Calculate the value of current and indicate its direction Also calculate the potential difference between the points (i) `B & A` (ii) `A & C`

Explanation

Net emf`=E_(2)-E_(1)`, total resistance `=R+r_(1)+r_(2)`
Current in the circuit is `I=((E_(2)-E_(1))/(R+r_(2)+r_(1)))=(4.0-2.0)/ (5.0+1.0+2 .0)=0.25A` (from C to A via B)
(i) Potential difference between the points B and `A= V_(B)-V_(A)=E _(1)+Ir_(1)=2+0.25xx1=2.25V`
(ii) Potential difference between the points A and C =potential drop across `5Omega=5xx0.25=1.25V`