Circuit Lab B/C

[PM2017]

answer (Click to Show Hidden Text)

Nikola Tesla.
Helped to construct the world's first hydroelectric dam.

[UTF-8 U+6211 U+662F]

Choose one famous circuit scientist and list his major accomplishment.

Click to Show Answer

Volta - invented the voltaic pile, giving insight into Galvani's idea of "animal electricity"

Edit: Oh, beaten to it

[Jacobi]

answer (Click to Show Hidden Text)

Nikola Tesla.
Helped to construct the world's first hydroelectric dam.

Looks good.

[PM2017]

Choose one famous circuit scientist and list his major accomplishment.

Click to Show Answer

Volta - invented the voltaic pile, giving insight into Galvani's idea of "animal electricity"

Edit: Oh, beaten to it

You can actually go ahead and make the next question. I'm short on time rn.

[UTF-8 U+6211 U+662F]

Okay. suppose you have three nodes arranged in a triangle shape with a 5-kohm resistor connecting nodes 1 and 2, a 6-kohm resistor connecting nodes 2 and 3, and a 7-kohm resistor connecting nodes 3 and 1. Build a new circuit with the same resistance between nodes but in a Y shape so that nodes 1, 2, and 3 are all one resistor away from a central node. (Sorry for the lack of diagram.)

[Jacobi]

Okay. suppose you have three nodes arranged in a triangle shape with a 5-kohm resistor connecting nodes 1 and 2, a 6-kohm resistor connecting nodes 2 and 3, and a 7-kohm resistor connecting nodes 3 and 1. Build a new circuit with the same resistance between nodes but in a Y shape so that nodes 1, 2, and 3 are all one resistor away from a central node. (Sorry for the lack of diagram.)

From Node x to center:

Node 1 (Click to Show Hidden Text)

3 kohm

Node 2 (Click to Show Hidden Text)

2 kohm

Node 3 (Click to Show Hidden Text)

4 kohm

[UTF-8 U+6211 U+662F]

Okay. suppose you have three nodes arranged in a triangle shape with a 5-kohm resistor connecting nodes 1 and 2, a 6-kohm resistor connecting nodes 2 and 3, and a 7-kohm resistor connecting nodes 3 and 1. Build a new circuit with the same resistance between nodes but in a Y shape so that nodes 1, 2, and 3 are all one resistor away from a central node. (Sorry for the lack of diagram.)

From Node x to center:

Node 1 (Click to Show Hidden Text)

3 kohm

Node 2 (Click to Show Hidden Text)

2 kohm

Node 3 (Click to Show Hidden Text)

4 kohm

That's not what I got :/

[Jacobi]

Okay. suppose you have three nodes arranged in a triangle shape with a 5-kohm resistor connecting nodes 1 and 2, a 6-kohm resistor connecting nodes 2 and 3, and a 7-kohm resistor connecting nodes 3 and 1. Build a new circuit with the same resistance between nodes but in a Y shape so that nodes 1, 2, and 3 are all one resistor away from a central node. (Sorry for the lack of diagram.)

From Node x to center:

Node 1 (Click to Show Hidden Text)

3 kohm

Node 2 (Click to Show Hidden Text)

2 kohm

Node 3 (Click to Show Hidden Text)

4 kohm

That's not what I got :/

I'm assuming that the resistors in the Y are in series. That means that

Calcs (Click to Show Hidden Text)

Nodes 1-2 = 3 + 2 = 5 kOhm
Nodes 2-3 = 2 + 4 = 6 kOhm
Nodes 1-3 = 3 + 4 = 7 kOhm

[UTF-8 U+6211 U+662F]

From Node x to center:

Node 1 (Click to Show Hidden Text)

3 kohm

Node 2 (Click to Show Hidden Text)

2 kohm

Node 3 (Click to Show Hidden Text)

4 kohm

That's not what I got :/

I'm assuming that the resistors in the Y are in series. That means that

Calcs (Click to Show Hidden Text)

Nodes 1-2 = 3 + 2 = 5 kOhm
Nodes 2-3 = 2 + 4 = 6 kOhm
Nodes 1-3 = 3 + 4 = 7 kOhm

You're forgetting that node 1 in the triangle is connected to node 3 in two different ways. Use delta-y conversion.

[PM2017]

Resistor 1 (Click to Show Hidden Text)

1.9445 k-ohm

Resistor 2 (Click to Show Hidden Text)

1.6665 k-ohm

Resistor 3 (Click to Show Hidden Text)

2.3335 k-ohm

Obviously some rounding errors, but if my methods were correct, it should be close enough.
(Also, finally some math. I can finally get into the game!)