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In the circuit in figure E1=3V, E2=2V, E...

In the circuit in figure `E_1=3V, E_2=2V, E_3=1V` and `R=r_1-r_2-r_3=1Omega`

a. Find the potential differece between the points `A` and `B` and the currents through each branch.
b. If `r_2` is short circuited and the point `A` is connected to point `B`, find the currents through `E_1,E_2, E_3` and the resistor `R`

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