Circuit Lab B/C

PM2017
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Joined: January 20th, 2017, 5:02 pm
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Re: Circuit Lab B/C

Nikola Tesla.
Helped to construct the world's first hydroelectric dam.
West High '19
UC Berkeley '23

Go Bears!

UTF-8 U+6211 U+662F
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Re: Circuit Lab B/C

Choose one famous circuit scientist and list his major accomplishment.
Volta - invented the voltaic pile, giving insight into Galvani's idea of "animal electricity"
Edit: Oh, beaten to it

Jacobi
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Joined: September 4th, 2018, 7:47 am
State: -

Re: Circuit Lab B/C

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

PM2017
Member Posts: 491
Joined: January 20th, 2017, 5:02 pm
State: CA

Re: Circuit Lab B/C

Choose one famous circuit scientist and list his major accomplishment.
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.
West High '19
UC Berkeley '23

Go Bears!

UTF-8 U+6211 U+662F
Exalted Member Posts: 1518
Joined: January 18th, 2015, 7:42 am
Division: C
State: PA

Re: Circuit Lab B/C

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
Exalted Member Posts: 137
Joined: September 4th, 2018, 7:47 am
State: -

Re: Circuit Lab B/C

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:
3 kohm
2 kohm
4 kohm

UTF-8 U+6211 U+662F
Exalted Member Posts: 1518
Joined: January 18th, 2015, 7:42 am
Division: C
State: PA

Re: Circuit Lab B/C

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:
3 kohm
2 kohm
4 kohm
That's not what I got :/

Jacobi
Exalted Member Posts: 137
Joined: September 4th, 2018, 7:47 am
State: -

Re: Circuit Lab B/C

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:
3 kohm
2 kohm
4 kohm
That's not what I got :/
I'm assuming that the resistors in the Y are in series. That means that
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
Exalted Member Posts: 1518
Joined: January 18th, 2015, 7:42 am
Division: C
State: PA

Re: Circuit Lab B/C

From Node x to center:
3 kohm
2 kohm
4 kohm
That's not what I got :/
I'm assuming that the resistors in the Y are in series. That means that
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
Member Posts: 491
Joined: January 20th, 2017, 5:02 pm
State: CA

Re: Circuit Lab B/C

1.9445 k-ohm
1.6665 k-ohm
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!)
West High '19
UC Berkeley '23

Go Bears!