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how to solve this resistor network problem?

https://isaacphysics.org/questions/transforming_resistors?board=a08c2f3f-669f-4c9f-aa01-ce52cd01f916&stage=a_level

unsure how to use the transforming circuits rule in part a) of this problem to find I1 in the part b) circuit.

- I tried to use kirchoff's current law to get: 22 = I1(1) + (I1/2)X(3),
which gave I1 = 8.8A but that was wrong.

- I attempted to draw a transformed circuit via the rule but unsure if its right (I'll post the diag in the comments), but am unsure of how to use the formulae.

I am STUCK!
(edited 7 months ago)
Reply 1
Original post by MonoAno555
https://isaacphysics.org/questions/transforming_resistors?board=a08c2f3f-669f-4c9f-aa01-ce52cd01f916&stage=a_level

unsure how to use the transforming circuits rule in part a) of this problem to solve the part b) circuit.

- I tried to use kirchoff's current law to get: 22 = I1(1) + (I1/2)X(3),
which gave I1 = 8.8A but that was wrong.

- I attempted to draw a transformed circuit via the rule but unsure if its right (I'll post the diag in the comments), but am unsure of how to use the formulae.

I am STUCK!


Sorry for bad quality/ drawings: https://postimg.cc/0zFGtfyw

my working:

R1 = (Ra*Rb) / ΣRa
R2 = (Ra*Rc) / ΣRa
R3 = (Rb*Rc) / ΣRa

R2 = (Rx*Ry) / ΣRx
R3 = (Rx*Rz) / ΣRx
R5 = (Ry*Rz) / ΣR
x

Does this make sense?
Original post by MonoAno555
Sorry for bad quality/ drawings: https://postimg.cc/0zFGtfyw

my working:

R1 = (Ra*Rb) / ΣRa
R2 = (Ra*Rc) / ΣRa
R3 = (Rb*Rc) / ΣRa

R2 = (Rx*Ry) / ΣRx
R3 = (Rx*Rz) / ΣRx
R5 = (Ry*Rz) / ΣR
x

Does this make sense?


Original post by MonoAno555
https://isaacphysics.org/questions/transforming_resistors?board=a08c2f3f-669f-4c9f-aa01-ce52cd01f916&stage=a_level

unsure how to use the transforming circuits rule in part a) of this problem to find I1 in the part b) circuit.

- I tried to use kirchoff's current law to get: 22 = I1(1) + (I1/2)X(3),
which gave I1 = 8.8A but that was wrong.

- I attempted to draw a transformed circuit via the rule but unsure if its right (I'll post the diag in the comments), but am unsure of how to use the formulae.

I am STUCK!


The R4, R2 and R5 resistors form a triangle network of resistors and the triangle network of resistors can be transformed to / replaced by a T-network of resistors.

Then you can use Kirchhoff rules to solve for I1.

Spoiler

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