In the circuit shown in figure

`E_1=10 V, E_2=4V, r_1=r_2=1Omega` and `R=2Omega`.
Find the potential difference across battery 1 and battery 2.

In the circuit in figure E_1=3V, E_2=2V, E_3=1V and R=r_1=r_2=r_3=1Omega Find the potential differece between the points A and B and the currents through each branch.

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

In the circuit as shown in figure, E_(1)=2V , E_(2)=2V, E_(3)=1V, and R=r_(1)=r_(2)=r_(3)Omega . The potential difference between points A and B will be

In the circuit shown in figure E_1=7V,E_2=1 V,R_1=2Omega, R_2=2Omega and R_3=3Omega respectively. Find the power supplied by the two batteries.

In the circuit shown in figure E_1=7V,E_2=1 V,R_1=2Omega, R_2=2Omega and R_3=3Omega respectively. Find the power supplied by the two batteries.

In the circit show in the figure E_1 = 3V, E_2 = 2V, E_3 = 1V and the resistances R = r_1 = r_2 = r_3 = 1Omega . Find the potential difference between the points A and B and the current through each branch.

In the circuit shown in fig. E_(1)=3V, E_(2)= 2V, E_(3)= 1V, R=r_(1)=r_(2)=r_(3)= 1 ohm . Find the potential difference between the points A and B and the currents through each branch.

(a) Find the equivalent resistance between A and B of the network extending off to the infinity shown in the figure . (b) If E = 12 V , R_(1) = 1 Omega and R_(2) = 4 Omega . Find the current in R_(2) nearest of the battery .