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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.

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
24-Ruby V
(To:DaveMartin)

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?

24-Ruby V
(To:Werner_E)

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

17-Peridot
(To:DaveMartin)

My Attempt:

23-Emerald I
(To:DaveMartin)

Prime 4 Express solution attached

23-Emerald I
(To:Fred_Kohlhepp)

Modified to add explanation.

17-Peridot
(To:DaveMartin)

Prime 8 Express Solution:

17-Peridot
(To:DaveMartin)

Using Solve Block

20-Turquoise
(To:DaveMartin)

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

20-Turquoise
(To:ttokoro)

With circuit.

20-Turquoise
(To:ttokoro)

Add arrows.

20-Turquoise
(To:ttokoro)

The one of Prime 9.

21-Topaz II
(To:DaveMartin)

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

21-Topaz II
(To:-MFra-)

Work in progress!!!

21-Topaz II
(To:DaveMartin)

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

21-Topaz II
(To:-MFra-)

Network analysis based on cut sets:

21-Topaz II
(To:-MFra-)

It apply to resistive networks  only.

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:

17-Peridot
(To:DaveMartin)

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.
17-Peridot
(To:DaveMartin)

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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