In the circuit (see attachment) we have 2 sources. If we decrease the EMF of the first source (ε1) by 1.5V, the current changes in every branch of the circuit. How does the EMF of the source ε2 has to be changed, so that the current through the ε1 source would be the same as previously?
The Attempt at a Solution
I guess what we need to do here is to find the dependency of ε1 on ε2. Is using the Kirchhoff's equations the best way here? I wrote down such eq:
I_3R + I_1r_1 + I_5R = \epsilon_1
3I_4R + I_6R + I_1r_1 = \epsilon_1
I_2r_2 + I_6R - I_5R = \epsilon_2
I_3 + I_4 = I_1
I_5+I_6 = I_1
I_3 = I_5 + I_2
I_4 + I_2 = I_6
Here r1, r2 - internal resistances of the sources (since there is current flowing through the sources, they must have internal resistances, right?)
I3 - top left resistor
I5 - down left resistor
I4 - top right resistor
I6 - down right resistor
I1 - ε1 current
I2 - ε2 current
But couldn't solve the system :/
Maybe there is a better way to do this? It seems to me there should be something simpler than system of 8 equations?
Any help appreciated!
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