png

 

ttokoro
20-Turquoise
(To:DaveMartin)

Millman's theorem for node voltage analysis. Prime 8.

image.png

ttokoro
20-Turquoise
(To:ttokoro)

With circuit.

image.png

ttokoro
20-Turquoise
(To:ttokoro)

Add arrows.

image.png

ttokoro
20-Turquoise
(To:ttokoro)

The one of Prime 9.

image.png

-MFra-
21-Topaz II
(To:DaveMartin)

Hello everyone!
In scenario 1 I applied the voltage divider formula, in the other three the Millman theorem.

Answer to DMartin.jpg

-MFra-
21-Topaz II
(To:-MFra-)

Work in progress!!!

-MFra-
21-Topaz II
(To:DaveMartin)

Hello everyone!
I present a method of analysis of linear electric networks, of great generality. (File .xmcd attached).tableau0.jpgtableau1.jpgtableau2.jpg

-MFra-
21-Topaz II
(To:-MFra-)

Network analysis based on cut sets:

Network8.jpg

Network9.jpg

-MFra-
21-Topaz II
(To:-MFra-)

It apply to resistive networks  only.

-MFra-
21-Topaz II
(To:-MFra-)

In the worksheet I attached earlier, function ∅1 was missing. Now I have added ∅1 to the new worksheet attached here below:

March has... five working days remaining, so same applies for this challenge!

I manage the Creo and PTC Mathcad YouTube channels for PTC, as well as all PTC Mathcad marketing in general.

We've published the solutions blog covering your responses here! (And badges have been distributed.)

https://www.mathcad.com/en/blogs/community-challenge-multiple-voltage-sources

 

Look forward to the next challenge. 🙂

I manage the Creo and PTC Mathcad YouTube channels for PTC, as well as all PTC Mathcad marketing in general.
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